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    Capacitance with Permittivity (Laplace's Equation)

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    A parallel plate capacitor has its plates at x = o and x = d. The space between the plates is filled with an inhomogenous material with permittivity: {see attachment}.
    The plate at x = d is maintained at Vo while the plate at x = o is grounded.
    (a) Solve Laplace's Equation for V(x)
    (b) Find the field {see attachment} between the plates.

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    Solution Summary

    The solution provides calculations for a parallel plate capacitor. Calculations for Laplace's Equation and the field between plates are included.