The electric field must be zero inside a conductor in

Chapter 24, Problem 24.78

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The electric field must be zero inside a conductor in electrostatic equilibrium, but not inside an insulator. It turns out that we can still apply Gausss law to a Gaussian surface that is entirely within an insulator by replacing the right-hand side of Gausss law, Qin /P0, with Qin /P, where P is the permittivity of the material. (Technically, P0 is called the vacuum permittivity.) Suppose that a 50 nC point charge is surrounded by a thin, 32-cm-diameter spherical rubber shell and that the electric field strength inside the rubber shell is 2500 N/C. What is the permittivity of rubber?

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