Physics-
General
Easy
Question
A part of a long wire carrying a current
is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is
![](data:image/png;base64,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)
The correct answer is: ![fraction numerator mu subscript 0 end subscript i over denominator 2 pi r end fraction open parentheses pi plus 1 close parentheses](data:image/png;base64,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)
The magnitude of the magnetic field at point
due to straight part of wire is
![B subscript 1 end subscript equals fraction numerator mu subscript 0 end subscript i over denominator 2 pi r end fraction](data:image/png;base64,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)
is perpendicular to the plane of the page, directed upwards (right hand plam rule 1).
The field at the centre
due to the current loop of radius
is
![B subscript 2 end subscript equals fraction numerator mu subscript 0 end subscript i over denominator 2 r end fraction](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/903814/1/900445/Picture2770.png)
is also perpendicular to the page, directed upwards (right hand screw rule).
![B subscript 1 end subscript plus B subscript 2 end subscript equals fraction numerator mu subscript 0 end subscript i over denominator 2 r end fraction open parentheses fraction numerator 1 over denominator pi end fraction plus 1 close parentheses](data:image/png;base64,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)
![equals fraction numerator mu subscript 0 end subscript i over denominator 2 pi r end fraction open parentheses pi plus 1 close parentheses](data:image/png;base64,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)
Related Questions to study
physics-
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
physics-General
physics
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
physicsGeneral
physics
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
physicsGeneral
Maths-
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
physics
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
physicsGeneral
physics-
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
physics-General
physics-
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = ![2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent right parenthesis](data:image/png;base64,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)
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = ![2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent right parenthesis](data:image/png;base64,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)
