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Global form fields

Integrating factor of the differential equation <img src="data:image/png;base64,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" class="Wirisformula" alt="cos space x fraction numerator d y over denominator d x end fraction plus y sin space x equals 1" width="161" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mi»y«/mi»«mi»sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»1«/mn»«/math»'/> is

Solution for the question - integrating factor of the differential equation cos x(dy)/(dx)+y sin x=1is sin xsec xtan xcos x '/>

Integrating factor of the differential equation cos x(dy)/(dx-Turito

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The 10<img src="data:image/png;base64,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" class="Wirisformula" alt="mu F" width="21" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»μ«/mi»«mi»F«/mi»«/math»'/> and 6<img src="data:image/png;base64,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" class="Wirisformula" alt="mu F" width="21" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»μ«/mi»«mi»F«/mi»«/math»'/> capacitors are connected in parallel, hence resultant capacitance is <img src="data:image/png;base64,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" class="Wirisformula" alt="C to the power of ´ end exponent equals 10 blank mu F plus 6 blank mu F equals 16 blank mu F blank" width="197" height="20" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»C«/mi»«/mrow»«mrow»«mi»´«/mi»«/mrow»«/msup»«mo»=«/mo»«mn»10«/mn»«mi» «/mi»«mi»μ«/mi»«mi»F«/mi»«mo»+«/mo»«mn»6«/mn»«mi» «/mi»«mi»μ«/mi»«mi»F«/mi»«mo»=«/mo»«mn»16«/mn»«mi» «/mi»«mi»μ«/mi»«mi»F«/mi»«mi» «/mi»«/math»'/> This is connected in series with 4<img src="data:image/png;base64,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" class="Wirisformula" alt="mu F blank" width="24" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»μ«/mi»«mi»F«/mi»«mi» «/mi»«/math»'/>capacitor, hence effective capacitance is <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMAAAAAjCAYAAADCDAUrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA2tJREFUeNrtXDFoFEEU/RwSggTBIoiIBCSEkEJsRCQEEUKQcFgIIpIykEIsLAIiwcpGxEIsBAkSxC6IiIgIEkTEIiAiFiKChYVFGpEgIsfB+f/thzvW2du5ZG53ZvY9eMXOzS3z38y/+bP39xO5wwTzOvMjhQ/fbQlZ62nmY+Y2s6E2LGT03ce8x9xU3tc2L/GIucRsReAAvtsSstZvmBeZI3o9xXynbWlsMM92Xde1zWvE4ACh2BKL1mPMT6m288y7hr53MpwFkwIHCBp/U9cSJs0Z+p3WzzApsCUarU9qGNSNn8whQ19p28KkwJZYtB7WA+50qr3Z4zsNTApsiUHr/cynGaFOs49wCZMCBwgOR3Txj2d8vpURAg0jBIItoWs9yVxl7u3RRw66ZwztczgEw5aQtT7AXGfuyel3Tp0kjTXCY1DYErDWz3UHsMFr5hV1FgmHVij5I83byUgz5IXvsy0ha93qQdMh+YEeev9QkgoxQgAAAAitAAAOAFRx8eQRDhC3fgB2AKCMX4YiGaKNg/jVrZJ+oa8vbOEIgQAAIRAAwAEAAA5QUUjVgpeUpK666AcApUJyt29RUsJCcjK+M29QkquRxiglCUujOfe07VeEs9qUGDlOSRajlPOQ3JRnzFMlj73uwW7is35O9FmmJINvhlnTtsOUZOmtpfoOqWFTOfe07VcEbEqMLOl4J/RaatNILZu3JY5bksI+e+AAvurnRJ+rZM7JrlJcLk763sPxSmbkokfnCd/027U+4q3fKP/FhdgdQIT07QUMeYF8w7MDtUv9VpT9fuZUn9sa5lDFHeAL86BH45TwUYpIjQXiADvVz7TQbRa/M30kfhqHA7QPbLIbPtEHAA3d0hdKGudN5mWLccegX/eCt1n8zvSpkeelJwqcQGn/wJzXcLCmW+xX5qWCx3iU/i8g1YpcP1n0rywXvzN9ZBvZhgO0ITocMrQfY/4oeIybhl25Fbl+/TiAU31+U++yFVVxgBfUefybRqOEMfqaxDYI/foNgZzqIy8jL8MB2tv0BUP7pP7i+Dru0PXb6SHYmT5yipYCpdeo84+vpCzU1TlmK+IAEg7KP9aL1HkkfEKfNMzCAQai324fgzrTR+KphxrHyY1+UVKVaz6yhZ+3VUq6xqqGhU2d0BnPFx70s9DnH1W80Dyz7a4PAAABPXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTwvbW4+PG1yb3c+PG1pPkM8L21pPjxtaT4mI3hCNDs8L21pPjxtaT4mI3hCNDs8L21pPjwvbXJvdz48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj4xNjwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+NDwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtbj4yMDwvbW4+PG1yb3c+PG1uPjE2PC9tbj48bW8+JiN4RDc7PC9tbz48bW4+NDwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPuFa2EAAAAAASUVORK5CYII=" class="Wirisformula" alt="fraction numerator 1 over denominator C ´ ´ end fraction equals fraction numerator 1 over denominator 16 end fraction plus fraction numerator 1 over denominator 4 end fraction equals fraction numerator 20 over denominator 16 cross times 4 end fraction" width="192" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mi»C«/mi»«mi»´«/mi»«mi»´«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»16«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»20«/mn»«/mrow»«mrow»«mn»16«/mn»«mo»×«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="rightwards double arrow blank C to the power of ´ ´ end exponent equals fraction numerator 64 over denominator 20 end fraction equals 3.20 mu F" width="167" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»⇒«/mo»«mi» «/mi»«msup»«mrow»«mi»C«/mi»«/mrow»«mrow»«mi»´«/mi»«mi»´«/mi»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mrow»«mn»64«/mn»«/mrow»«mrow»«mn»20«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»3.20«/mn»«mi»μ«/mi»«mi»F«/mi»«/math»'/>

