Maths-
General
Easy
Question
![fraction numerator 9 plus 6 i over denominator 13 end fraction](data:image/png;base64,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)
![fraction numerator 9 minus 6 i over denominator 13 end fraction](data:image/png;base64,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)
- 9+6i
- 9-6i
Hint:
The sum of infinite GP is the sum of an infinite number of terms of a geometric progression (GP). We may think that the sum of an infinite number of terms is infinity always. But this is NOT true in the case of an infinite GP. The sum of infinite GP is a finite number when the absolute value of its common ratio is less than 1.
The correct answer is: ![fraction numerator 9 plus 6 i over denominator 13 end fraction](data:image/png;base64,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)
we can summarize the sum of GP formulas as follows:
- S∞ = a / (1 - r) when |r| < 1
- S∞ = ±∞, when |r| ≥ 1
Related Questions to study
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The IUPAC name of ‘B’ is
The IUPAC name of ‘B’ is
chemistry-General
chemistry-
Match the reactant in Column-I with the reaction in Column-II
![](data:image/png;base64,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)
Match the reactant in Column-I with the reaction in Column-II
![](data:image/png;base64,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)
chemistry-General
physics-
A semi circular current carrying wire having radius R is placed in
plane with its centre at origin 'O'. There is non–uniform magnetic field
(here B0 is +ve constant) is existing in the region. The magnetic force acting on semicircular wire will be along
![](data:image/png;base64,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)
A semi circular current carrying wire having radius R is placed in
plane with its centre at origin 'O'. There is non–uniform magnetic field
(here B0 is +ve constant) is existing in the region. The magnetic force acting on semicircular wire will be along
![](data:image/png;base64,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)
physics-General
physics-
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle
to the boundary of magnetic field. Find the angle
in the diagram.
![](data:image/png;base64,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)
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle
to the boundary of magnetic field. Find the angle
in the diagram.
![](data:image/png;base64,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)
physics-General
physics-
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1–3 is /are correct?
1) The magnetic field strength may have been increased while the particle was travelling in air
2) The particle lost energy by ionizing the air
3) The particle lost charge by ionizing the air
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496550/1/966827/Picture519.png)
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1–3 is /are correct?
1) The magnetic field strength may have been increased while the particle was travelling in air
2) The particle lost energy by ionizing the air
3) The particle lost charge by ionizing the air
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496550/1/966827/Picture519.png)
physics-General
chemistry-
Collin’s reagent causes the conversion
Collin’s reagent causes the conversion
chemistry-General
physics-
A particle having charge q enters a region of uniform magnetic field
(directed inwards) and is deflected a distance x after travelling a distance y. The magnitude of the momentum of the particle is
![](data:image/png;base64,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)
A particle having charge q enters a region of uniform magnetic field
(directed inwards) and is deflected a distance x after travelling a distance y. The magnitude of the momentum of the particle is
![](data:image/png;base64,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)
physics-General
physics-
Net magnetic field at the centre of the circle O due to a current carrying loop as shown in figure is ![open parentheses theta less than to the power of ring operator end exponent 180 close parentheses](data:image/png;base64,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)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496533/1/966789/Picture517.png)
Net magnetic field at the centre of the circle O due to a current carrying loop as shown in figure is ![open parentheses theta less than to the power of ring operator end exponent 180 close parentheses](data:image/png;base64,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)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496533/1/966789/Picture517.png)
physics-General
physics-
A nonconducting disc having uniform positive charge Q, is rotating about its axis with uniform angular velocity