physics-General
physics-
The relation between
and
for a elastic material is
The relation between
and
for a elastic material is
physics-General
Maths-
If
is defined by
then ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
is defined by
then ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
physics-
Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is
![](data:image/png;base64,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)
Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is
![](data:image/png;base64,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)
physics-General
physics-
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is
![](data:image/png;base64,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)
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is
![](data:image/png;base64,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)
physics-General
physics-
A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is
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)
A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is
![](data:image/png;base64,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)
physics-General
physics-
In the figure shown, the magnetic field induction at the point
will be
![](data:image/png;base64,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)
In the figure shown, the magnetic field induction at the point
will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAACVCAYAAABM3IbUAAAQ9ElEQVR4nO3da0xT5x8H8G8BtS7VdBeyYkRK/llhyczKZFudmB70BWVxQs0u8maW6HQkTmBj0cYlziwRGCawZMTqYsDEhC67AM2ylhjXmhGpE2PNsnDAzdY44ciMVmDmxMue/wtGJ0KVQttzSn+fhGSWFr4Mvj3Pec7lUTDGGAghspIidQBCyFRUTEJkiIpJiAxRMQmRISpmAjp+/Dg8Ho/UMUgMUTEJkSEFHS4hRH7SpA5AZs7hcODKlSsAgC1btkClUkmciMQKDWUTzMmTJ7Fz504q5TxHxUwgGzduxFNPPYWtW7dKHYXEGBUzwRw9ehQcx0kdg8QYFTOBDAwMAABeeeUViZOQWKNiJpATJ07gueeeg06nkzoKiTEqZgI5efIkSkpKpI5B4oCOYyYQhUKBzs5OLF26lPYz5znaYiaIc+fOAUDoOCaZ32iLmSDGxsZw7NgxGAwGrFq1Suo4JMaomITIEA1lCZEhKiYhMkTFJESGqJiEyBAVkxAZomISIkNUTEJkiIo5T/A8D5vNBp7npY5CooBuLZKgBEGAy+VCV1cXTp48ib/++gsA8MYbb8DhcEicjswVFTNBiKIIj8eDrq4unDhxAr/99hsAIDU1Fffv3w8978MPP5QqIokiKqaMeb1euFwuOJ1O/PLLL9M+Z6KUKSkp2LhxY0JddWK326FWq2EymaSOIjsJc66sIAj45JNPcO/evUmPq1QqPPPMMxKliq579+7B6/Xi6tWruHTpEu7cuRPR64uKiqDRaGKULvq+++47qFQqFBUVSR0lptLT09HQ0BDRa2RZTJ/PB4/Hg/7+fvA8D57nIQiC1LEImRWVSoXR0dGIXiOLYk4U8dSpU/B4PAgGgwAApVIJg8EAjUaDnJwcAIBWq4VWqw29Vq/XQ61WS5I7Fnieh9frxalTp/Djjz9ieHgYAJCWljZltPCwtrY2bN68OR4xoyI7OxtarRZut1vqKLIjWTEDgQBaW1vx9ddfh6b4c3NzwXEcjEYjOI5LqGFZrPA8H3rT+umnn0JFXbBgAe7evRt6XmpqKrKzs/Hrr79CqVRKFTciVMxHYHHW3t7ODAYDA8AAML1ezw4dOsSGhobiHSUh+f1+1tLSwt5//322YsWK0P/HiQ+LxSJ1xBkzGAzMZDJJHUOW4rbFtNvtqK+vh8/ng1arxZYtW2CxWCYNS0nkAoFAaOh74sQJVFZW4oMPPpA61oxMzBvQyGiqmBeztbUV+/fvRyAQgF6vx+7duxNqP4gQKcTsOCbP86ioqIDH40Fubi7a29tRWloaq29HyLwS9XNlRVGE1WrF888/D5/Ph9raWvT19VEpyRRNTU1oamqSOoYsRXUoKwgCiouL4fP5sHnzZjQ2NtL+AwmLZmXDi9pQ1uv1wmw2QxRFGrYSMkdRGcrabDYUFhZCqVSip6eHSknIHM25mBUVFaioqIDBYMD58+eRm5sbjVyEJLVZFzMYDKKwsBA2mw1VVVVwu93z6tQ4EnsajYbmIMKY1eQPz/MoLi6GIAg4dOgQLBZLLLIRkrQiLmYwGEReXh6CwSCcTicMBkOsshGStCKalRVFEWazGYIgwO12UykJiZGI9jGrq6vh8XjQ0tJCpSRzVl5eDqvVKnUMWZrxFrOpqQk2mw179uyhc11JVHg8HrqIIYwZbTFdLheqq6tRWlqK2traWGciJOk9tpg+nw9msxl6vR5tbW3xyERI0ntkMQVBgNlshlqtRnt7e8JcGU9IonvkPmZ1dXVoBpb2BUi0cRyHrKwsqWPIUtjjmB6PB4WFhaiqqkJjY2O8cxGS1KYtpiiKoZMI/H4/DWEJibNph7JNTU3geZ72KwmRyJQtpiiKyM7Ohl6vh9PplCoXSQKrV6+GVqul2f5pTNli2mw2CIJAxytJzAmCQCOyMCYdLhFFEfX19SgtLYVer5cqEyFJb1Ixm5qaIAgC9u3bJ1UeQggeKuYXX3wBk8lEW0tCJBbax3S5XBAEAVu2bJEyD0kilZWVUkeQrdCsbFlZGVwuF4aGhmiHnBCJpQDjdyXo6OhAaWkplZIQGUgBgI6ODoiiSMNYElc8zyMQCEgdQ5bSAODUqVNQq9XgOE7qPCSJlJeXQ61W04ks00gBxk9Yp1KSeBMEAaIoSh1DllICgQACgQBKSkqkzkII+VdaR0cHANAWkySk48eP4/vvvwcA5Ofno7y8HBkZGRKnmruUM2fOQK1W04XQJOFs27YNt27dwt69e2GxWLB3714sW7YMAwMDUkebM4Ver2cTiwEREk92ux1qtRomkyni13o8HixZsgSrVq0KPXbu3Dnk5+ejpqYGDQ0N0Ywadyk8z8+bhYB4nsdbb72F9evXY+XKlXjhhRcwMVQn8iGKIkpLS3H06FFYrVbodDp88803EX2NnJycSaUEMOXfAHDgwAFs2rQJ27ZtAwCMjY3hwIEDaG5unv0PEAdpoigiJydH6hxz9sMPP+Dq1av49ttvJz1uNptpvU4Z8fv9cLlc6OzsnPT422+/jSNHjuC9996b0deZbj9ybGwMACbd9/jNN9/EzZs3cfPmTYyNjaG3txdOpxPFxcVz+CliTwGAzYc/3I8//hgHDx6E0WjEa6+9hlu3bmFoaAinT59GZmYmzp49K3VEAmD79u346quvYDQasWbNGoyMjEAQBHR3d0MQhDm9iTocDrS2toYmgyasXbsWO3bswPLly8FxHIaGhrBkyRKoVKpo/EgxkQJAtsvnORwObNq0CQqFAgqFAjqdDs3NzaF3xgf9+eefAICCggJUV1djx44deOedd7BixQr09fXB6/XGOz6ZxvXr1wGM/54++ugj7NixA2VlZaHJx9n+LY6NjaGhoWHKEHVsbAzd3d0AEBoZZmRkyLqUwL/FlNuM7MDAAHQ6HRoaGrBr1y4wxsAYw5EjR7Bz585phyE3btwAAIyOjmJ4eBjXr1/HyMgI7t69i9u3b8vuZ0xWD/6erl27hhs3boR+T6mpqbM+bLd//3589tlnU4a4vb29of9OpMMoUVnqPZocDgdycnJQUlKCn3/+edIviuM4fPnll+ju7obD4Zj0uj/++AMAMDw8jN9//x2XL19GIBDAyMgIdDodLZAqE36/HwBw7do19Pf3w+/34/LlyxgZGUFmZuasvmZzczPWrl07balPnz4NAAm5q8Zu3rzJ5KC/v58BYGazOexzent7GQC2devWSY9//vnn7Nlnn2XLly9na9asYfn5+ex///sfW7RoEdu7d2+so5MZstvtLD09PfR7evnll1lOTg5bvHgxu3DhQsRfr7Ozk3V2dk56rLe3l/X29jLGGCsoKGA1NTVRyR5PACB1hpCCggIGgA0ODoZ9TrhiMsbY2bNn2dNPP81SU1MZAPbkk0+y3bt3M7fbHcvYJEKBQIClp6ezBQsWMAAMAHv33Xcj/jqdnZ2hN/IHPwCw0dFRNjo6ygBMKW4iSAPGjytJfR2mw+FAd3c3ampqHrkv0NfXBwDIy8ub8rn8/PzQ5EJHRwddMSNTWVlZGB4ehtfrxd9//40rV65EPAfQ3NyMnTt3AgDa29snfa6goAAqlQoejwcAsG7duugEjyMFAOb3+yWfHNm2bRuOHj0Kt9v9yDLpdDpcvHgRg4ODCbUzT6JrYGAAo6Oj035u2bJlyMjIwNDQEAYHB6c98UDuIlrqPZYmZuvy8/PDPsfhcODixYswm81UyiSn0+ke+5yMjIyE/TtJASCrq8jDHV8aGxsLXZom99OpyMzY7Xa4XC6pY8hS6J4/UpvYUj58GAQYL+XEsUu3252w74JkMqvVivr6eqljyFIKMH7yt9R27doFACgpKcG5c+cAjBfS4XDgpZdeCh33oskckgxS1Go1Lly4IHUOqFQqDA4OoqamBvn5+VAoFFiyZAkcDgcOHjwYOhuIkGSgMBgMTBRFnD9/XuosJMlkZ2dDq9XC7XZLHUV2UnJzc2UxlCXJR6PRSH78XK5SjEYjRFGEz+eTOgtJMu3t7WhpaZE6hiylTEymTJwlQUi8aDQaurggDAVjjOXl5UGtVtNYnxCZSAHGL6fyer10810SV59++inq6uqkjiFLKQBQVFQEURTpxlUkro4dO4auri6pY8hSaIup0Whw7NgxqfMQQvBvMZVKJSwWC1wul6zOmyUkWYVuLTKxBN/hw4clC0MIGRcqZm5uLjiOQ2trK00CkbigwyXhTboZV2VlJQRBgM1mkyoPSSI9PT1oa2uTOoYsKRgbv/HPhLy8PAiCAL/fT6dLESKRKbev3LdvH201CZHYlC0m8N9Ws6+vT7Z3aSeJr7y8HBqNBrW1tVJHkZ1pb/h86NAhCIIAq9Ua7zwkiXg8Hlq6Ioxpi2kwGGCxWGCz2eiqE0IkEHaJhNraWmg0GpSXl8czDyEEjyjmxNjf5/PRkJaQOHvkfWUtFgu6urpQV1eHF198cdKCoITMFcdxyMrKkjqGLE07K/sgURRRXFwMr9cLt9sNg8EQr2yEJK3HFhMYv+9sXl4eRFFET0+P5MspEDLfzWh9TLVaDafTCVEUYTab6VxaEhWiKNLfUhgzXrg2NzcXbW1t8Pl8KCsri2UmkiQKCwtp1j+MiFaUNplMaGxsREdHB6qrq2OViSQJQRAgCILUMWQp4tW+qqqq0N/fj6amJiiVSjqdipAYmNUyfI2NjRBFEXV1dQgEAmhpaaErUQiJooiGshOUSiVaWlrQ2NgIu92O1atX05CEkCia08K1VVVV0Gq1KCsrQ15eHpxOJ/R6fbSykXmusrJS6giyNaPjmI/j8/lgNpshCALa2tpQWloajWyEJK1ZDWUfptfr0dPTA71eD7PZTDfxJWSOolJMYPykd7fbjc2bN8NqtaKwsJBWESOPxPM83S41jKgMZR9WV1eH+vp6iKKIqqoq7Nu3j2ZtyRSrV68OnVVGJovaFvNBe/bsQV9fHziOQ11dHfLy8mj5BTKFIAh0Sl4YMSkmMD60dTqdoXdDs9lMBSVkhmJWzAkmkwl9fX1ob28H8F9BbTYbgsFgrL/9vCGKIjZs2IDq6mp0dHTQceP5jsVZe3s70+v1DABTKpXMYrEwp9MZ7xgJ5/z58wzApI+VK1eyPXv2MLfbLXW8WdFqtYzjOKljyFJMJn9mwuv14vDhw7Db7RBFEVqtFiaTCUVFRTCZTDRZNI2KigocOXIE//zzz5TPLVy4EK+//jqMRiM4jkuIEz3sdjvUajVMJpPUUWRHsmJOCAaDsNvt6OrqgsvlCk0GcBwHo9EIrVYLrVaLiSXpk5kgCMjKysKdO3ce+1yVSoUNGzagqKgIHMfRxe0JRvJiPszlcqGrqws+ny/sKteLFy/GokWLAABarTbuN6W+evUq/H5/zL9PWlralJHD7du3Z1TMhy1atAiZmZlYvnx5tOKRCLS1tUW0gNKczpWNBZPJNGloIwgCeJ6Hz+dDMBjEmTNn0Nvbi3v37gHAtMO6WHviiSfiMtRWqVRTfpmXLl2acTEVCgUm3nfv378f9XxkZmbztyK7LSYJTxAErFixAnfv3p328wsXLgyVNj09HevXr4fRaITBYEiIfU7yH9ltMUl427dvn1TKtLS00Mhh6dKlWLduXUJN/pDwaIuZIDweDwoLC0P/zszMxPr16/Hqq6+C4zjk5uZKmI5EGxUzgVitVuTk5NAsaxKgYhIiQzE/JY8QEjkqJiEyRMUkRIaomITIEBWTEBmiYhIiQ1RMQmSIikmIDFExCZEhKiYhMkTFJESGqJiEyBAVkxAZomISIkNUTEJkiIpJiAxRMQmRof8DpxV/MmQmou0AAAAASUVORK5CYII=)
physics-General
physics-
PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes
![](data:image/png;base64,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)
PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes
![](data:image/png;base64,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)
physics-General
physics-
Current through ABC and A’ B’ C’ is I. What is the magnetic field at P?