The equivalent capacitance of the combination of the capacitors is <img src="data:image/png;base64,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" alt="" width="285" height="249" />

Solution for the question - the equivalent capacitance of the combination of the capacitors is 2.16 he   3.90 he   7.80 he   3.20 he

The equivalent capacitance of the combination of the capacitors-Turito

The given circuit is equivalent to a parallel combination of two identical capacitors. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/487116/1/938681/Picture31.png" alt="" width="196" height="80" /> Hence, equivalent capacitance between points <img src="data:image/png;base64,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" class="Wirisformula" alt="A a n d blank B" width="54" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mi» «/mi»«mi»B«/mi»«/math»'/> is <img src="data:image/png;base64,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" class="Wirisformula" alt="C equals fraction numerator epsilon subscript 0 end subscript A over denominator d end fraction plus fraction numerator epsilon subscript 0 end subscript A over denominator d end fraction equals fraction numerator 2 epsilon subscript 0 end subscript A over denominator d end fraction" width="184" height="39" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mo»=«/mo»«mfrac»«mrow»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mi»A«/mi»«/mrow»«mrow»«mi»d«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mi»A«/mi»«/mrow»«mrow»«mi»d«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mi»A«/mi»«/mrow»«mrow»«mi»d«/mi»«/mrow»«/mfrac»«/math»'/>

Four plates of equal area <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIdJREFUeNpjYMAPChhIAOFA/AuIWYhRLAjEl4B4NxAHEKNhJhBHAnE8EE8hpNgSiLdA2eJAfBefYpB7zwCxLJLYOSDWwKWhHohL0MRagTgLm2INqGnowB6IN2HTcBiI/+PAGMGbBsQT8PhtORB7wTiS0DDnwaMhGdnAVUDsQyCopYH4FgM5AACEKxqdNkqvogAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PC9tYXRoPkHiA+IAAAAASUVORK5CYII=" class="Wirisformula" alt="A" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«/math»'/> are separated by equal distance <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJpJREFUeNpjYCAOfANiJmIUqgDxJSINZQgA4uXYJHiAeBIQfwDiH0C8BoinAHE5ukKQm/YDcSKUzQfE9UD8H2o6CqjFZgIQ3AJiaXTBx1BnoNv2DV2hARAfxGKqOdRpKCAIiBdjURwJxPOxBc8qLIpBBqShC3IB8TWoc0DAGIi3APFTIPbCFsbiQLwOGr7HgdgRiN8BMQcDOQAAo3gaq7eHLnAAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmQ8L21pPjwvbWF0aD7vs/sEAAAAAElFTkSuQmCC" class="Wirisformula" alt="d" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»d«/mi»«/math»'/> and are arranged as shown in the figure. The equivalent capacity is <img src="data:image/png;base64,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" alt="" width="310" height="146" />