. The magnetic field at the centre of the disc is–
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496530/1/966787/Picture516.png)
A nonconducting disc having uniform positive charge Q, is rotating about its axis with uniform angular velocity
. The magnetic field at the centre of the disc is–
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496530/1/966787/Picture516.png)
physics-General
physics-
Two insulated rings, one of slightly smaller diameter than the other, are suspended along their common diameter as shown. Initially the planes of the rings are mutually perpendicular. When a steady current is set up in each of them.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH0AAACDCAYAAACgGBRMAAAgAElEQVR4nO292Zdc15Xm97vzjTEjI+d5ABLzTIEgQYAUNVAlyXKrqqtXVXX1Wj14+bX94vYfYPtfcD3ZXi5XLy+rSqWqbkkliiJL4gyRFABiBjITyHnOyJjjzqcfTmQCIEEgEkgMBPCtRTBXZN4bJ+K7Z599zt7724inCK7riv/1f/vfRUtbuwBEOtMs/uf/9L+IQqHwuIf2REHlOZ45PCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRTRbqugqbc/pqigKrc+e+fVTxVpKso8EXS+dJLzzz0xz2Ar0IQCYIIIgRuKKj6Ai8CgfjS3yqKQjqls5r3yDnRbb/zQkHBjbBTsFiN8IIIcce7ACgYCsQNBVtTUBUFXQHji+bja44nkvQgEixXI6pBhC8EOSdirhJQ9AShuEnYOhWKohBPpSjnHCZLwcZ9FKDkCyaKAQs2jC04lL2QSAiiW64XGz8rJHSF7oRGW0zD1BRimkJrTMPWnx7iHzvpTiBYdkIWqyF5N6TkRazUIpYdSXoQCcq+IOeEuCFoKmiKgnbLWh2hQMyglqtyo+ADEEP+/lre56fjZZS1JpbWKvhhhK4ot1wLkYAwEoQCDBWaTJW0qaKrkvQWW6MtptJkqTRZGl1xja6EhvE1dRYeK+leKJitBHy26PLxgsOVNZ/pcsCKE1IJBH4o/05RQFfA0hTihoqlSYdNAQQKfgQVXcPJ11CLPhqQMEAoCudWPU5fLEG2hOZUsVRB0lAxNKV+PYRCWhcvFHiRwAnkUgLSOYzpCs2WSm9SZ1fG5NUem9d6bHoSj33O3Bce6ahrgZyxS7WQ+UrITDlguhxwoyj/v+aEBJEga2n0JBRMTf6X0BXSpoKuKLgR5N2IqZLPYi2k6gt8AVo8wowEZt32i/q/lgoxQ8XToBoJyl7Ici3E0BSaTJWWmEZfQqPF1kgZcuauuhF5N8KPhHyg/AgvFCxUQmqBS9ELGS/49CR02uMa3QmN3oRO1pbW4UnHIyM9CAUzpYDzOY8P5hw+XXIZL/isuRFpU6UvqTHcZDCY0hlM6wymDLK2XEuThiS9FghuFAPOrni8NSVYdSL8MAJFrsPtlkkxrpED3AAMAbsyBgeG41TTca7OO9woeCxWQvxQWo7BlM6JLpsjbRa7mnUylsqaG5FzItwQCl7ERDFgrOAzXvCZLPu8M1Pjv1yvkjZVhpt0jnXavNEX40CrSXdC40nfLzxU0nNOxEI1YLoUMFkKmCgGTJUDpkoBOSekyVTpSUiSdzUb9CV1uhMaAymD3qSGpijkvYhVJ+T8is9sJWS6fn0QwWBKZ3/WpD2hsaMrRcLxOdVs8iFQFZAC+pI63+6LYbbajCWT3Ch4jBUCVutWpRYIrqz5OIFgpaYzmDboSepsbzKwdQUvhKF0wFB9jNPlgPGCz0QxoOBGrDoRnyw6rLkRny65Gw9tf8qgLaYRfwIdwIdGetWPuLjq8fGCwzszNc6veqy5EaaqMJDS2d9icqDVZH/WZFvGoDOhE6tvjWL1L2qlFnJ5zeO9WYdfT1W5uubjhoK0qTKSMXixw+JEt83hNovhrE65nMZplaRHgBDQldA50R2jIwu1tjTLVbmcnF91+f2Cy4Wcx88nqtQCQcZU2ddi8OPhBN/qjTGY1uvOm8lQ2kAAfiRYroVMFH3OLnucWnS4lPP529EyAuhJaLzQZvGDwTgvdlgMpg3sJ2zLt+Wk+5HgRsHn8xWP9+Yczq96zFcDLE1hd30272o22J012dlsMJw26Ihrt90jEoKxgs9nSy7vzsp7LNVC0qZKR1xjW5PB/haT/S0mh1pNhpoMAOykTtK8/bzJ0qQTBhDToD8lTXizpZK1NAbSOldy0oFcdULmqyFvTdVYqIac6LJ5od2iI65tPIggfYFWWyVjabTYKn1Jj/OrPrOVgKovuJDzcELBeCHgZLfN/haT9piKojwZ5G856XOVkJ/fqPKb6RqfLrm4keBIm8WxDotvtFvsyRq0x3RSpoqhgnqHL+JKzudn1yv884y8h6YoHG03+Ua7xYsdNjubpemU97h5ve9FuOHtxy6hEDihwLzltaShsjtrsKPZ4Ht+jNWadMx+v+jy2bLLqQWHd+ccJooBtUBwrNOiN3n7V5U2NQ61quzLmnzXCZksBZxf9Ti14HB2xePNqRofL7gsVAPKfpyXOy064k+Gt78lo/AjwVI1ZLTg8+miyzvTNabLch3sT0lH50ibyc5mk96Edkei/UgwVw64uubzUf1LX66F7G42GU7rvNxlc7DVZGfGpDOh3dFVEkiTfttrdzh6UxX5sBmArUnPPWtrpC2V1piGrihczfuMFXx+OlZmshzwYofF9iaDzrpVWr+HrkJvUqe5bj1abY2ehE7WdlmsBny+4lH2IxarAUc7bEaaDFLm4z39fmDSvVCwUgv5YM7hJ2Nlzq14VHzB9ozBn48kONlt053QSVsquqJwJwvnR4L5SsBvpmv8/XiFyzkfJ4w42GrxFzuSHG236EropE3ljg/MViBraxzvirGr2eRgi8WpRYd/uF7h5xNVzqx6XFy1+cFgnO/0xWi6A2kxXWVns8mOjMHxLovXcz4fzDn87ViZn41XuLrmcy0f8K+2J3ip034on6FRPDDp14sB70xX+d2swycLLgAvdli80m1zottmb4uJdheiyn7EmWWXD+YcPpp3uJzziekKxzpjvNJlc7zTZiRj3PFh2UqsrxIttsahNgVLUyh5EYaqMFcJ+XjBwQkFa07I0Q6bPVnjtqVl40dFoTuhkzBUFGC67BMJwXQ54K2pGqaq4IaCfS0mLbb2pXE8CjwQ6U4g+MOSw/99ucTFnEdcUzneZfE/7k3xSrdN0lDvSng1iJgs+fxiosp/vlqm4Eb0JXW+0xfjz0eS7MkaJE31oRP+RaRMlf2tJi0xlcNtFn8/XuHtmSq/nKhwcdXjX41EdMRTG6b+Tmgy5bWKIp3Hvx+rcCXv4Y4LFmshfz6S5I3+2CP8VDdx36RfL/p8PO/w1nSNpVpId0LnlU6b13ttjrRbNFt3f4pDIfh8xeOfp2v8ftHFCQQ7mw3e6IvxWk+M/a0m6ce49sV0haG0gaUpOKEgpsMH8y5jBZ93Z2v0JzWOdco1ev2h/GIgKGur7G8xMVRQUDYOpD5ddGm2VHQV9mbNL+1eHjbui/QwEpyad/ir80VmyyFdcZ2T3Tb/ekeSvVkTs4F96ZoT8ruZGv/ftTK1QHr43x+I82fbE/Sk9Ds6YI8aqgKdcY0fD8c50mbSbJX4m6tlLqx6/GSsTDUQdMakAwh3PoeTuwybPVmTSzmP//NSiXema7w1VSXnhPzJtgQ/GozzKM3ZpklfqoacXXF5d85hNO/TGtP4Vm+Mb/XG2J017xmCFAIu5uTW5sN5h5wTsb/F5L8fjvNqd4yelBzSE7KlRVcVdFVhJGNwsttmsRpyetnlzLJHTFPoSWgcabPoTOi3ZejcDNeCrSnYmsb+FpPXum2qfrRxjtEZ19jdbDCYNh7Zuf2mST+97PKT0bL80IbCsQ6LP92e4ECL2VCoseJH/Hqqyk9GKyxVQ3pTOm/0x/iLkSQtscfj2DQCRVE42mGTMFRMTeEno2VOLbikTJWSL/jBYPw2r/5O30TCUPl2b4xmS2XNLfHOTI1Tiy57siYRsL3JfCSpXQ2TnncjruY93p6u8eG8S1xX+H5/nG/1xhhpMhoy6Xk34vMVlw/nHS6ueuxsNvheX4zjXfYTTThIEjviGrpiMtNlM18JGc17fDDvoKsKu7MGB1qsu5JmqAr9KYNQwKE26R/MVgJ+PlHFi+TxcucjOMBp6B0EcH7V5ddTNX43W2OuEvD9gTj/YXeafS0Gln5vh8sNBX9YcnlnpsalnI8AjrZb/NlIkm1Nxm3m8EmFArTENE722MR0hb8br/CP16t8rLkc7/RIGyo9SR3rLhNAUaA7KSN7BTfkvTmHNyerKMBw2kBXFJpt7UsJnluJhkhfqYV8sujy1lQVJxR8s0eu4TuaDeLG3QmPhIyjX817