The figure below shows two capacitors C 1 and C 2 in parallel being charged by a

Question

The figure below shows two capacitors C1and C2in parallel being charged by a 12.0 V battery. One capacitor is filled with air, and the other is filled with a dielectric for which k = 3.00; both capacitors have a plate area of 5.00 x 10-3m2and a plate separation of 2.00 mm.

a) How much charged is stored (NET) in the system of both capacitors?

The figure below shows two capacitors C1 and C2 in parallel being charged by a 12.0 V battery. One capacitor is filled with air, and the other is filled with a dielectric for which k = 3.00; both capacitors have a plate area of 5.00 x 10-3 m^2 and a plate separation of 2.00 mm. a) How much charged is stored (NET) in the system of both capacitors?

Explanation / Answer

Here ,

as Capacitor with air

C = 8.854*10^-12* 5.00 * 10^-3/(0.002)

C = 2.214*10^-11 F

for capacitor with C2

C2 = k*C1

C2 = 3*2.214*10^-11

C2 = 6.642*10^-11

In Parallel ,

Cnet = C1 + C2

Qnet = ( 2.214*10^-11 + 6.642*10^-11 )*12

Qnet = 1.063 *10^-9 C

Charge stored in the capacitors is 1.063 *10^-9 C

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