The net charge on a capacitor is

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Q. A parallel plate capacitor of

20 μ F

is connected to a

1 V

battery. The net charge on this capacitor is

Q. Assertion: Charges are given to plates of two plane parallel plate capacitors

C_{1}

and

C_{2}

(such that

C_{2} = 2 C_{1}

)as shown in figure. Then the key

K

is pressed to complete the circuit. Finally the net charge on upper plate and net charge the circuit. Finally the net charge on upper plate and net charge on lower plate of capacitor

C

is positive.
Reason : In a parallel plate capacitor both plates always carry equal and opposite charge.

If the above capacitor is connected across a 6.0 V battery, find (a) the charge supplied by the battery, (b) the induced charge on the dielectric and (c) the net charge appearing on one of the coated surfaces.

Q. The figure shows a RC circuit with a parallel plate capacitor. Before switching on the circuit, plate A of the capacitor has a charge –

Q_{0}

while plate B has no net charge. Now, at t = 0, the circuit is switched on. How much time (in second) will elapse before the net charge on plate A becomes zero.

Given

(C = 1 μ F, Q_{0} = 1 m C, ε = 1000 V a n d R = \frac{2 \times 10^{6}}{1 n 3} Ω)

A part of the circuit is shown in the figure. All the capacitors have capacitance of 2μF.

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