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Applications of Gauss's law (intermediate)

Problem

A charge of magnitude 4×109 C is distributed uniformly in a solid sphere of unit radius.
What is the electric field, ER/2, at a point that is half a radius away from the center of the sphere?
Note: For simplicity, do the numerical calculation only after deriving the final expression.
  • Magnitude, |ER/2|=
    • Your answer should be
    • an integer, like 6
    • a simplified proper fraction, like 3/5
    • a simplified improper fraction, like 7/4
    • a mixed number, like 1 3/4
    • an exact decimal, like 0.75
    • a multiple of pi, like 12 pi or 2/3 pi
    NC1
  • Direction:
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