The electric field inside a sphere of radius a is radially-directed, with unifor

Question

The electric field inside a sphere of radius a is radially-directed, with uniform magnitude Ea ; outside the sphere it vanishes.

a) i) Calculate the volume charge density at any distance ra from the center, and ii) use this to calculate the total volume-charge.

b) Specify the position of any sheet charge, and calculate the surface-charge density on it.

c) Check that your answers to parts a) and b) imply a total charge (volume-plus surface surface-charge) in agreement with the value directly implied by the given information.

d) Calculate the total energy U of the charge distribution.

Explanation / Answer

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