A parallel-plate capacitor has its plates at y= 0, d and the space between the plates is filled with an inhomogeneous material with permittivity eps= eps_0(1+y/d). If the plate at y=d is maintained at V_d while the plate at y=0 is maintained at  potential 0: (a) find the potential V and the electric field intensity E (b) Find the polarization vector P (c) find the surface charge density rho_ps at y=0, d (d) find the capacitance, assuming that each plate has area S

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A parallel-plate capacitor has its plates at y= 0, d and the space between the plates is filled with an inhomogeneous material with permittivity eps= eps_0(1+y/d). If the plate at y=d is maintained at V_d while the plate at y=0 is maintained at  potential 0:
(a) find the potential V and the electric field intensity E
(b) Find the polarization vector P
(c) find the surface charge density rho_ps at y=0, d
(d) find the capacitance, assuming that each plate has area S

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