Solution for the question - four plates of equal area a are separated by equal distance o and arearranged as shown in the figure. the equivalent capacity is (e_(0)a)/(d)

Four plates of equal area a are separated by equal distance o a-Turito

Solution of differential equation <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator d y over denominator d x end fraction plus a y equals e to the power of m x end exponent" width="110" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mi»a«/mi»«mi»y«/mi»«mo»=«/mo»«msup»«mi»e«/mi»«mrow»«mi»m«/mi»«mi»x«/mi»«/mrow»«/msup»«/math»'/> is

Solution for the question - solution of differential equation (dy)/(dx)+ay=e^(mx) is (a+m)y=e^(mx)+ce^(-ax) '/> y=e^(mx)+ce^(-dx) '/> ye^(wx)=me^(mx)+c '/>(a+m)y=e^(mx)+c '/>

Solution of differential equation (dy)/(dx)+ay=e^(mx) is -Turito

In given circuit when switch <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYEAFLEDcCMRPgfgHEJ8EYg8GLGATEAcAMRMQcwBxIhCvQlfkCMTLGYgA0UC8lxiFskD8DWqVJCHFBlBTvwBxLdSteEEk1PSjQMxDSDFIwWKoyQRBLBDPJUYhyEQfZIFpQFwJxBpQPh8Q1wPxGnSdOlDdoGj7BcTHgTiZgRwAAGaJF1GFi5q6AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5TPC9taT48L21hdGg+lbkQcwAAAABJRU5ErkJggg==" class="Wirisformula" alt="S" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»S«/mi»«/math»'/> has been closed then charge on capacitor <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIdJREFUeNpjYMAPChhIAOFA/AuIWYhRLAjEl4B4NxAHEKNhJhBHAnE8EE8hpNgSiLdA2eJAfBefYpB7zwCxLJLYOSDWwKWhHohL0MRagTgLm2INqGnowB6IN2HTcBiI/+PAGMGbBsQT8PhtORB7wTiS0DDnwaMhGdnAVUDsQyCopYH4FgM5AACEKxqdNkqvogAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PC9tYXRoPkHiA+IAAAAASUVORK5CYII=" class="Wirisformula" alt="A" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCXRFakA8QU0sWYgno+uMACIl6KJBWERY6gH4nI0sYVA7IGucBXUVCYgNgDiuUBcgMUfDLeA+D8Uf8FmEgPUlC9QNhsQuwDxcSBWQ1doDsR70cSigbgLXWEk1E3IIBaIZ6MrnATEiWhic6EGoIB1SI4XBeJQaOCzoSt8h+RjUDQuB2JpBlIBAK5MH2X+n9d5AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48L21hdGg+/ChvLAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«/math»'/> respectively are <img 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" alt="" width="305" height="213" />

Solution for the question - in given circuit when switch 5 has been closed then charge on capacitor aand 8 respectively are 5q,4q   4.5 q,4.5 q   6q,3q

In given circuit when switch 5 has been closed then charge on c-Turito

Solution of differential equation <img src="data:image/png;base64,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" class="Wirisformula" alt="d y minus sin space x sin y space d x equals 0" width="158" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»d«/mi»«mi»y«/mi»«mo»§#8722;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mi»sin«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«mo»=«/mo»«mn»0«/mn»«/math»'/> is

Solution for the question - solution of differential equation dy-sin x sin ydx=0 is e^(ta5x x_(tan)y=c) '/> e^(ta5 x)tan ((y)/(2))=c '/> cos x sin y=c '/> cosx tan y=c '/>