vDlV5d1Zh5iu8L3+GK/2xBhu0okbTzrdN6EgI3eqojBXjRgvhjhBxNszNfxI8KOh+D1nq60pHG6zEAKKnmClVuPCqsfPxisUvYhv9cYe6qndXUcXCSh40ox9sujy+YrHq902/8OeFIfbTBINkOWEgmt5jw/nHN6aqnFlzedPtsX5NzuSHGi1iDdgJZ406PVI4clum6IX8eG8w3uzNSp+xJE2syETPZDSaanH7lcdGZH827EyoRAcbDUfJ+mC03WTPF0K6E7oHGy1ONxmMpg2GnoDr27W359zKLgR3QmNg60WR+pHq19n7Gkz8cOIihdwfsVlNO/z0byLrakMNRn3jKUnTZWj7RYFN6TqR3w873Ax53Et75M2ZT7ewzDzd/3Wq4Hg/TmHn41XiWkKr/fEeLnL3hRZRS/k00WXT5dcMpbKkXaLI21ff8IB7MBjp1llb9yjN6Gw4sFvZx0iAT82VQZS9/6Mu5oNkkaC2UrAmRV3Y0uYMlUOtqoPJQnjjqOKBDhBxNU1j3OrHuMFn5PdNid7bPZlzbs6KrfeoxZEjOYDruR9VmohL7RbfLvXZkemMSvxpCG3tsbiwgJz8/MsLCziFNeIfI+5WDfbswcxzAyXcj6GCi91Wg2RbmgKfSmdPVmZH1DyBb9flKTvzBjE9a3f1dxxVH4kZJh0yeVGMSAQMNRkcLzTYqhJb8jTrvgRF3Meny25LFRCbF3hUKvJaz2xR37s+KCIhGBtbY2rV69y9uxZTp85w4ULFynkVjAMk5Fj3+Ton+4knYzx/6+6nFv1mCoHHPAjYvdwdEH6CDubTV7vifHxgsvpZY+MqfJHfXGyDyEoc0fSQyG4lvc5vezhhoKhtMH2Jpk7ZjZ4elD0It6bc3hvroZaP2Pe2WzQ/RXx9CcNnudxY2KC69evMz8/z9z8PBMTk0xPTbG0vEylUiERT9Db28PB7f282J0krsqcuIInGMsHjGZ8htKNxc+3Nxl8pz/OihNxetnlYs7n7IpL3JDFFluZY39H0t16suC5FY+4oXKo1aibmsY9ylUn5L05GUzZl5UzfFuT8bUgHMBxXU6fPs2bv/41ly5dYnZ2jkqlgq7rtLa2Mjw8zO5duziwfx/79+1lW18LXkllKKUxWwm5kvfpXNZosrSGSO+Ia5wwbS7mPP7LDZW5SsCpRZe4ofJSp02z9TBJFzLl6cqaz0Qp4Gi7xckeuQ43+rBFQrBYDZkrhziBYG+LyWs9Nv3Jr5fzViwWyeVyoCj09vbQkm2hr6+Pnp4e+vr66Ovtpbunm56ONjLpON0hHG4zAY9rax6WCvtbzIbWdpCRve1NBkfbTRarITeKAaN5n0OtFlhb97luG40fCVZqEWMFmTG65ob0pTRe6bQYTDc2cDeUhM+WQ9xQkLVVDrWavNhufSlp8UmGrmnE43E6Ojo2SN67Zw/79u6lra2NeDyOrusIIVBV+bmydsDRdpuSJ/jNtDzI+hfVcFPv25+S+QSnlz2mSgHXCzKLCLZubf8C6TBZ8rma91h1QgxFoTOmMZjWSTbgkACUvIhLOY+xgi8zUW2dnsSXs1QfFRRFuWMWahAE5HI5hIDm5gymad72e8Mw2Lt3L4lEAtM0aW1poaenh+7ubjTtJgG33jtlqIxkdMYLOkEE85WQqZKs3GmytIYsZWdc43CbxVwl5KN5h4ypUva2Ns58G+leKLhe9Lm65uGHgraYRntM21QyQ9GTYcNreZ9mS2UobZC1H98MFwjEF4LzjuOwuLjI2Nj4BrktLdnb/sYwDA4dPMjBAweAmw/P3dKYbV2hL6nTl9SIGwo5J2K6FHC9GLC9SaHJuvf3kLFUdmQMPomp5JyI2UpA3t2ctbgXvmTep0synTemK3TEddrimyvTKfqCz1c9rhV8tjfp7Gw27plF8zChoBCGIb7vc+HCBSYnp5iammJyaorZ2VkGBwfIZJq+RDqwYbYbhaUpdMU1epI6zaZKrhYyXw2YKPq0x7WGSDdVhc64RkdMI2UqBJFgoRqyUgvJWFtTK/cl0mcrAXOVkGZLZW9W5pdvBmU/4lq9+vSlDosdzQZp8/F57LVajfmFBarVKm+//TanT5/hwsWLzM/P43keL7/8Mm9897tb9n6aqtARk0UZ8xVZgTtZCtidje59cR26qtAW0+hJaAhgthIyUQrYoW3Nd3kb6RVfMFeRteIDKVnPld3kLPVDQdmPiCJZUjSUflzruYKmaVy4eJG//uv/l5pTY/TaKMVSiWw2y9DQIL09vXzjhRfYtWvXlr5zV4vNrq5m1hSHqq4yF1pElnnvC29BT2uCnV0KK07IkrCYC012b+4WX4nbSC+4EUu1kIIXkbFkReZm12MnFISRwNakmeqO648lkqaZJqqqcv78eS5cuIAQoOsafX19HDp0kBdeeIFjR48yPDxMKpXa0vf2nYhO3aVLd1mqRsytuawW0pBofN+leD6dmosbBSysuVzXTA6lkyQSD/5d6iAL8otexHw1oOBFKIpCV1xnW5OxUQd2L4RCUHQjFqsh1UCgKLJ8KG2qDzUh4FaYprnhha+/ped5eJ4HgGVZ5HI5xsfHCYKQpcVFMk2ZDWdP+nv37ymrdYWMlVrIxZzHXDkg70Z4hsrffWRzrtlAQS6jXwVNkWIJM+WAizmPVSdCQZCLa6y2yLq6UMizkHvBdT00TePggQO88cbNJaxOOqzUJUCcQGBpCh1xjb6kTNpvBFVfMFUOmCkHuJEgYajYdVGBRwXf9/F9/7bXbn0QAAqFAufOnef8+QsPdSy3UrIKTDzgPUaBDzd5falUwjBN/v2/+7dfJl0gifcjOesRAlNVbqnUvDcqgaziWKqF2JpCq60+kpot1/NYXFxkdnaWy5cuc+bsWUDOapAz3XFcIhGhIGdIFIQgtnYb9EUoyEM0W5MZwIXG/bgNqPV7GKrkp3of43BrVXKrudte21jT1/XWpIiPUhf0afzmTiC3FgU3IqFL0pMPOQ3K8zympqa4ePEi77//AZ999hkzs7OA3GfDl2f640LLA15vIMWTNoNiqYRpGGSzzbe9vjHTQyGT9tKmQihUUsbm6qlDIfBCCIRAUxVMVXko6bzVapX5+QVu3LjO2Pg4o6Oj3JiYZHFxkbVcDteV9XSe72MC33jhBV599SSZTAbHcb50ULOVUBQFFZl8slwLuV6U1SyhgDf6Y3yjXWbLehtG5stjWQ9IVX2ZRnV5zePTJZekofKDgfhGLsLNiuyv/jzra/rhw4due10HafLcUEpqrUtpJe9rPygHoGz8s7WoVqvcuHGDc+fP895773H27OdMz8zgui49PT10dXWhaRrzCws4tRq6pnHo8CH+p//4H0mn01s/oK9A0Yu4nPN5e7rGmQtFwlDwvRNZ/u2uxncJMuXc5x+vVzh1vkgsrvEnr7bwvf74A49PB7mWL9ek6lMoBDFdeaD4rVwqtob1YrHE7Nws4+PjjI2NMzo2yuTkJHNz8/iex8jIdvr7Bzhy+BCZpgy/eftt5hcWiALp0JmGueVbsnshbarEUxZWQgc7glBgJzY3hpSlkkhZmHEV7Ag1phFPPjjhUCc9FIKCF7HmhngRxPUHm6iCO8t5bhb5fJ7x8eucOXuW995/n4sXLzI3N0cQBLS2trJjZIQTJ07w0kvHOPbii6iqyvzCAm/++tcb9/A8j1Kp9MhneqXk4VZq4JQgFNTKJlL6qDGU3IhKycerVMApE6ka1bIF2S2a6bqibGiwGIoiNVnvg7P15VJR7n+mr+XWmJqZZmxsjLGxMUZHx5ianmZxcQGA/fv309/fx8j2EbZv28bwtmH6+/o2nDVNe7LCt4L73/k/rGVSB7klWI+oKYo8jvXug/WNkl1xfzN9aWmJsbFxPv3sMz744AOuXL3K4uISigIdHR3s2bObV0+e5IUXjrBjZAfNzbd7pevbsycJD6JCLR7kibkLdJBep1H3toteRM6NKPubezeFuo64kHvKILqz3sutEEKwvLzMxOQEo6NjjI6OMj5+nenpaVZWVzFNk2PHXmRwoJ+RkRG2bRtmcHCInu5uMpnM/X3iRwSFeii2bvM2S3wk5LIbCEEUCRBbp9MuSUfuyYWQqsk5J6LkRYRC3FVJ4lZoqkJMlxWdXl2U707HjUIIFEWGO+fn5xkdHeXjU6f46OOPGRsbZ3V1FcMw6O7u5sCBA7z26qscOniQ7du3k0hsjSPzKCDqhn39fGqz4YdACCqB3FVpClgaW1bKfEvA5aacQihuCuM2UroEEK9LZrfYGm4oWHUjyl849ArDgIXFJa6PX2d0dJTR0VGu37jB9MwMhUKepnSavXv2MDQ0JGf28DADAwN0dXU2RLgQAsdxyBcKABTzeWq12kPdm98JkWBD2mw9YLXZoFPVF8zWz+6bLJX2mLapE9K7oW7ewdRk5oehSforfiTF8TUFrYEnLKHL+q7OekBgzQlZqwW4QYSlq7iOw+zcHJevXOHDDz/i008/5caNG+QLBWLxOH29Msx58sQJDhw4wPDw0MapWqNQFIVEIk5baysLc7NkW1tJJpOPXLQvEIKSH1ELZPlx3FA2XaRZCWTWTMmLaI9p9KUaj4PcCzrIbI32mNQwT+jSPC9WQ6bKAbauNJRwHzekNHZPUsfSVWpeQK5U4dqNFRYmxxkfG+Pa6CjXb0wwOztLpVKho7OTbxw9yrbhYUZGRhgeGqK/v5/Ojo5NEw6gaRqvv/466XQTpVKRRCLBwQMHN87hHxW8UOYlzFYCgkhga5vPeAkiQcWPZGlzQuYZbpXcqA5SWyVlqnQndLL12uiFaijlRerCeo0gbqi0x3VSpk6xVGF6epVPRif4/Pcfcv7zs0xMTlIqV0ilUgwODnLs2Iu8cvw4+/ftY2Bg4IFnpKZpvPzSS7z80ksPdJ8HRTWQ3SQmiiGhkCHmzcae3FCQdyMiAT0JnYGUvrXmfR1SglunM66Tc2RZ0rYmg+2bqD2LGRopS8NZW+SDc29zdf4M83Pz1PyAwcEh+tb32Nu317NXeujo6HhgwtcdxPv9/Vai4skKoYmSz0iTwVBa37RS1pobcXnNxwsFL3ZY7MgYW2ve1xHTFIbS8qkquBEXV32OdWwuBGnpCp1JHdsvc/HcGeITn5FpamJo+3aOHz/OsWPH2Ld3L11dXVvyAdZxL0If5bq+6oRMFAOWqiEvdVqMZAwyDSajSEgVzvGCT8qUy+b2zL1LnxvFbaQbmkJvUqcvqTNTdria91iubY70JkPhUItJcbCD8b0v0zQwwH93cIiT+0fo7eunraub9ra2LRn8rXgSZnoQCdacaKMliZQC19meNkibjS2RkYC8E7FS71rRYksFq62sAbyddFVWWAw36Xy0ILMwl2tSXsNucMuRNhSOtOjUtnVTqr1OWo/41rd38Z3trVsy4K/COqFBEBCG4QbJmqah6/ojmekVX3Cj5DNZkrr0SUMul/0pY6NVyL2Qd6Ww8nw1wtxoGrS1RZ+3kW5pCjsyBjknJGup3Cj6zFVDpkohA2mlobr0lKGwp1lnsZTgl8k2coFgNorjsqXlWHdEEAS8884/87t332VtbY10Os0rx4/zve+9gW0/fBHeWii4XgiYKYcYqkKLLU1zR1xrWBdvvhry/rzDeMGnI64xnN66rdo6vjDTpXnfmZFi/JdyHvOVgHOrHnp9vb/X2GO6wkBSoy9toJpxFhyfc0s1dqZVdjSbZDe1tm0OYRTx8alT/B9/9VeUCnmsWJwg8PnmN197JKTnXdmJYroc0GLLSpWuROOEA0yVAj6cd5ivhAymDXY231uQcbO4IwNtMY3dWVmTPl0K+OVEhcs5r+HzY0NTaI/r9KZ0EobG5TWfD+cdlqrBvS9+EAhBGAa4rsx+9TyPIHi4uXDrCCOYKAZ8VNeP3dZkcLzLpn0TxSK1QJaVnV6WWbA7m3T2ZA0SW5xCfse7JU2V/S0Wh9ssir4UF7iY83CCxrP7spbKwRaDkbTKXDngo3nZKeFhQlEUTNMilUoCkEqlsCzroa/nbr2/3LW8z8WcR96N2NUse8w0esZR8iJG8x7j+YDlWijbn2RNdmaMRzPTLU1hf4vJiS6bjKkyXZZ10hPFAC9s7Bw7a6v8UX+M7w/EQYHPVzzOrnibusfXBQV3XT3Cw48EHXGNvVmT3c3mHRsC3AnX8j4/G69wcc1jIKVztN1if4tJf+ruYoT3gzuOSFNkcfw32mW3IV2Ra81nSx43igGNcJYyVY532XyzJ0bWUlmqhZxddvn9gsNM+SGb+UeM2UrARwtSILnN1tiXNTf25o2cvnqh4OyKyy8nq8yWAw62mBzvshhqkiLBW22n7qg0oCoy+NKb0jncZjFZClishvx0vEyIYCito93j6VOQjmF3QmN7xuB60efMskcgpDDucNPXU2Hqiyi4EedXPd6ZrlHwIo53yge9K9GYWV91Qi6teny84HJlzWc4bfBCu8WBVvOh9XS7q+3JWCpH2kxOdtkI4P05h98vuJuaqWlL5UCLyZ6syYoT8t5sjdPLLvOV8InQdH8QrDohF1Y9zix7XM37RAKOdco2Jo0UfoYCrq75/PNMjbPLLmVf0BrTONBqsr3JeGjlYHfVFNFVhYOtFgqyV8vlNdkr7RcTVb7ZY3Og9ebO+6tkxpK6yitdNpGAhUrIhXrbzbaYxuu9NruazXve40nFWMHnJ2NlPl5wSRmyXdeBFoPhtN5QVK3ohfxhyeXnE9WNpWFHk85wWn+o/V3uSvq63PUL7RaHWl3OLEtFwzenaugKdCc0WmP6xt/eCZamsDdrogAXclLWZLTg84sbFZKGQn/qZlXrVhG+njTxsBYsRO4AAAx0SURBVJInBDJf4A9LLm9N1VhzZaOCV7psqeR8D8IjATkn3ChkOL/qYWsKL7SbHG6zHrrOXkPqQWlTztaSH/G7WYdTCw5+JIgbCi93SuWp9W3RF2erTNCQOuc/GIgT0xTemq7x4YJL2lJptlWOtFl0b4FsqMycqZHP5wEoFfJUa9UtJ//CilS0/qfJKteLPiMZgx8Nxnmtx6algdJuLxL8dqbGP96ocmrBwdYUTnbb/JudKY52WFu+L/8iGvqmdVXhQKuJriqsuRFX1jwurHr806RKIOTav95d8Kue8YwlH5yErnK93qX49LJHq11DRaHZevB0IEVRyGSaGRgYYHZ2lvb2dlqyWZRNyoh8FYSQZcgfzjv8dEz2WksaKodaTL7Za3Ow9d4HzaEQTBYDfjvr8IsbVQSC/S0mb/TH+f5AvCGJkgdFw9OrxdbY2wI/HIyjq/DJosu7szWqfkTWkgJ3t87WL854VZEnfXuyBm/0xwiE4Nqaz68ma2h1nZVd2QfzWHVd5403vktvbw+VSoVYLMbOHTuIbdER7JU1j99M1/jVRJUrax5tt/Sv+WJbzq/C2WWPt2dqfLzgUPRCTnTb/MWOFCe77UfWnaph0hVFEn+iyyZjqQgB1wsBl9Z8fjfrIITC8S5lY6vyVdR1JXRe67bRVfhpWOGTRZfTSy5DKR0vEuzN3p/W+bqe28EDBzYUob74+wc5mSt7siHfP16XMzxhqHyj3eLHwwkOtVl3PYQR9eLQ+UrAe3M1fjNdI+eEbM8YvN4T4wcDcfpT+iNrVrTphbQ1pnGgxaQylMDSFNlMdrLGtTWfxWrAK102+1vNrwwFqgqMZGQQIYik9tqNYsD/dUk29PvxcJzDT5g0+NU1b8Ok/37RZSCl8/2BGCe6YhxslX3V7ra9yrshny65stHBdI3JUsDhNpPv9Mkuk52JxjTmtgr39c3KvqRyxmtqhb++XGKxGmKoUnPG1BR2Nn+1DmxMV9iRMYmEzNb5u7EKv52p4YQRSUO2pXyxY/3LaOxEaqszZ4JIEEQwVwn47Yzs335+1UNV4GCryY+HE+xvMcncZT/uhoK8I6VI/uv1Ku/PO8xXArK2yolumz/dnqQ7oT8yeZZ13Pd0arZkd8GcE7FcCzm95HJq0eV6MWA0H/Baj+zGeLf20cNpA0OV3qyhwlgh4O+vV/hkyeWlDpcT3Tav98Qacm62OnNmoRryznSN3806nF52WaiG9CU1fjSU2DhfuBvhABNFWWr82xmHc6vyNPKVbptv98oZfi8L8bDwQDY0baocaTdxwgRxXeFXkzWuFwIqQZU1NyRpKLzUpZDQlY2mdrd+RlNT2NZk8u1e+fOvJ2v8drbGH5Y8FqtS5Wr94bJ1FVNVvrJSRFEUhBDUajVqtRpRFKGqKrZtE4/HGya85EcsVkLOrXr8cqLKOzM1Kr6gK6HxUqfNv9yWYG/W/Ep9vSCSOe9L1ZBTCw6/mKhyasFFVxX2tZh8rz/On2yL0xa7d27Cw4IiHnAT60eC5ZoMC55Z9vh0yeHjeRcvEhxokYcNh9vkMez2r+jfVgsEC1XZO/3zFY+PFhw+W3SxNIUj7SYHWiwOtprszpqMNH116lMQBPz8F7/gV2++yerqKpmmDN/+1rf44z/+MbHYvcU7ZsoBn6+4/HbG4bMll+lygKooHG2X0uUH68ejzZbGnYpja4FswHN2RR66XMrJAJWty1Yor/fE+EaHxbYmveFysYeBB/aW1oMqXYkYu7MGfSmNsh/xhyWPPyx7TJelVOaKE1ILIkYyBjFd3dC3UZSbzWwH0wYHW03aYxplT6YAvzfrMF6QKpY5J8IPpSK1qSkbEl7riKKIM2fO8Dd/859xqhVU3SCZTPDDH/7gS6QLZM/YdXmu+WrIZ4suHy04/GaqxkQxoC+l82KHxR8PJ3ijP/altKX1e/iRrAi6lvd5f67GqQWXz5ZcSr6gP6VzrEP2nzvZbW95mPR+sGUusgK02TovdtiYqsLhNpeP512uF33emrop9n+4Vc7+Xc0m3UlZD3/rPToTOt/slU7iB/MO70zXmC4HLFYrfLLksG/W5HCbydF2m93Nxm2dG01VFlKuW4KbIr53GLAQsotiwef8imzB8fmKx0I1RFfghXaL7/TFeL03xq7mO+ech5FgqiTTyT6ad/h8xePqmk/Jlw7pix0Wf9QvO0yOZIwngnDYQtJB7kX7kjodMU3Kgxoq788pnF72uF4IWHMi5ishy05EzonYnpHtPZKmXK9NTc7cobTM0WuPa/ih4KMF2YL6cs5nqRYyVwkoeYKSF7GtSaczIYsJip5AqAbxeJxapbwh271+auALcIMIJ4iYq4Rcrnev+GTRYawQsOqEJHSVA20mJ7tj/HAwzoFWGRC6dVYHkaBal1C7lJM9696fc5gqBfiRoD2mcbDV5ES3zY8G44w0P351q1vxUDbDpibN9b8YkmHVizmfa3mfG0WfpWrILyeqvDVVoyOusS2ts7fFZF/WZKhJp6tes6WritzDxjW+m5NLxWjeZ6Guavmz6xV+M11jpElnZ9bkSH+GWM1l1bk9J05TYP2Q71LO59Kqy7l6D7XJckgtEMTrTYX2t0i/YSit05eS9WPrWH9QJooyLerKmpQ3n6qHmdtjGkfa4uzOmgym5APbVc8TfNLw0EaUMFRGMiojGYMDLSFX8x6fLrp8Vm9DPV6UZT+TRU3q0boRC1WDnmRAR1wjY2kkDYXepIatWdiaQtZSubymcCnnc25V5qKNFzTGiwGLIk5b4DBduhnrV4BVJ+Lcqosi4NM5h9OLDp8uOdwoBlR8QZMlO0/szsrDkv0tJpauyFp9L6IaCPJuyEI1ZLoUMF70uZTzuZzzmK2EOKFge0ZmGb3abfNyp03rE94s+JE8hq0xFUMz6UrovNhpM1H0mSwFzJZlMUUlkNG7N6dqhELQZKp0JXQylkJCV7E0uVaHEWRMjV3NkNBVVp2QCEEtFHw07xIWK6zlZCZsWgVNlYkf46fWULNxqqUybhCioGyUCWVtjZ6EjqUqXM3LvjWrTshKTRJe8iLmq6GsWBFS6DhhqOzJmpzsVmmPaww3GexuNulP6g+lpdZW45GQrquyUqPF1tiRMXipw9qoir205nFtzWes4DNdluu1piq0xwLsuvpC2pT65xlLI6mrxDWV3iSkTIW8G7HiRMyUfXI5D70aYiOVGwQKE6WAK1M1qNSIBy5ZU6Znt8VUWm3ZSclSFfJexOJyQMmPWFjfKUQCr66bWwkE7TGVbWlZkLgva7Kz2WRbkyxmiH2NesY+lgXHrMuCx3WFgbTOia6IvCtrwCZLARVflugW/YjVWkjejZgth0yWpGetAIGQZwReKHBCEAbENTYSwEIBCoIWS8XOGERpA6esIYjIu7JUa7kmK1HWfeogkrGBhCG7IrbYKpl6v1NLk606BtM6rbbs0tBkSv3bJ8UrbxSPzcswNdlk7tb1zw2ls5R3I4r1U62ZurL0dDncqNeWc/jmVkxVFIyERWDZzCQ0ZqOIagB2GNGX1DjYF0NtibOc86j5oRTvEXXhpg0lLHmzpK7Qk9TpS2n01su2m0yFdL1+/1GIHD9sPFGupaWpdCcUWu265k2ToOoLKkEkZc7Cm0JlSv0fBbkfTzfZ5JYD/p934VKhQAS4hQL9dsBf7kjS0WeQW2vCDyMiUZcBqt/s1iNJQ1WI6woJQyGuq8R0uZXcrCr2k4wninSQZvS+zWU8wbUdvZzbt4/Z2Tna29s4sr2Pl7vj6CbQ8WTtlx8XHvjs/cmC4Mb4OKPjN6jWati2xdDAADt3jID65HvVjwpPDelPgijB1wVff6/kOTaNp2amP0fjeD7Tn0E8J/0ZxFND+r1Wqeer2E08cfv0+8V6jtxaPk8hnycIAjRNI93URLa5edPNcp9mPDWkg8yR+9U//Yqf/cM/sLS8TLa5mR/+8Af85b/+y6+VbPjDxlNFehRFXL5ymf/6858TeC4oKn39ffxZ4N/74mcIT5fNUxR0Xd+QDzMtC0N/OhQvthJPFekKoGn6htS3bduPTC3y64SnivTnaAxPHelRFBEEMk/ODwKiKHq+XfsCnirShRC4rkupVAKgVi7hOM5jHtWTh6fKe1dVlYGBfo6//DLzCwu0trYyPDyMpj0Pq96KpyrgIoRgZmaGubk5XNfDMA06Ozvp7+t7TvwteGpIfx5PbxxPDenP0TieKkfuORrDc9KfQTwn/RnEc9KfQTwn/RnEfwN18yfZGbbOfAAAAABJRU5ErkJggg==)
Two insulated rings, one of slightly smaller diameter than the other, are suspended along their common diameter as shown. Initially the planes of the rings are mutually perpendicular. When a steady current is set up in each of them.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH0AAACDCAYAAACgGBRMAAAgAElEQVR4nO292Zdc15Xm97vzjTEjI+d5ABLzTIEgQYAUNVAlyXKrqqtXVXX1Wj14+bX94vYfYPtfcD3ZXi5XLy+rSqWqbkkliiJL4gyRFABiBjITyHnOyJjjzqcfTmQCIEEgEkgMBPCtRTBXZN4bJ+K7Z599zt7724inCK7riv/1f/vfRUtbuwBEOtMs/uf/9L+IQqHwuIf2REHlOZ45PCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRz0p9BPCf9GcRTRbqugqbc/pqigKrc+e+fVTxVpKso8EXS+dJLzzz0xz2Ar0IQCYIIIgRuKKj6Ai8CgfjS3yqKQjqls5r3yDnRbb/zQkHBjbBTsFiN8IIIcce7ACgYCsQNBVtTUBUFXQHji+bja44nkvQgEixXI6pBhC8EOSdirhJQ9AShuEnYOhWKohBPpSjnHCZLwcZ9FKDkCyaKAQs2jC04lL2QSAiiW64XGz8rJHSF7oRGW0zD1BRimkJrTMPWnx7iHzvpTiBYdkIWqyF5N6TkRazUIpYdSXoQCcq+IOeEuCFoKmiKgnbLWh2hQMyglqtyo+ADEEP+/lre56fjZZS1JpbWKvhhhK4ot1wLkYAwEoQCDBWaTJW0qaKrkvQWW6MtptJkqTRZGl1xja6EhvE1dRYeK+leKJitBHy26PLxgsOVNZ/pcsCKE1IJBH4o/05RQFfA0hTihoqlSYdNAQQKfgQVXcPJ11CLPhqQMEAoCudWPU5fLEG2hOZUsVRB0lAxNKV+PYRCWhcvFHiRwAnkUgLSOYzpCs2WSm9SZ1fG5NUem9d6bHoSj33O3Bce6ahrgZyxS7WQ+UrITDlguhxwoyj/v+aEBJEga2n0JBRMTf6X0BXSpoKuKLgR5N2IqZLPYi2k6gt8AVo8wowEZt32i/q/lgoxQ8XToBoJyl7Ici3E0BSaTJWWmEZfQqPF1kgZcuauuhF5N8KPhHyg/AgvFCxUQmqBS9ELGS/49CR02uMa3QmN3oRO1pbW4UnHIyM9CAUzpYDzOY8P5hw+XXIZL/isuRFpU6UvqTHcZDCY0hlM6wymDLK2XEuThiS9FghuFAPOrni8NSVYdSL8MAJFrsPtlkkxrpED3AAMAbsyBgeG41TTca7OO9woeCxWQvxQWo7BlM6JLpsjbRa7mnUylsqaG5FzItwQCl7ERDFgrOAzXvCZLPu8M1Pjv1yvkjZVhpt0jnXavNEX40CrSXdC40nfLzxU0nNOxEI1YLoUMFkKmCgGTJUDpkoBOSekyVTpSUiSdzUb9CV1uhMaAymD3qSGpijkvYhVJ+T8is9sJWS6fn0QwWBKZ3/WpD2hsaMrRcLxOdVs8iFQFZAC+pI63+6LYbbajCWT3Ch4jBUCVutWpRYIrqz5OIFgpaYzmDboSepsbzKwdQUvhKF0wFB9jNPlgPGCz0QxoOBGrDoRnyw6rLkRny65Gw9tf8qgLaYRfwIdwIdGetWPuLjq8fGCwzszNc6veqy5EaaqMJDS2d9icqDVZH/WZFvGoDOhE6tvjWL1L2qlFnJ5zeO9WYdfT1W5uubjhoK0qTKSMXixw+JEt83hNovhrE65nMZplaRHgBDQldA50R2jIwu1tjTLVbmcnF91+f2Cy4Wcx88nqtQCQcZU2ddi8OPhBN/qjTGY1uvOm8lQ2kAAfiRYroVMFH3OLnucWnS4lPP529EyAuhJaLzQZvGDwTgvdlgMpg3sJ2zLt+Wk+5HgRsHn8xWP9+Yczq96zFcDLE1hd30272o22J012dlsMJw26Ihrt90jEoKxgs9nSy7vzsp7LNVC0qZKR1xjW5PB/haT/S0mh1pNhpoMAOykTtK8/bzJ0qQTBhDToD8lTXizpZK1NAbSOldy0oFcdULmqyFvTdVYqIac6LJ5od2iI65tPIggfYFWWyVjabTYKn1Jj/OrPrOVgKovuJDzcELBeCHgZLfN/haT9piKojwZ5G856XOVkJ/fqPKb6RqfLrm4keBIm8WxDotvtFvsyRq0x3RSpoqhgnqHL+JKzudn1yv884y8h6YoHG03+Ua7xYsdNjubpemU97h5ve9FuOHtxy6hEDihwLzltaShsjtrsKPZ4Ht+jNWadMx+v+jy2bLLqQWHd+ccJooBtUBwrNOiN3n7V5U2NQ61quzLmnzXCZksBZxf9Ti14HB2xePNqRofL7gsVAPKfpyXOy064k+Gt78lo/AjwVI1ZLTg8+miyzvTNabLch3sT0lH50ibyc5mk96Edkei/UgwVw64uubzUf1LX66F7G42GU7rvNxlc7DVZGfGpDOh3dFVEkiTfttrdzh6UxX5sBmArUnPPWtrpC2V1piGrihczfuMFXx+OlZmshzwYofF9iaDzrpVWr+HrkJvUqe5bj1abY2ehE7WdlmsBny+4lH2IxarAUc7bEaaDFLm4z39fmDSvVCwUgv5YM7hJ2Nlzq14VHzB9ozBn48kONlt053QSVsquqJwJwvnR4L5SsBvpmv8/XiFyzkfJ4w42GrxFzuSHG236EropE3ljg/MViBraxzvirGr2eRgi8WpRYd/uF7h5xNVzqx6XFy1+cFgnO/0xWi6A2kxXWVns8mOjMHxLovXcz4fzDn87ViZn41XuLrmcy0f8K+2J3ip034on6FRPDDp14sB70xX+d2swycLLgAvdli80m1zottmb4uJdheiyn7EmWWXD+YcPpp3uJzziekKxzpjvNJlc7zTZiRj3PFh2UqsrxIttsahNgVLUyh5EYaqMFcJ+XjBwQkFa07I0Q6bPVnjtqVl40dFoTuhkzBUFGC67BMJwXQ54K2pGqaq4IaCfS0mLbb2pXE8CjwQ6U4g+MOSw/99ucTFnEdcUzneZfE/7k3xSrdN0lDvSng1iJgs+fxiosp/vlqm4Eb0JXW+0xfjz0eS7MkaJE31oRP+RaRMlf2tJi0xlcNtFn8/XuHtmSq/nKhwcdXjX41EdMRTG6b+Tmgy5bWKIp3Hvx+rcCXv4Y4LFmshfz6S5I3+2CP8VDdx36RfL/p8PO/w1nSNpVpId0LnlU6b13ttjrRbNFt3f4pDIfh8xeOfp2v8ftHFCQQ7mw3e6IvxWk+M/a0m6ce49sV0haG0gaUpOKEgpsMH8y5jBZ93Z2v0JzWOdco1ev2h/GIgKGur7G8xMVRQUDYOpD5ddGm2VHQV9mbNL+1eHjbui/QwEpyad/ir80VmyyFdcZ2T3Tb/ekeSvVkTs4F96ZoT8ruZGv/ftTK1QHr43x+I82fbE/Sk9Ds6YI8aqgKdcY0fD8c50mbSbJX4m6tlLqx6/GSsTDUQdMakAwh3PoeTuwybPVmTSzmP//NSiXema7w1VSXnhPzJtgQ/GozzKM3ZpklfqoacXXF5d85hNO/TGtP4Vm+Mb/XG2J017xmCFAIu5uTW5sN5h5wTsb/F5L8fjvNqd4yelBzSE7KlRVcVdFVhJGNwsttmsRpyetnlzLJHTFPoSWgcabPoTOi3ZejcDNeCrSnYmsb+FpPXum2qfrRxjtEZ19jdbDCYNh7Zuf2mST+97PKT0bL80IbCsQ6LP92e4ECL2VCoseJH/Hqqyk9GKyxVQ3pTOm/0x/iLkSQtscfj2DQCRVE42mGTMFRMTeEno2VOLbikTJWSL/jBYPw2r/5O30TCUPl2b4xmS2XNLfHOTI1Tiy57siYRsL3JfCSpXQ2TnncjruY93p6u8eG8S1xX+H5/nG/1xhhpMhoy6Xk34vMVlw/nHS6ueuxsNvheX4zjXfYTTThIEjviGrpiMtNlM18JGc17fDDvoKsKu7MGB1qsu5JmqAr9KYNQwKE26R/MVgJ+PlHFi+TxcucjOMBp6B0EcH7V5ddTNX43W2OuEvD9gTj/YXeafS0Gln5vh8sNBX9YcnlnpsalnI8AjrZb/NlIkm1Nxm3m8EmFArTENE722MR0hb8br/CP16t8rLkc7/RIGyo9SR3rLhNAUaA7KSN7BTfkvTmHNyerKMBw2kBXFJpt7UsJnluJhkhfqYV8sujy1lQVJxR8s0eu4TuaDeLG3QmPhIyjX817vDlV5d1Zh5iu8L3+GK/2xBhu0okbTzrdN6EgI3eqojBXjRgvhjhBxNszNfxI8KOh+D1nq60pHG6zEAKKnmClVuPCqsfPxisUvYhv9cYe6qndXUcXCSh40ox9sujy+YrHq902/8OeFIfbTBINkOWEgmt5jw/nHN6aqnFlzedPtsX5NzuSHGi1iDdgJZ406PVI4clum6IX8eG8w3uzNSp+xJE2syETPZDSaanH7lcdGZH827EyoRAcbDUfJ+mC03WTPF0K6E7oHGy1ONxmMpg2GnoDr27W359zKLgR3QmNg60WR+pHq19n7Gkz8cOIihdwfsVlNO/z0byLrakMNRn3jKUnTZWj7RYFN6TqR3w873Ax53Et75M2ZT7ewzDzd/3Wq4Hg/TmHn41XiWkKr/fEeLnL3hRZRS/k00WXT5dcMpbKkXaLI21ff8IB7MBjp1llb9yjN6Gw4sFvZx0iAT82VQZS9/6Mu5oNkkaC2UrAmRV3Y0uYMlUOtqoPJQnjjqOKBDhBxNU1j3OrHuMFn5PdNid7bPZlzbs6KrfeoxZEjOYDruR9VmohL7RbfLvXZkemMSvxpCG3tsbiwgJz8/MsLCziFNeIfI+5WDfbswcxzAyXcj6GCi91Wg2RbmgKfSmdPVmZH1DyBb9flKTvzBjE9a3f1dxxVH4kZJh0yeVGMSAQMNRkcLzTYqhJb8jTrvgRF3Meny25LFRCbF3hUKvJaz2xR37s+KCIhGBtbY2rV69y9uxZTp85w4ULFynkVjAMk5Fj3+Ton+4knYzx/6+6nFv1mCoHHPAjYvdwdEH6CDubTV7vifHxgsvpZY+MqfJHfXGyDyEoc0fSQyG4lvc5vezhhoKhtMH2Jpk7ZjZ4elD0It6bc3hvroZaP2Pe2WzQ/RXx9CcNnudxY2KC69evMz8/z9z8PBMTk0xPTbG0vEylUiERT9Db28PB7f282J0krsqcuIInGMsHjGZ8htKNxc+3Nxl8pz/OihNxetnlYs7n7IpL3JDFFluZY39H0t16suC5FY+4oXKo1aibmsY9ylUn5L05GUzZl5UzfFuT8bUgHMBxXU6fPs2bv/41ly5dYnZ2jkqlgq7rtLa2Mjw8zO5duziwfx/79+1lW18LXkllKKUxWwm5kvfpXNZosrSGSO+Ia5wwbS7mPP7LDZW5SsCpRZe4ofJSp02z9TBJFzLl6cqaz0Qp4Gi7xckeuQ43+rBFQrBYDZkrhziBYG+LyWs9Nv3Jr5fzViwWyeVyoCj09vbQkm2hr6+Pnp4e+vr66Ovtpbunm56ONjLpON0hHG4zAY9rax6WCvtbzIbWdpCRve1NBkfbTRarITeKAaN5n0OtFlhb97luG40fCVZqEWMFmTG65ob0pTRe6bQYTDc2cDeUhM+WQ9xQkLVVDrWavNhufSlp8UmGrmnE43E6Ojo2SN67Zw/79u6lra2NeDyOrusIIVBV+bmydsDRdpuSJ/jNtDzI+hfVcFPv25+S+QSnlz2mSgHXCzKLCLZubf8C6TBZ8rma91h1QgxFoTOmMZjWSTbgkACUvIhLOY+xgi8zUW2dnsSXs1QfFRRFuWMWahAE5HI5hIDm5gymad72e8Mw2Lt3L4lEAtM0aW1poaenh+7ubjTtJgG33jtlqIxkdMYLOkEE85WQqZKs3GmytIYsZWdc43CbxVwl5KN5h4ypUva2Ns58G+leKLhe9Lm65uGHgraYRntM21QyQ9GTYcNreZ9mS2UobZC1H98MFwjEF4LzjuOwuLjI2Nj4BrktLdnb/sYwDA4dPMjBAweAmw/P3dKYbV2hL6nTl9SIGwo5J2K6FHC9GLC9SaHJuvf3kLFUdmQMPomp5JyI2UpA3t2ctbgXvmTep0synTemK3TEddrimyvTKfqCz1c9rhV8tjfp7Gw27plF8zChoBCGIb7vc+HCBSYnp5iammJyaorZ2VkGBwfIZJq+RDqwYbYbhaUpdMU1epI6zaZKrhYyXw2YKPq0x7WGSDdVhc64RkdMI2UqBJFgoRqyUgvJWFtTK/cl0mcrAXOVkGZLZW9W5pdvBmU/4lq9+vSlDosdzQZp8/F57LVajfmFBarVKm+//TanT5/hwsWLzM/P43keL7/8Mm9897tb9n6aqtARk0UZ8xVZgTtZCtidje59cR26qtAW0+hJaAhgthIyUQrYoW3Nd3kb6RVfMFeRteIDKVnPld3kLPVDQdmPiCJZUjSUflzruYKmaVy4eJG//uv/l5pTY/TaKMVSiWw2y9DQIL09vXzjhRfYtWvXlr5zV4vNrq5m1hSHqq4yF1pElnnvC29BT2uCnV0KK07IkrCYC012b+4WX4nbSC+4EUu1kIIXkbFkReZm12MnFISRwNakmeqO648lkqaZJqqqcv78eS5cuIAQoOsafX19HDp0kBdeeIFjR48yPDxMKpXa0vf2nYhO3aVLd1mqRsytuawW0pBofN+leD6dmosbBSysuVzXTA6lkyQSD/5d6iAL8otexHw1oOBFKIpCV1xnW5OxUQd2L4RCUHQjFqsh1UCgKLJ8KG2qDzUh4FaYprnhha+/ped5eJ4HgGVZ5HI5xsfHCYKQpcVFMk2ZDWdP+nv37ymrdYWMlVrIxZzHXDkg70Z4hsrffWRzrtlAQS6jXwVNkWIJM+WAizmPVSdCQZCLa6y2yLq6UMizkHvBdT00TePggQO88cbNJaxOOqzUJUCcQGBpCh1xjb6kTNpvBFVfMFUOmCkHuJEgYajYdVGBRwXf9/F9/7bXbn0QAAqFAufOnef8+QsPdSy3UrIKTDzgPUaBDzd5falUwjBN/v2/+7dfJl0gifcjOesRAlNVbqnUvDcqgaziWKqF2JpCq60+kpot1/NYXFxkdnaWy5cuc+bsWUDOapAz3XFcIhGhIGdIFIQgtnYb9EUoyEM0W5MZwIXG/bgNqPV7GKrkp3of43BrVXKrudte21jT1/XWpIiPUhf0afzmTiC3FgU3IqFL0pMPOQ3K8zympqa4ePEi77//AZ999hkzs7OA3GfDl2f640LLA15vIMWTNoNiqYRpGGSzzbe9vjHTQyGT9tKmQihUUsbm6qlDIfBCCIRAUxVMVXko6bzVapX5+QVu3LjO2Pg4o6Oj3JiYZHFxkbVcDteV9XSe72MC33jhBV599SSZTAbHcb50ULOVUBQFFZl8slwLuV6U1SyhgDf6Y3yjXWbLehtG5stjWQ9IVX2ZRnV5zePTJZekofKDgfhGLsLNiuyv/jzra/rhw4due10HafLcUEpqrUtpJe9rPygHoGz8s7WoVqvcuHGDc+fP895773H27OdMz8zgui49PT10dXWhaRrzCws4tRq6pnHo8CH+p//4H0mn01s/oK9A0Yu4nPN5e7rGmQtFwlDwvRNZ/u2uxncJMuXc5x+vVzh1vkgsrvEnr7bwvf74A49PB7mWL9ek6lMoBDFdeaD4rVwqtob1YrHE7Nws4+PjjI2NMzo2yuTkJHNz8/iex8jIdvr7Bzhy+BCZpgy/eftt5hcWiALp0JmGueVbsnshbarEUxZWQgc7glBgJzY3hpSlkkhZmHEV7Ag1phFPPjjhUCc9FIKCF7HmhngRxPUHm6iCO8t5bhb5fJ7x8eucOXuW995/n4sXLzI3N0cQBLS2trJjZIQTJ07w0kvHOPbii6iqyvzCAm/++tcb