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Statement of a problem № 3737

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Charge q = 10^(-9) C is uniformly distributed in a sphere of radius R = 1 m. (i) Find the divergence of the electric field inside the sphere. (ii) A proton is moved from infinity to r = 0.8 m from the centre of the sphere. Find the electric force experienced by the proton at r = 0.8 m. (iii) Find the work done by the electric field of the charged sphere when the proton is moved from infinity to its current position (r = 0.8 m).

Solution:
Charge q = 10^(-9) C is uniformly distributed in a sphere of radius R = 1 m. (i)

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