Consider two concentric spherical conducting shells. The smaller shell has radiu

Question

Consider two concentric spherical conducting shells. The smaller shell has radius a = 0.4 m and charge 4 mu C on it, while the larger shell has radius b = 3a and charge 20 mu C on it. Assume that the electric potential V at infinity is zero. The Coulomb constant is 8.98755 times 10^9 N middot m^2/C^2. Determine the electric field E at P, where the distance OP = 2a. Answer in units of N/C. Find the electric potential V at point P. 1/4 pi epsilon_0 (q_1 + q_2/3a) 1/4 pi epsilon_0 (q_1/3a + q_2/2a) 1/4 pi epsilon_0 (q_1/2a + q_2/3a) 1/4 pi epsilon_0 (q_1 + q_2/2a) 1/4 pi epsilon_0 (q_1 + q_2/a) 1/4 pi epsilon_0 (q_1/a + q_2/3a) 1/4 pi epsilon_0 (q_1/a + q_2/2a) 0 infinity 1/4 pi epsilon_0 (q_1/2a + q_2/a)

Explanation / Answer

here,

the charge on the smaller shell , q = 4 * 10^-6 C

OP = 2a

let the electric feild at P be E

using Gauss' law

E * 4 * pi * (2a)^2 = q /e0

E * 4 * pi * (2 * 0.4)^2 = 4 * 10^-6 /( 8.85 * 10^-12)

E = 5.6 * 10^4 N/C

the elcetric feild at P is 5.6 * 10^4 N/C

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