(Here C’ B’ PBC are collinear)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAAE3CAYAAACjJFQ3AAARFklEQVR4nO3db2iV9f/H8dd1zs6fKbOC/rls0dkgCSr9ChKxMGfsaClJWrqKkIK+zJshSrSgGwvbCLpX/bphEr/YIMpN1O0MlNgO48uILFAi2DnIGGYKWc525jk75/xu+DsnP27u2/RcXvtcez5g4M7ZOb5De/q5Ptd1znGKxWJRAPD/Al4PAGBhIQoADEQBgIEoADAQBQAGogDAQBQAGIgCAANRAGAgCgAMRAGAgShYLplMynEcOY6jdDrt9TjwAaJgufb2dsXjcUnS2bNnPZ4GfkAULJZMJpVIJNTW1iZJGh4e9ngi+AFRsFhpldDY2Kj6+nqdOXPG65HgA1VeD4Cb093drUQioaGhIUlSQ0MDewqoCFYKlmprayuvEiSpqalJo6OjHk8FP2ClYKHu7m6lUikdPHiwfFtdXZ1SqZSHU8EvWClY6PpVgiStWLFC0tXNR+BWsFKwTGmVkEql5DjOjPvHx8c9mAp+wkrBMi0tLWptbVWxWJzxJUljY2MeTwjbEQWLdHZ2SpL27Nkz6/2clkQlEAVLpNNp7du3T62trYrFYrP+THNzswYGBm7zZPAbh899AHAtVgoADEQBgIEoADAQBQAGogDAQBQs9f7773s9AnyKU5KWchxH/NHBDawULEUU4BaiAMBAFAAYiIKlOHyAW4gCAANRsBQrBbiFKAAwEAWLsVKAG4iCpWZ7f0agEogCAANRsBQbjXALUQBgIAoWY6UANxAFS7HRCLcQBQAGomApNhrhFqIAwEAULMZKAW4gCpZioxFuIQoWY6UANxAFS7FSgFuIAgADUbAYhw9wA1GwFIcPcAtRsBgrBbiBKFiKlQLcQhQAGIiCxTh8gBuIgqU4fIBbiILFWCnADUTBUqwU4BaisABs3Ljxph7HSgFucIr8zfLczbxhyrJlyzQ+Pq5ly5a5NBUWK1YKHkun0zf1OA4f4Bai4LGRkZGbfiyLPLiBKHhscHDwph6Xy+XU1dVV4WkAouC5dDqteDw+r8dcunRJ09PTGhgY0KVLl1yaDIsVUfBYIpFQU1PTvB5z+PBhOY6jYDCovr4+lybDYkUUPFTaZKyrq/vHj8lms+rv71exWFQul9Phw4eVzWbdGhGLEFHwUGmTce3atf/4MceOHVMoFJJ0daOxUCjo2LFjrsyHxYkoeKi0yRiLxf7xY3p7e3X58mU5jqNwOKzp6Wn19PS4NSIWIaLgofluMvb19SkQ+PuPLJ/PS5KmpqbYW0DFEAUPJRKJea0SDh06NOvZhnw+r2+++aaSo2ERq/J6gMVsPhcfHT9+XLlc7ob3ZzIZHT9+XBs2bKjEaFjEWClYoq+vT1NTUwqFQqqqutryQqGgqqoqhUIh5fN5HT161OMp4QesFCzx9ttv66effpIkTU9P69tvv5UkvfLKK+VIPPHEE57NB/8gCpaora1VbW2tJJWvSwgEAorH4wqHw16OBp/h8MFivCAKbiAKAAxEwVK8nwLcQhQAGIgCAANRAGAgCgAMRMFSjz32mCKRiNdjwIeIgqXq6+u9HgE+RRQAGIgCAANRAGAgCgAMRAGAgSgAMBAFAAaiAMBAFAAYiAIAA1EAYCAKAAxEAYCBKAAwEAUABqIAwEAUABiIAgADUQBgIAoADEQBgIEoADAQBQAGogDAQBQAGIgCAANRAGAgCgAMRAGAgSgAMBAFAAaiAMBAFAAYiAIAA1EAYCAKAAxEAYDBV1FoaGiQ4zjlr927d3s9EmAdX0Shu7tbjuPorbfeUrFYLH99+umn2rhxo9fjAVap8nqAW5VMJtXS0qKuri7t3LnTuC+VSqm+vt6jyQA7Wb9SaG9vVzwenxEESYrFYorH4x5MBdjL6pVCOp1WIpHQ0NDQDX+mv7//Nk4E2M/qlcLIyIgkqbGx0eNJAP+wOgpjY2PsGQAVZnUUAFSe1VGoq6tTKpW64f2lU5UA/jmro