Moving Plates Capacitor!

Two identical capacitors having plate separation \(1 \text{ mm}\) are connected parallel to each other across points \(A\) & \(B\) as shown in figure. Total charge of \(4 \mu C\) is imparted to the system by connecting a battery across \(A\) & \(B\) and battery is removed. Now first plate of first capacitor and second plate of second capacitor starts moving with constant velocity \(u_0=3 \text{ m/s}\) towards left. Find the magnitude of current (in \(\text{mA}\)) flowing in the loop initially.

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