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Q.

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A. If the rate of change of potential difference between the plates is 7×108V/s then the integer value of the distance between the parallel plates is –
(Take,ϵ0=9×1012Fm,π=227)________μm.

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answer is 1320.

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Detailed Solution

 Q=VC=it(ϵ0Ad)=itdϵ0(πr2) i=dQdt=CdVdt=Aε0ddVdt d=ϵ0(πr2)i(dVdt) =(9×1012)(227)(0.1)20.15(7×108)m d=1320μm

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