1A649Dd3T3r/W1tbero6LidIwHWszoKktTR0aGWlpYZYXAcR83Nzdq7d69HkwF2sj4Ke/fu1dDQkFpaWoxLnIeGhvTJJ594PR5gHauvUyhpbGxUsVj0egzAF6xfKQCoLKIAwEAUABiIAgCD9VE4d+6c9uzZo+HhYa9HAXzB+iicPHlS586d02effaZ33nlHJ0+e9HokwGq+OCUZCASUyWQ0Ojqqjz/+WLFYTC+//LIeffRRr0cDrGP9SuF6mUxGp0+f1ocffqj9+/crnU57PRJglarOzk6vZ7glv/32mwqFgqLRaPm2fD6vTCajH374QadOndKaNWu0c+dO1dbWejgpYAdn+/bt1l8K+Ndff+n3338vf3/fffcpHA6Xvy8WiyoUCjpy5IgkzXjl5LXfz3XfQvnZYDAox3F0/vx5ruRExVXZ/h6GY2Nj+uWXX3TnnXeWb3McR9lsVuFwWNPT01q3bp127typmpoaSZrxP9K1389130L62bvvvluAG5yi5f/U9PX1qaurS5lMpnxbOBxWPp/XmjVr9Nprr2n58uUeTuiO0urB8j8+LEC+OPtwrXA4rEceeUSvvvoqb9UG3ARfRCGfz6u6uloPPPCAWlpa9Pjjj3s9EmAt66OwevVqJZNJbdmyRU8++aTX4wDWs35PYbFiTwFusX6lsFg988wzymazXo8BH2KlAMDgu8ucAdwaogDAQBQslUqlbvh5F8CtYE/BUnfddZf++OMPzj6g4oiCpTglCbdw+ADAQBQAGIgCAANRAGAgCgAMvPbBUh0dHZqamvJ6DPgQpyQBGDh8sMySJUsUjUblOI4CgYAcx5HjOAoGgzpw4IDX48EHiIIlent7FQwGlc1mdeXKFS1dulSO4ygUCikSiahYLOrNN9/UQw895PWosByHD5YIBoMKBAKqrq7WxMSEampqNDExIUlatmyZ8vm8CoWCrly5otWrV+v777/3eGLYiihYwnEcRaNRBQIBTU5O6t5771Uul1NVVZUmJyclSYVCQZlMRoFAQPl83uOJYSsOHyxx7WdZ3H///Tp//rxCoZAuX75s7CuEw+EZHx4DzAenJC1RVVWl6elp/fnnn+VVwOTkpILBoCKRiC5evCjHcZTP57Vq1SqPp4XNOHywSCgU0vT0tEKhkAKBgK5cuVI+pJiamlKhUNDKlSv1888/ez0qLMbhg0VyuZw2b95c3lCUpKmpKU1OTqqmpkaff/45QcAtY6VgKd5PAW5hT8FS136gLlBJRMFSXIcAt3D4AMDARiPgE93d3eVrVq79SiaT5Z9xHEednZ1zPg9RsFjpDAQgSYODg4rH4yoWi+Wvrq4uPf3005KkdDotSXrqqafmfB6iYKn169crGo16PQYWkHQ6raamJuO2FStWlH999uxZSVJjY+Ocz0MULPXdd995PQIWmEQiobq6OuO29vZ2tba2lr+/9tc3wkajpbhOAddKJpPlw4RrdXR0aO/evfN6LlYKgA+Mj4+rvr7e2E8oFos6ceKEdu/ePa/nIgqADwwODqqhoWHG7bt27dLAwMC8nosoAD4wMDAwY5NRksbGxmaNxVy4ohHwgVQqNeNUYzKZ1L59+zQ0NDSv5yIKltqwYQNvpnITMpmMenp6NDo6qvfee8/rcSqidHHSbBuNQ0ND//UU5PU4+4BFYWJiQocOHVJ/f7+i0aiy2az279+vBx980OvRFhxWCvC1ixcvqqenR/39/QqHw8rlcsrlcqqurvZ6tAWLKMCXLly4oJ6eHg0MDKi6ulqFQsH4RK1isajJycnyO2IvBDU1NfN+zP/+z5/64T9//3f968mrV7nOddu/nozqtX/fccPnJAqWWrdunQYHByVpxt7CXN/P52dtfa6VK1dq+fLlKhaLCgQCymQy5fP2JZlMRu+++275NsdxFA6H5aWHH35YH3zwgaczSOwpuCadTpcvJqm0bDar119/XZL05ZdfKhQKle+7/veb63svfvZ2/J69vb0aGBgw3uY+GAyqqurvfwOz2Wz5E7akmZHxQi6X09dff+31GKwU3DIyMnLbfq