1. A spherical capacitor has a radii 20.0 cm and 50.0 cm. Find it’s capacitance.

Question

1. A spherical capacitor has a radii 20.0 cm and 50.0 cm. Find it’s capacitance.
2. What value of capacitance is necessary to store 1.73 x 10^-3 J of energy when it is placed across a potential difference of 24.0 V?
1. A spherical capacitor has a radii 20.0 cm and 50.0 cm. Find it’s capacitance.
2. What value of capacitance is necessary to store 1.73 x 10^-3 J of energy when it is placed across a potential difference of 24.0 V?

2. What value of capacitance is necessary to store 1.73 x 10^-3 J of energy when it is placed across a potential difference of 24.0 V?

Explanation / Answer

1) C = 4pi*eo / (1/a - 1/b)

= 4pi*8.85*10^-12 / (1/0.2 - 1/0.5)

= 3.7*10^-11 F

2) E = 0.5Cv^2

1.73*10^-3 = 0.5*C*24^2

C = 5.9*10^-6 C = 5.9 uC

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