Solution of differential equation dy-sin x sin ydx=0 is -Turito

The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor. Therefore, at point <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEgAAAAPCAYAAABHsImTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAQxJREFUeNpjYKAfsAbig0PYfIZ6IC4H4gwgPgPEP6B8ajl8LxBb0sB+WpsPB6uA+CkQ9wCxEhUCxpJIh5NrP63NxwC3gDhoAAKGVPtpbT5WwATE36iUVf8DcREN7ae1+ViBORDvp1IAWULN2k9CDJNiP63NxwoigXg+ATVqQFwLxBdIzGrEeIQY+2lp/n8o/gXER4FYBV3BJCBOJmDJYiBOgxpECrAF4sMEPEKM/fQwH5QVs4D4HLrEOiD2IqEMoMQj2AAp9tPD/B/oAu+AmIPGAYQPkGI/rc23p7TB+Z9h+AJJaBmkNBpA2CuhLdBAYhgNIMyUsw2I+ajVEBxuABQ4GtQIGHQ8XABOvwEA4FliwL1knDMAAACldEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnI8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPiZsdDs8L21vPjxtaT5yPC9taT48bW8+Jmx0OzwvbW8+PG1zdWI+PG1pPnI8L21pPjxtbj4yPC9tbj48L21zdWI+PC9tYXRoPleNjB8AAAAASUVORK5CYII=" class="Wirisformula" alt="r subscript 1 end subscript less than r less than r subscript 2 end subscript" width="72" height="15" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»§lt;«/mo»«mi»r«/mi»«mo»§lt;«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/>, the electric field will not be zero.

Solution for the question - in the given figure, a hollow spherical capacitor is shown. the electricfield will not be zero at r_(1) < r < r_(2) r < r_(2)

In the given figure, a hollow spherical capacitor is shown. the-Turito

Final charge on capacitor is <img src="data:image/png;base64,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" class="Wirisformula" alt="q equals q subscript 0 end subscript e to the power of negative t divided by R C end exponent" width="99" height="22" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»q«/mi»«mo»=«/mo»«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«msup»«mrow»«mi»e«/mi»«/mrow»«mrow»«mo»-«/mo»«mi»t«/mi»«mo»/«/mo»«mi»R«/mi»«mi»C«/mi»«/mrow»«/msup»«/math»'/> where <img src="data:image/png;base64,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" class="Wirisformula" alt="q subscript 0 end subscript" width="19" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/math»'/>= charge on capacitor at <img src="data:image/png;base64,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" class="Wirisformula" alt="t equals 0 comma" width="39" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAANCAYAAACtpZ5jAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAQZJREFUeNpjYMAEP4D4PxA/BeKTQLwNiEUZsAMlIO4C4gtA/A2IHwJxMxALoitUgSpCBq1QzeigBIi3ALEtEDNBxWSBuACI56MrDgDipWhi4VgUlgPxbAYSQD3UJcigEeoKGFAD4rtAzEKKwauA2A+JzwfEN4BYHEmsB80iosAtIJaEusYDiM8BcSiammvQuCAagCLgDzRFwLAtFjU/SHWtORDvR+JbYkkNbED8iVSDI7HE/m4glkcT+wLEXKQYPAmI09DEQK5eiCY2F0vKwQvWAbEXFvG9QKyFxAf54B0QVyLlMA4g9oFa6oJuwDuoAgYsrt6GJYcuhIY3KJI/APEaHA6jLgAAMhwx5eIkLLcAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlI8L21pPjxtaT5DPC9taT48L21hdGg+xR6sZgAAAABJRU5ErkJggg==" class="Wirisformula" alt="R C" width="22" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»R«/mi»«mi»C«/mi»«/math»'/>=time constant of the circuit. Putting <img src="data:image/png;base64,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" class="Wirisformula" alt="q subscript 0 end subscript equals C V subscript 0 end subscript" width="66" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mo»=«/mo»«mi»C«/mi»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="therefore q equals C V subscript 0 end subscript superscript negative 1 divided by R C end superscript" width="112" height="24" style="vertical-align:-7px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«mi»q«/mi»«mo»=«/mo»«mi»C«/mi»«msubsup»«mrow»«mi»V«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«mo»/«/mo»«mi»R«/mi»«mi»C«/mi»«/mrow»«/msubsup»«/math»'/> Given, <img src="data:image/png;base64,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" class="Wirisformula" alt="C equals 2 F comma V subscript 0 end subscript equals 5 blank v o l t comma R equals 6 blank capital omega comma blank t equals 12 blank s" width="261" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mo»=«/mo»«mn»2«/mn»«mi»F«/mi»«mo»,«/mo»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mo»=«/mo»«mn»5«/mn»«mi» «/mi»«mi»v«/mi»«mi»o«/mi»«mi»l«/mi»«mi»t«/mi»«mo»,«/mo»«mi»R«/mi»«mo»=«/mo»«mn»6«/mn»«mi» «/mi»«mi»Ω«/mi»«mo»,«/mo»«mi» «/mi»«mi»t«/mi»«mo»=«/mo»«mn»12«/mn»«mi» «/mi»«mi»s«/mi»«/math»'/> Hence, <img src="data:image/png;base64,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" class="Wirisformula" alt="q equals open parentheses 2 cross times 5 close parentheses e to the power of negative left parenthesis 12 divided by 6 cross times 2 right parenthesis end exponent" width="158" height="20" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»q«/mi»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«mo»×«/mo»«mn»5«/mn»«/mrow»«/mfenced»«msup»«mrow»«mi»e«/mi»«/mrow»«mrow»«mo»-«/mo»«mo»(«/mo»«mn»12«/mn»«mo»/«/mo»«mn»6«/mn»«mo»×«/mo»«mn»2«/mn»«mo»)«/mo»«/mrow»«/msup»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals 10 e to the power of negative 1 end exponent equals fraction numerator 10 over denominator e end fraction C" width="123" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»10«/mn»«msup»«mrow»«mi»e«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mrow»«mn»10«/mn»«/mrow»«mrow»«mi»e«/mi»«/mrow»«/mfrac»«mi»C«/mi»«/math»'/>