+5/sVdjN544w3t2LFDR44cUW9vr3K5nPL5vBGJaDSqtrY21dbWejjpwkQUXFJ6GSu8sXTpUu3YsUNbtmzR0aNHdejQIQWDwfK+guM4WrJkyU0dx/sdVzS6ZLaXseL2W7JkiV566SUdOHBAL7zwgsLhsKLRKC8kmwNRcMlsL2OFd6LRqLZv364DBw5o69atqq+v5xqFG+DwwQWlK8zWrl3r8SS4XiQS0bZt27Rt2zavR1mwWCm4YHh4WPX19YrFYl6PAswbUXDBmTNn5v3KNGChIAouuNHLWAEbEIUKS6fTs76MFbAFG40VFovFON0Fq7FSAGBgpVBB179iTfrvr0gDFhpWCgAMrBQq6LV/38GqANZjpQDAQBQAGIgCAANRAGAgCgAMRAGAgSgAMBAFAAaiAMBAFAAYiAIAA1EAYCAKAAxEAYCBKAAwEAUABqIAwEAULHXq1CmvR4BPEQVLnT592usR4FNEAYCBKAAw8G7Olrhw4YJ+/PFHSVI+n5ckFQoFnThxQsFgUJK0atUq3XPPPZ7NCH8gCpbo6OjQr7/+qmAwqGKxKMdxJElfffWVHMdRPp/X8uXL9dFHH3k8KWzH4YMlNm7cKEnKZDKamrr6KVSO42hqakqZTEaStH79es/mg38QBUs8++yzikajN7w/Eono+eefv40Twa+IgkW2bdumSCQy4/ZIJKItW7Z4MBH8iChYZNOmTeVNRUmqrq6WdPUwYuvWrV6NBZ8hChYp/c9fOoy4fPmyqqqqtHnz5vLGI3CriIJlnnvuORUKhfL3rBJQaUTBMpFIpHwmIhQKadOmTbPuM9ys0nNj8XKKxWLR6yEwPxMTE7rjjjv04osv6osvvlBNTU3FnttxHPFXYnFjpWChmpoaBQIBNTc3VzQI6XS6Ys8FexEFSwUCAe3atauizzkyMlLR54OdiIKl3DjbMDg4WPHnhH2IAsrS6bTi8bjXY8BjRMFild4QTCQSampqquhzwj5EwVKVPnwobTLW1dVV9HlhH6IASX9vMq5du9bjSeA1omCpSl9PUNpkjMViFXtO2IkoQBKbjPgbUbBYJVcKiUSCVQIk8XZs1qr0RiOXNqOElQIAA1GwGP+6ww1EwVK8qQrcQhQsxkoBbiAKAAxEwVIcPsAtRMFiHD7ADUTBUqwU4BaiAMBAFCzG4QPcQBQsxeED3EIULMZKAW4gCgAMRMFSHD7ALUTBYhw+wA1EwVKsFOAWomAxVgpwA1EAYCAKluLwAW4hChbj8AFuIAoADETBUhw+wC1EwWIcPsANRAGAgShYqtKfJQmUEAUABqJgKTYa4RaiYDEOH+AGogDAQBQsxUYj3EIUABiIAgADUbAUhw9wC1EAYCAKAAxEwVIcPsAtTpG/WVYaHx/XihUrvB4DPkQUABg4fABgIAoADEQBgIEoWCKZTMpxHDmOo3Q6PeP+zs5OD6aCHxEFS7S3tysej0uSzp49O+P+EydO3O6R4FNEwQLJZFKJREJtbW2SpOHh4Rk/Mzo6ervHgk8RBQuUVgmNjY2qr6/XmTNnvB4JPlbl9QCYW3d3txKJhIaGhiRJDQ0Ns+4psFJApbBSWODa2trKqwRJampqIgBwFSuFBay7u1upVEoHDx4s31ZXV6dUKuXhVPA7VgoL2PWrBEnl1zskk0mvxoLPsVJYoEqrhFQqNevbuY+Pj3swFRYDVgoLVEtLi1pbW1UsFmd8SdLY2JjHE8KviMICVLo6cc+ePbPez2lJuIkoLDDpdFr79u1Ta2urYrHYrD/T3NysgYGB2zwZFgveTwGAgZUCAANRAGAgCgAMRAGAgSgAMBAFAIb/A1HsepcOCa0xAAAAAElFTkSuQmCC)
Current through ABC and A’ B’ C’ is I. What is the magnetic field at P?
(Here C’ B’ PBC are collinear)
![](data:image/png;base64,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)
physics-General