Two square shaped metal plates of side 1 m, kept 0.01 m apart in air form a parallel plate capacitor. It is connected to a battery of 500 V. The plates of the capacitor are then immersed in an insult…

Question

Two square shaped metal plates of side 1 m, kept 0.01 m apart in air form a parallel plate capacitor. It is connected to a battery of 500 V. The plates of the capacitor are then immersed in an insulting oil by lowering the plates vertically with a speed of 0.001 ms^-1. If the dielectric constant of the oil is 11 , then current drawn from the battery during this process is

Accepted Answer

Correct answer: C. (c) Capacitance, C= (1-x .1 )d+ Kϵ_0xd = ϵ_0 d (1-x+ Kx ) or ,C= ϵ_0 d [1+ (K-1 )x ] dC dt= ϵ_0 d ( K-1 )V= 8.85 10^-120.01 (11-1 ) 0.001 =8.85 10^-12 ∵Q= CV or ,I=V . dC dt=500 8.85 10^-12 =4.425 10^-9 A

Solution

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