Question

A battery with potential different E charges an ideal circular parallel-plate capacitor of capacitance C, plate...

A battery with potential different E charges an ideal circular parallel-plate capacitor of capacitance C, plate radius r0 and separation between the plates d, through a wire with resistance R. The total charge on each plate as a function of time is : Q(t) = CE(1-eˆ(-t/RC)). Consider the surface charge density uniform on the plates.

1. Find the electric flux between the plates as a function of time.

2. The rate of change of the electric flux between the plates as a function of time.

3. The magnetic field inside the capacitor at a distance r from the central axis.

4. The instantaneous energy of the magnetic field inside the capacitor.

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