Question

Find the charges on the three capacitors connected to a battery as shown in figure (31-E1) Take C1=2·0 μF, C2=4·0 μF, C3=6·0 μF and V=12 volts.
Figure

Answer 1

Answer:

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Answer 2

The charges on the three capacitors connected to a battery is 24 $\times$ 10-6 , 48 $\times$ 10-6 , 72 $\times$ 10-6 C.

Explanation:

Given:

Capacitance C1=2•0 μF

C2=4•0 μF

C3=6•0 μF

We know that Charge Q = C $\times$ V

Where Q = Charge

C = Capacitance

V = Voltage in the circuit

The charge across the capacitor C1 ( Q1 ) = C1 $\times$ V

2 $\times$ 10-6 $\times$ 12 = 24 $\times$ 10-6 C

The charge across the capacitor C2 ( Q2 ) = C2 $\times$ V

4 $\times$ 10-6 $\times$ 12 = 48 $\times$ 10-6 C

The charge across the capacitor C3 ( Q3 ) = C3 $\times$ V

6 $\times$ 10-6 $\times$ 12 = 72 $\times$ 10-6 C

Hence the charge across the capacitors is 24 $\times$ 10-6 , 48 $\times$ 10-6 , 72 $\times$ 10-6 C respectively.