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2. 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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Transcribed Image Text:2. 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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Step 1: Required and given data
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Step 2: Potential and Electric field intensity
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Step 3: Polarization vector
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Step 4: Surface charge density
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Step 5: Capacitance
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Solution
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