A solid sphere of radius 42 cm has a total positive charge of 23 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at 150 cm from the center of the sphere.

Electric field due to uniformly charged sphere is 9.2 x 10⁴ N/C

Explanation:

Given :

Radius of the solid sphere, R = 42 cm = 0.42 m

Total charge on the sphere, Q = 23 μC = 23 x 10⁻⁶ C

Distance of the point from the center of the sphere, r = 150 cm = 1.5 m

Since, r > R, so the point is outside the sphere. Thus, the electric field outside the uniformly charged sphere is determine by the relation:

Here k is constant and its value is 9 x 10⁹ N·m²/C².

Substitute the suitable values in the above equation.

E = 9.2 x 10⁴ N/C

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