A parallel plate capacitor is made using two circular plates of radius a, with the bottom plate on the xy plane, centered at the origin The top plate is located at z d, with its center on the z axis Potential V 0 is on the top plate the bottom plate is grounded Dielectric having radially dependent permittivity fills the region between plates The permittivity is given by () 0 (1 2 a 2 ) Find (a) E (b) D (c) Q (d) C

Question: A parallel-plate capacitor is made using two circular plates of radius a, with the bottom plate on the xy plane, centered at the origin. The

A parallel-plate capacitor is made using two circular plates of radius a, with the bottom plate on the xy plane, centered at the origin. The top plate is located at z = d, with its center on the z axis. Potential V₀ is on the top plate; the bottom plate is grounded. Dielectric having radially dependent permittivity fills the region between plates. The permittivity is given by ∈(ρ) = ∈₀(1 + ρ²/a²). Find

(a) E;

(b) D;

(d) C.

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