A 10.9 F capacitor and a 22.1 F capacitor are connected in parallel across the t

Question

A 10.9 F capacitor and a 22.1 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 10.9F capacitor?
V

3) What is the potential difference across the 22.1F capacitor?
V
4) What is the charge on the 10.9 F capacitor? C
5) What is the charge on the 22.1 F capacitor?
C
6) Find the energy stored in the 10.9 F capacitor. J

7) Find the energy stored in the 22.1 F capacitor.
J

A 10.9 F capacitor and a 22.1 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 10.9F capacitor?
V

3) What is the potential difference across the 22.1F capacitor?
V
4) What is the charge on the 10.9 F capacitor? C
5) What is the charge on the 22.1 F capacitor?
C
6) Find the energy stored in the 10.9 F capacitor. J

7) Find the energy stored in the 22.1 F capacitor.
J

A 10.9 F capacitor and a 22.1 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 10.9F capacitor?
V

3) What is the potential difference across the 22.1F capacitor?
V
4) What is the charge on the 10.9 F capacitor? C
5) What is the charge on the 22.1 F capacitor?
C
6) Find the energy stored in the 10.9 F capacitor. J

7) Find the energy stored in the 22.1 F capacitor.
J

Explanation / Answer

a) equivalent capacitance = 10.9 + 22.1 = 33 uF

b) since capacitors are connected in parallel

potential difference across both will be same

= 6 V

c) 6V

d) charge = CV = 10.9*6 = 65.4 uC

e) CV = 22.1*6 = 132.6 uC

f) energy = 0.5CV^2 = 0.5*10.9*6^2 = 196.2 J

g) 0.5*22.1*6^2 = 397.8 J

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