Two identical capacitors having plate separation d0 are connected parallel to each other across points A and B as shown in figure. A charge Q is imparted to the system by connecting a battery across A and B and battery is removed. Now first plate of first capacitor and second plate of second capacitor starts moving with constant velocity u0 towards left. Find the magnitude of current flowing in the loop during the process.
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a
Q2 d0u0
b
Qd0u0
c
2Qd0u0
d
Q3 d0u0
answer is A.
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Detailed Solution
Let each plate moves a distance x from its initial position. Let q charge flows in the loop. Using Kirchhoff's voltage law(Q2−q)(d0+x)ϵ0 A−(Q2+q)(d0−x)ϵ0 A=0⇒q=Qx2 d0∴I=dqdt=Q2 d0(dxdt)=Q2 d0u0