The radii of two conducting concentric spheres are a = 0.12 m and b = 0.285 m. E

Question

The radii of two conducting concentric spheres are a = 0.12 m and b = 0.285 m. Express the capacitance of two concentric spheres in terms of radii a and b and the Coulomb constant k. Expression: C = Select from the variables below to write your expression. Note that all variables may not be required. beta, Delta V, epsilon_0, mu, pi, theta, a, b, d, g, h, i j, k, k_e, m, n, P, Q, t Calculate the numerical value of the capacitance n F. A numeric value is expected and not an expression. C = Express the capacitance C through the potential difference Delta V across the capacitor and charge Q. Expression: C = Select from the variables below to write your expression. Note that all variables may not be required. alpha, beta, Delta V, theta, a, b, d, g, h, i, k_e, m, P, Q, t If the charge in the inner sphere is -Q = 3 mu C, the outer sphere -Q = -3 mu C, calculate electric potential difference Delta V between the outside and the inside conductors in V. A numeric value is expected and not and expression. Delta V =

Explanation / Answer

a)Capacistance will be given by:

C = (4 pi epsilon0) [ab/(b-a)]

b)a = 0.12 m ; b = 0.285 m

C = 4 x 3.14 x 8.85 x 10^-12 [0.12 x 0.285/(0.285 - 0.12)

C = 22.8 x 10^-12 F = 22.8 pF

c)Q = CV

C = Q/V

d)V = Q/C

V = 3 x 10^-6/22.8 x 10^-12 = 1.32 x 10^5 Volts

Hence, V = 1.32 x 10^5 Volts

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