9/A8j1Kp9MhneqXk4VZq4JQgFNTKJlL6qDGU3IhKycerVMApE6ka1bIF2S2a6bqibGiwGIoiNVnvg7P15VJR7n+mr+XWmJqZZmxsjLGxMUZHx5ianmZxcQGA/fv309/fx8j2EbZv28bwtmH6+/o2nDVNe7LCt4L73/k/rGVSB7klWI+oKYo8jvXug/WNkl1xfzN9aWmJsbFxPv3sMz744AOuXL3K4uISigIdHR3s2bObV0+e5IUXjrBjZAfNzbd7pevbsycJD6JCLR7kibkLdJBep1H3toteRM6NKPubezeFuo64kHvKILqz3sutEEKwvLzMxOQEo6NjjI6OMj5+nenpaVZWVzFNk2PHXmRwoJ+RkRG2bRtmcHCInu5uMpnM/X3iRwSFeii2bvM2S3wk5LIbCEEUCRBbp9MuSUfuyYWQqsk5J6LkRYRC3FVJ4lZoqkJMlxWdXl2U707HjUIIFEWGO+fn5xkdHeXjU6f46OOPGRsbZ3V1FcMw6O7u5sCBA7z26qscOniQ7du3k0hsjSPzKCDqhn39fGqz4YdACCqB3FVpClgaW1bKfEvA5aacQihuCuM2UroEEK9LZrfYGm4oWHUjyl849ArDgIXFJa6PX2d0dJTR0VGu37jB9MwMhUKepnSavXv2MDQ0JGf28DADAwN0dXU2RLgQAsdxyBcKABTzeWq12kPdm98JkWBD2mw9YLXZoFPVF8zWz+6bLJX2mLapE9K7oW7ewdRk5oehSforfiTF8TUFrYEnLKHL+q7OekBgzQlZqwW4QYSlq7iOw+zcHJevXOHDDz/i008/5caNG+QLBWLxOH29Msx58sQJDhw4wPDw0MapWqNQFIVEIk5baysLc7NkW1tJJpOPXLQvEIKSH1ELZPlx3FA2XaRZCWTWTMmLaI9p9KUaj4PcCzrIbI32mNQwT+jSPC9WQ6bKAbauNJRwHzekNHZPUsfSVWpeQK5U4dqNFRYmxxkfG+Pa6CjXb0wwOztLpVKho7OTbxw9yrbhYUZGRhgeGqK/v5/Ojo5NEw6gaRqvv/466XQTpVKRRCLBwQMHN87hHxW8UOYlzFYCgkhga5vPeAkiQcWPZGlzQuYZbpXcqA5SWyVlqnQndLL12uiFaijlRerCeo0gbqi0x3VSpk6xVGF6epVPRif4/Pcfcv7zs0xMTlIqV0ilUgwODnLs2Iu8cvw4+/ftY2Bg4IFnpKZpvPzSS7z80ksPdJ8HRTWQ3SQmiiGhkCHmzcae3FCQdyMiAT0JnYGUvrXmfR1SglunM66Tc2RZ0rYmg+2bqD2LGRopS8NZW+SDc29zdf4M83Pz1PyAwcEh+tb32Nu317NXeujo6HhgwtcdxPv9/Vai4skKoYmSz0iTwVBa37RS1pobcXnNxwsFL3ZY7MgYW2ve1xHTFIbS8qkquBEXV32OdWwuBGnpCp1JHdsvc/HcGeITn5FpamJo+3aOHz/OsWPH2Ld3L11dXVvyAdZxL0If5bq+6oRMFAOWqiEvdVqMZAwyDSajSEgVzvGCT8qUy+b2zL1LnxvFbaQbmkJvUqcvqTNTdria91iubY70JkPhUItJcbCD8b0v0zQwwH93cIiT+0fo7eunraub9ra2LRn8rXgSZnoQCdacaKMliZQC19meNkibjS2RkYC8E7FS71rRYksFq62sAbyddFVWWAw36Xy0ILMwl2tSXsNucMuRNhSOtOjUtnVTqr1OWo/41rd38Z3trVsy4K/COqFBEBCG4QbJmqah6/ojmekVX3Cj5DNZkrr0SUMul/0pY6NVyL2Qd6Ww8nw1wtxoGrS1RZ+3kW5pCjsyBjknJGup3Cj6zFVDpkohA2mlobr0lKGwp1lnsZTgl8k2coFgNorjsqXlWHdEEAS8884/87t332VtbY10Os0rx4/zve+9gW0/fBHeWii4XgiYKYcYqkKLLU1zR1xrWBdvvhry/rzDeMGnI64xnN66rdo6vjDTpXnfmZFi/JdyHvOVgHOrHnp9vb/X2GO6wkBSoy9toJpxFhyfc0s1dqZVdjSbZDe1tm0OYRTx8alT/B9/9VeUCnmsWJwg8PnmN197JKTnXdmJYroc0GLLSpWuROOEA0yVAj6cd5ivhAymDXY231uQcbO4IwNtMY3dWVmTPl0K+OVEhcs5r+HzY0NTaI/r9KZ0EobG5TWfD+cdlqrBvS9+EAhBGAa4rsx+9TyPIHi4uXDrCCOYKAZ8VNeP3dZkcLzLpn0TxSK1QJaVnV6WWbA7m3T2ZA0SW5xCfse7JU2V/S0Wh9ssir4UF7iY83CCxrP7spbKwRaDkbTKXDngo3nZKeFhQlEUTNMilUoCkEqlsCzroa/nbr2/3LW8z8WcR96N2NUse8w0esZR8iJG8x7j+YDlWijbn2RNdmaMRzPTLU1hf4vJiS6bjKkyXZZ10hPFAC9s7Bw7a6v8UX+M7w/EQYHPVzzOrnibusfXBQV3XT3Cw48EHXGNvVmT3c3mHRsC3AnX8j4/G69wcc1jIKVztN1if4tJf+ruYoT3gzuOSFNkcfw32mW3IV2Ra81nSx43igGNcJYyVY532XyzJ0bWUlmqhZxddvn9gsNM+SGb+UeM2UrARwtSILnN1tiXNTf25o2cvnqh4OyKyy8nq8yWAw62mBzvshhqkiLBW22n7qg0oCoy+NKb0jncZjFZClishvx0vEyIYCito93j6VOQjmF3QmN7xuB60efMskcgpDDucNPXU2Hqiyi4EedXPd6ZrlHwIo53yge9K9GYWV91Qi6teny84HJlzWc4bfBCu8WBVvOh9XS7q+3JWCpH2kxOdtkI4P05h98vuJuaqWlL5UCLyZ6syYoT8t5sjdPLLvOV8InQdH8QrDohF1Y9zix7XM37RAKOdco2Jo0UfoYCrq75/PNMjbPLLmVf0BrTONBqsr3JeGjlYHfVFNFVhYOtFgqyV8vlNdkr7RcTVb7ZY3Og9ebO+6tkxpK6yitdNpGAhUrIhXrbzbaYxuu9NruazXve40nFWMHnJ2NlPl5wSRmyXdeBFoPhtN5QVK3ohfxhyeXnE9WNpWFHk85wWn+o/V3uSvq63PUL7RaHWl3OLEtFwzenaugKdCc0WmP6xt/eCZamsDdrogAXclLWZLTg84sbFZKGQn/qZlXrVhG+njTxsBYsRO4AAAx0SURBVJInBDJf4A9LLm9N1VhzZaOCV7psqeR8D8IjATkn3ChkOL/qYWsKL7SbHG6zHrrOXkPqQWlTztaSH/G7WYdTCw5+JIgbCi93SuWp9W3RF2erTNCQOuc/GIgT0xTemq7x4YJL2lJptlWOtFl0b4FsqMycqZHP5wEoFfJUa9UtJ//CilS0/qfJKteLPiMZgx8Nxnmtx6algdJuLxL8dqbGP96ocmrBwdYUTnbb/JudKY52WFu+L/8iGvqmdVXhQKuJriqsuRFX1jwurHr806RKIOTav95d8Kue8YwlH5yErnK93qX49LJHq11DRaHZevB0IEVRyGSaGRgYYHZ2lvb2dlqyWZRNyoh8FYSQZcgfzjv8dEz2WksaKodaTL7Za3Ow9d4HzaEQTBYDfjvr8IsbVQSC/S0mb/TH+f5AvCGJkgdFw9OrxdbY2wI/HIyjq/DJosu7szWqfkTWkgJ3t87WL854VZEnfXuyBm/0xwiE4Nqaz68ma2h1nZVd2QfzWHVd5403vktvbw+VSoVYLMbOHTuIbdER7JU1j99M1/jVRJUrax5tt/Sv+WJbzq/C2WWPt2dqfLzgUPRCTnTb/MWOFCe77UfWnaph0hVFEn+iyyZjqQgB1wsBl9Z8fjfrIITC8S5lY6vyVdR1JXRe67bRVfhpWOGTRZfTSy5DKR0vEuzN3p/W+bqe28EDBzYUob74+wc5mSt7siHfP16XMzxhqHyj3eLHwwkOtVl3PYQR9eLQ+UrAe3M1fjNdI+eEbM8YvN4T4wcDcfpT+iNrVrTphbQ1pnGgxaQylMDSFNlMdrLGtTWfxWrAK102+1vNrwwFqgqMZGQQIYik9tqNYsD/dUk29PvxcJzDT5g0+NU1b8Ok/37RZSCl8/2BGCe6YhxslX3V7ra9yrshny65stHBdI3JUsDhNpPv9Mkuk52JxjTmtgr39c3KvqRyxmtqhb++XGKxGmKoUnPG1BR2Nn+1DmxMV9iRMYmEzNb5u7EKv52p4YQRSUO2pXyxY/3LaOxEaqszZ4JIEEQwVwn47Yzs335+1UNV4GCryY+HE+xvMcncZT/uhoK8I6VI/uv1Ku/PO8xXArK2yolumz/dnqQ7oT8yeZZ13Pd0arZkd8GcE7FcCzm95HJq0eV6MWA0H/Baj+zGeLf20cNpA0OV3qyhwlgh4O+vV/hkyeWlDpcT3Tav98Qacm62OnNmoRryznSN3806nF52WaiG9CU1fjSU2DhfuBvhABNFWWr82xmHc6vyNPKVbptv98oZfi8L8bDwQDY0baocaTdxwgRxXeFXkzWuFwIqQZU1NyRpKLzUpZDQlY2mdrd+RlNT2NZk8u1e+fOvJ2v8drbGH5Y8FqtS5Wr94bJ1FVNVvrJSRFEUhBDUajVqtRpRFKGqKrZtE4/HGya85EcsVkLOrXr8cqLKOzM1Kr6gK6HxUqfNv9yWYG/W/Ep9vSCSOe9L1ZBTCw6/mKhyasFFVxX2tZh8rz/On2yL0xa7d27Cw4IiHnAT60eC5ZoMC55Z9vh0yeHjeRcvEhxokYcNh9vkMez2r+jfVgsEC1XZO/3zFY+PFhw+W3SxNIUj7SYHWiwOtprszpqMNH116lMQBPz8F7/gV2++yerqKpmmDN/+1rf44z/+MbHYvcU7ZsoBn6+4/HbG4bMll+lygKooHG2X0uUH68ejzZbGnYpja4FswHN2RR66XMrJAJWty1Yor/fE+EaHxbYmveFysYeBB/aW1oMqXYkYu7MGfSmNsh/xhyWPPyx7TJelVOaKE1ILIkYyBjFd3dC3UZSbzWwH0wYHW03aYxplT6YAvzfrMF6QKpY5J8IPpSK1qSkbEl7riKKIM2fO8Dd/859xqhVU3SCZTPDDH/7gS6QLZM/YdXmu+WrIZ4suHy04/GaqxkQxoC+l82KHxR8PJ3ijP/altKX1e/iRrAi6lvd5f67GqQWXz5ZcSr6gP6VzrEP2nzvZbW95mPR+sGUusgK02TovdtiYqsLhNpeP512uF33emrop9n+4Vc7+Xc0m3UlZD3/rPToTOt/slU7iB/MO70zXmC4HLFYrfLLksG/W5HCbydF2m93Nxm2dG01VFlKuW4KbIr53GLAQsotiwef8imzB8fmKx0I1RFfghXaL7/TFeL03xq7mO+ech5FgqiTTyT6ad/h8xePqmk/Jlw7pix0Wf9QvO0yOZIwngnDYQtJB7kX7kjodMU3Kgxoq788pnF72uF4IWHMi5ishy05EzonYnpHtPZKmXK9NTc7cobTM0WuPa/ih4KMF2YL6cs5nqRYyVwkoeYKSF7GtSaczIYsJip5AqAbxeJxapbwh271+auALcIMIJ4iYq4Rcrnev+GTRYawQsOqEJHSVA20mJ7tj/HAwzoFWGRC6dVYHkaBal1C7lJM9696fc5gqBfiRoD2mcbDV5ES3zY8G44w0P351q1vxUDbDpibN9b8YkmHVizmfa3mfG0WfpWrILyeqvDVVoyOusS2ts7fFZF/WZKhJp6tes6WritzDxjW+m5NLxWjeZ6Guavmz6xV+M11jpElnZ9bkSH+GWM1l1bk9J05TYP2Q71LO59Kqy7l6D7XJckgtEMTrTYX2t0i/YSit05eS9WPrWH9QJooyLerKmpQ3n6qHmdtjGkfa4uzOmgym5APbVc8TfNLw0EaUMFRGMiojGYMDLSFX8x6fLrp8Vm9DPV6UZT+TRU3q0boRC1WDnmRAR1wjY2kkDYXepIatWdiaQtZSubymcCnnc25V5qKNFzTGiwGLIk5b4DBduhnrV4BVJ+Lcqosi4NM5h9OLDp8uOdwoBlR8QZMlO0/szsrDkv0tJpauyFp9L6IaCPJuyEI1ZLoUMF70uZTzuZzzmK2EOKFge0ZmGb3abfNyp03rE94s+JE8hq0xFUMz6UrovNhpM1H0mSwFzJZlMUUlkNG7N6dqhELQZKp0JXQylkJCV7E0uVaHEWRMjV3NkNBVVp2QCEEtFHw07xIWK6zlZCZsWgVNlYkf46fWULNxqqUybhCioGyUCWVtjZ6EjqUqXM3LvjWrTshKTRJe8iLmq6GsWBFS6DhhqOzJmpzsVmmPaww3GexuNulP6g+lpdZW45GQrquyUqPF1tiRMXipw9qoir205nFtzWes4DNdluu1piq0xwLsuvpC2pT65xlLI6mrxDWV3iSkTIW8G7HiRMyUfXI5D70aYiOVGwQKE6WAK1M1qNSIBy5ZU6Znt8VUWm3ZSclSFfJexOJyQMmPWFjfKUQCr66bWwkE7TGVbWlZkLgva7Kz2WRbkyxmiH2NesY+lgXHrMuCx3WFgbTOia6IvCtrwCZLARVflugW/YjVWkjejZgth0yWpGetAIGQZwReKHBCEAbENTYSwEIBCoIWS8XOGERpA6esIYjIu7JUa7kmK1HWfeogkrGBhCG7IrbYKpl6v1NLk606BtM6rbbs0tBkSv3bJ8UrbxSPzcswNdlk7tb1zw2ls5R3I4r1U62ZurL0dDncqNeWc/jmVkxVFIyERWDZzCQ0ZqOIagB2GNGX1DjYF0NtibOc86j5oRTvEXXhpg0lLHmzpK7Qk9TpS2n01su2m0yFdL1+/1GIHD9sPFGupaWpdCcUWu265k2ToOoLKkEkZc7Cm0JlSv0fBbkfTzfZ5JYD/p934VKhQAS4hQL9dsBf7kjS0WeQW2vCDyMiUZcBqt/s1iNJQ1WI6woJQyGuq8R0uZXcrCr2k4wninSQZvS+zWU8wbUdvZzbt4/Z2Tna29s4sr2Pl7vj6CbQ8WTtlx8XHvjs/cmC4Mb4OKPjN6jWati2xdDAADt3jID65HvVjwpPDelPgijB1wVff6/kOTaNp2amP0fjeD7Tn0E8J/0ZxFND+r1Wqeer2E08cfv0+8V6jtxaPk8hnycIAjRNI93URLa5edPNcp9mPDWkg8yR+9U//Yqf/cM/sLS8TLa5mR/+8Af85b/+y6+VbPjDxlNFehRFXL5ymf/6858TeC4oKn39ffxZ4N/74mcIT5fNUxR0Xd+QDzMtC0N/OhQvthJPFekKoGn6htS3bduPTC3y64SnivTnaAxPHelRFBEEMk/ODwKiKHq+XfsCnirShRC4rkupVAKgVi7hOM5jHtWTh6fKe1dVlYGBfo6//DLzCwu0trYyPDyMpj0Pq96KpyrgIoRgZmaGubk5XNfDMA06Ozvp7+t7TvwteGpIfx5PbxxPDenP0TieKkfuORrDc9KfQTwn/RnEc9KfQTwn/RnEfwN18yfZGbbOfAAAAABJRU5ErkJggg==)
physics-General
chemistry-
In the above reaction X is
In the above reaction X is
chemistry-General
chemistry-
In the reaction :
M and R Respectively
In the reaction :
M and R Respectively
chemistry-General
physics-
A long straight metal rod has a very long hole of radius 'a' drilled parallel to the rod axis as shown in the figure. If the rod carries a current 'i' find the value of magnetic induction on the axis of the hole, where OC=c
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496497/1/966670/Picture512.png)
A long straight metal rod has a very long hole of radius 'a' drilled parallel to the rod axis as shown in the figure. If the rod carries a current 'i' find the value of magnetic induction on the axis of the hole, where OC=c
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496497/1/966670/Picture512.png)
physics-General
physics-
Two large conducting current planes perpendicular to x–axis are placed at (d, 0) and (2d, 0) as shown in figure. Current per unit width in both the planes is same and current is flowing in the outward direction. The variation of magnetic induction as function of 'x'
is best represented by–
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496487/1/966669/Picture500.png)
Two large conducting current planes perpendicular to x–axis are placed at (d, 0) and (2d, 0) as shown in figure. Current per unit width in both the planes is same and current is flowing in the outward direction. The variation of magnetic induction as function of 'x'
is best represented by–
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496487/1/966669/Picture500.png)
physics-General
physics-
A long straight wire, carrying current I, is bent at its midpoint to form an angle of
. Magnetic field at point P, distance R from point of bending is equal to
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496460/1/966666/Picture462.png)
A long straight wire, carrying current I, is bent at its midpoint to form an angle of
. Magnetic field at point P, distance R from point of bending is equal to
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/496460/1/966666/Picture462.png)
physics-General