A 9.3 F capacitor and a 23.5 F capacitor are connected in parallel across the te

Question

A 9.3 F capacitor and a 23.5 F capacitor are connected in parallel across the terminals of a 6.0 V battery.

1)

What is the equivalent capacitance of this combination?

F

2)

What is the potential difference across the 9.3F capacitor?

V

3)

What is the potential difference across the 23.5F capacitor?

V

4)

What is the charge on the 9.3 F capacitor?

C

5)

What is the charge on the 23.5 F capacitor?

C

6)

Find the energy stored in the 9.3 F capacitor.

J

7)

Find the energy stored in the 23.5 F capacitor.

J

Explanation / Answer

1)

equivalent capacitance of this combination C=C1+C2 =9.3+23.5 =32.8 F

Total charge = Q=CV = 32.8*6 =196.8 C

2) potential difference across the 9.3F capacitor = V1 =6 V

3) potential difference across the 23.5F capacitor = V2 =6 V

4) charge on the C1=9.3 F capacitor = 9.3*6=55.8 C =Q1

5) charge on the C2=23.5 F capacitor = 23.5*6= 141 C =Q2

6) energy stored in the 9.3 F capacitor = 1/2 Q1V1 = 1/2 *55.8*6= 167.4 J

7) energy stored in the 23.5 F capacitor = 1/2 Q2 V2 =1/2*141*6 = 423 J

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