A parallel-plate capacitor is filled with a nonuniform dielectric characterized by ϵr = 2 + 2 × 106x 2, where x is the distance from one plate in meters. If S = 0.02 m2 and d = 1 mm, find C.
2. Repeat Problem 6.4, assuming the battery is disconnected before the plate separation is increased.
An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V0 between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: (a) V0; (b) C; (c) E; (d) D; (e) Q; ( f ) ρS; (g) WE
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