A hollow insulating cylinder with an inner radius a and an outer radius b has a volume charge density pv that is uniformly distributed throughout the volume. The cylinder has a total length of L. Express your answers in terms of pv, p, a, b, and L. Simplify your final answer. Hint: Enclose region with a suitable Gaussian surface and use Gauss' law. Determine the electric flux density at 0 <= p <= a. Determine the electric flux density at a <= p <= b. Determine the electric flux density at p > b.

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A hollow insulating cylinder with an inner radius a and an outer radius b has a
volume charge density pv that is uniformly distributed throughout the volume. The cylinder has a total length of L. Express your answers in terms of pv, p, a, b, and L. Simplify your final answer. Hint: Enclose region with a suitable Gaussian surface and use Gauss' law.

  • Determine the electric flux density at 0 <= p <= a.
  • Determine the electric flux density at a <= p <= b.
  • Determine the electric flux density at p > b.
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