A solid sphere with a radius R is uniformly charged. The charge density (charge

Question

A solid sphere with a radius R is uniformly charged. The charge density (charge per unit volume) is Ï. Figure A below depicts its cross section on the x-y plane. The centre of the sphere is at the origin.

(a) Determine the electric field E at point P(2R/3, 0, 0).

(b) A spherical cavity of radius R/2 is created as shown in figure B. The centre of the cavity is located at (R/2, 0, 0). Determine the electric field inside the cavity at point P(2R/3, 0, 0).

(c) If the cavity inside the sphere has a radius w and the centre of the cavity is located at (a, b, 0), find the electric field at a point (x, y, 0) inside the cavity.

Explanation / Answer

A) E= ir / 3 epsilonnot;

where r =2R/3;

I is charge density;

hence E= I 2 R / (3*3)

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