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A parallel plate capacitor with circular plates of radius 1m has a capacitance of 1nF. At time t=0, it is connected for charging in series with a resistor R = 1 M ohm across a 2V baterry. Calculate the magnetic field at a point P, halfway between the centre and the periphery of the plates, after t=10 raised to the power -3 seconds

Q.A parallel plate capacitor with circular plates of radius 1m has a capacitance of 1nF. At time t=0, it is connected for charging in series with a resistor R = 1 M ohm across a 2V baterry. Calculate the magnetic field at a point P, halfway between the centre and the periphery of the plates, after t=10 raised to the power -3 seconds

Here in this case ,

$Here,C={10}^{-19}F\phantom{\rule{0ex}{0ex}}x=0\xb75m\phantom{\rule{0ex}{0ex}}r=1m\phantom{\rule{0ex}{0ex}}R={10}^{6}\Omega \phantom{\rule{0ex}{0ex}}V=2volt\phantom{\rule{0ex}{0ex}}A=\pi {m}^{2}\phantom{\rule{0ex}{0ex}}Nowdis\mathrm{tan}cebetweenthetwoplatesbe,\phantom{\rule{0ex}{0ex}}d=\frac{{\epsilon}_{0}A}{C}=2\xb78\times {10}^{8}m\phantom{\rule{0ex}{0ex}}thustheplatesarefarawayandtheelectricfieldnearthefirstplatewillbe,\phantom{\rule{0ex}{0ex}}E=\frac{q}{2{\epsilon}_{0}A}\phantom{\rule{0ex}{0ex}}ByRCcircuitanalysis,consideringtheGaussiansurfaceshownbythecylinderofheight0\xb75m,\phantom{\rule{0ex}{0ex}}$

Regards

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