In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis e equals 2.718 right parenthesis" width="80" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»(«/mo»«mi»e«/mi»«mo»=«/mo»«mn»2.718«/mn»«mo»)«/mo»«/math»'/> <img src="data:image/png;base64,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" alt="" />

Solution for the question - in the capacitor shown in the circuit is changed to 5 v and left in thecircuit, in 12s the charge on the capacitor will become (e=2.

In the capacitor shown in the circuit is changed to 5 v and lef-Turito

The solution of the differential equation <img src="data:image/png;base64,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" class="Wirisformula" alt="2 x fraction numerator d y over denominator d x end fraction minus y equals 3" width="103" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»§#8722;«/mo»«mi»y«/mi»«mo»=«/mo»«mn»3«/mn»«/math»'/> represent

Solution for the question - the solution of the differential equation 2x(dy)/(dx)-y=3 represent ellipsesparabolascirclesstraight lines

The solution of the differential equation 2x(dy)/(dx)-y=3 r-Turito

The stress - strain graphs for materials A and B are as shown. Choose the correct alternative <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487101/1/938592/Picture18.png" alt="" width="176" height="128" /><img src="https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460659/1/938592/Picture18.png" alt="" width="166" height="120" />

Solution for the question - the stress - strain graphs for materials a and b are as shown. choose thecorrect alternative youngs modulus of b is greater than that of a

The stress - strain graphs for materials a and b are as shown. -Turito

Solution for the question - in the experiment to determine youngs modulus of the material of a wireunder tension used in the arrangement as shown. the percentag

In the experiment to determine youngs modulus of the materia-Turito

Solution for the question - the graph shows the change ' ' dl in the length of a thin uniform wire usedby the application of force f at different temperatures t

The graph shows the change ' ' dl in the length of a thin unifo-Turito

The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line <img src="https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460650/1/938588/Picture15.png" alt="" width="195" height="191" />

Solution for the question - the load versus extension graph for four wires of same material is shown.the thinnest wire is represented by the line od

