Figure shows a capacitor made of two circular plates, each of radius $$12$$ cm and separated by $$5.0$$ mm. The capacitor is being charged by an external source (not$$ shown in $$figure). The charging current is constant and equal to $$0.15$$ A. Calculate the rate of change of potential difference between the plates (in$$ $$109$$ $$V/s).

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Infinity Learn · Accepted Answer

Area of one of the plates, $$A=$$π$$12$$×$$10$$−$$22$$ $$m2Distance$$ between the plates, $$d=5.0mm=5$$×$$10$$−$$3$$ mCapacitance of the capacitor, $$C=$$ϵ$$0Ador$$ $$C=14$$π×$$9$$×$$109$$×π$$12$$×$$10$$−$$225$$×$$10$$−$$3$$    $$=80$$×$$10$$−$$12$$ $$F=80$$ pFCharging current, $$I=dQdt=ddt(CV)$$ or $$I=CdVdt$$ or $$dVdt=ICRate$$ of change of p.d.$$=dVdt=IC=0.15$$ $$A80$$×$$10$$−$$12$$ $$F=1.87$$×$$109$$ $$V/s$$

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