Athin metallic spherical shell of radius 41.6 cm has a total charge of 8.55 μc uniformly distributed on it. at the center of the shell is placed a point charge of 4.43 μc . what is the magnitude of the electric field at a distance of 17.9 cm from the center of the spherical shell?

E = 1.2443*10⁶ N/C

Explanation:

R = 41.6 cm = 0.416 m

Q₁ = 8.55 μC = 8.55*10⁻⁶C

Q₀ = 4.43 μC = 4.43*10⁻⁶C

r = 17.9 cm = 0.179 m

K = 9*10⁹ N*m²/C²

Since r < R  we can apply Gauss's Law as follows

E = K*Q₀ / r²

⇒  E = (9*10⁹ N*m²/C²)*(4.43*10⁻⁶C) / (0.179 m)²

⇒  E = 1.2443*10⁶ N/C

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