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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.
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