A capacitor is constructed out two conducting circular plates of radius a. They are separated by a distance d. The permittivity of the material between the plates has a radial dependence in the form epsilon = epsilon_0(1 + rho^2/a^2). The upper plate is at a potential v_o and the bottom plate is grounded. a. Find the electric field E between the two plates. (easy, don’t overthink it) b. Find (also easy) c. Finally, what is Q on the upper plate and the capacitance of the system, C? (just might involve an integral)

Screenshot 3 - A capacitor is constructed out two conducting circular plates of radius a. They are separated by a distance d. The permittivity of the material between the plates has a radial dependence in the form epsilon = epsilon_0(1 + rho^2/a^2). The upper plate is at a potential v_o and the bottom plate is grounded. a. Find the electric field E between the two plates. (easy, don't overthink it) b. Find (also easy) c. Finally, what is Q on the upper plate and the capacitance of the system, C? (just might involve an integral)

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images - A capacitor is constructed out two conducting circular plates of radius a. They are separated by a distance d. The permittivity of the material between the plates has a radial dependence in the form epsilon = epsilon_0(1 + rho^2/a^2). The upper plate is at a potential v_o and the bottom plate is grounded. a. Find the electric field E between the two plates. (easy, don't overthink it) b. Find (also easy) c. Finally, what is Q on the upper plate and the capacitance of the system, C? (just might involve an integral)

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