The load versus extension graph for four wires of same material-Turito

<img src="data:image/png;base64,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" class="Wirisformula" alt="q subscript i end subscript equals C subscript i end subscript V equals 2 V equals q" width="125" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»C«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«mi»V«/mi»«mo»=«/mo»«mn»2«/mn»«mi»V«/mi»«mo»=«/mo»«mi»q«/mi»«/math»'/> (say) This charge will remain constant after switch is shifted from position 1 to position 2. <img src="data:image/png;base64,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" class="Wirisformula" alt="U subscript i end subscript equals fraction numerator 1 over denominator 2 end fraction fraction numerator q to the power of 2 end exponent over denominator C subscript i end subscript end fraction equals fraction numerator q to the power of 2 end exponent over denominator 2 cross times 2 end fraction equals fraction numerator q to the power of 2 end exponent over denominator 4 end fraction" width="184" height="44" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»U«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«msub»«mrow»«mi»C«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»2«/mn»«mo»×«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="U subscript i end subscript equals fraction numerator 1 over denominator 2 end fraction fraction numerator q to the power of 2 end exponent over denominator C subscript i end subscript end fraction equals fraction numerator q to the power of 2 end exponent over denominator 2 cross times 10 end fraction equals fraction numerator q to the power of 2 end exponent over denominator 20 end fraction" width="195" height="44" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»U«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«msub»«mrow»«mi»C«/mi»«/mrow»«mrow»«mi»i«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»2«/mn»«mo»×«/mo»«mn»10«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»20«/mn»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAACBJREFUeNpjYCAM/kMxRYAqhowC/AEZAJVbThdDBgYAAO75C+VyngYIAAAAUHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PC9tYXRoPhpvPpoAAAAASUVORK5CYII=" class="Wirisformula" alt="therefore" width="17" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«/math»'/>Energy dissipated<img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses fraction numerator q to the power of 2 end exponent over denominator 5 end fraction close parentheses i s blank" width="59" height="43" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»5«/mn»«/mrow»«/mfrac»«/mrow»«/mfenced»«mi»i«/mi»«mi»s«/mi»«mi» «/mi»«/math»'/>80% of the initial stored energy <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses equals fraction numerator q to the power of 2 end exponent over denominator 4 end fraction close parentheses" width="58" height="43" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mo»=«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«/mrow»«/mfenced»«/math»'/>.

Solution for the question - a 2he capacitor is charged as shown in the figure. the percentage of itsstored energy dissipated after the switch 5 is turned to pos

A 2he capacitor is charged as shown in the figure. the percenta-Turito

What is the potential difference between points <img src="data:image/png;base64,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" class="Wirisformula" alt="A a n d B" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mi»B«/mi»«/math»'/> in the circuit shown? <img src="data:image/png;base64,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" alt="" width="251" height="227" />

Solution for the question - what is the potential difference between points aand in the circuit shown? 12 v3 v

What is the potential difference between points aand in the cir-Turito

If m and n are order and degree of the equation <img 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class="Wirisformula" alt="open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses to the power of 5 plus 4 times fraction numerator open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed over denominator fraction numerator d cubed y over denominator d x cubed end fraction end fraction plus fraction numerator d cubed y over denominator d x cubed end fraction equals x squared minus 1" width="275" height="78" style="vertical-align:-32px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced separators=¨|¨»«mfrac»«mrow»«msup»«mi»d«/mi»«mn»2«/mn»«/msup»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mfenced»«mn»5«/mn»«/msup»«mo»+«/mo»«mn»4«/mn»«mo»§#8901;«/mo»«mfrac»«msup»«mfenced separators=¨|¨»«mfrac»«mrow»«msup»«mi»d«/mi»«mn»2«/mn»«/msup»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mfenced»«mn»3«/mn»«/msup»«mfrac»«mrow»«msup»«mi»d«/mi»«mn»3«/mn»«/msup»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mrow»«/mfrac»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msup»«mi»d«/mi»«mn»3«/mn»«/msup»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mrow»«/mfrac»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»1«/mn»«/math»'/> then

Solution for the question - if m and n are order and degree of the equation((d^(2)y)/(dx^(2)))^(5)+4*(((d^(2)y)/(dx^(2)))^(3))/((d^(3)y)/(dx^(3)))+(d^(3)y)/(dx^