A capacitor has parallel plates of area 12 cm2 separated by 5.0 mm . The space b

Question

A capacitor has parallel plates of area 12 cm2 separated by 5.0 mm . The space between the plates is filled with polystyrene (K=2.6, Em=2.0×107V/m).

Part A

Find the permittivity of polystyrene.

Express your answer using two significant figures.

Part B

Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown.

Express your answer using two significant figures.

Part C

When the voltage equals the value found in part B, find the surface charge density on each plate.

Express your answer using two significant figures.

Part D

Find the induced surface-charge density on the surface of the dielectric.

Express your answer using two significant figures.

Explanation / Answer

C = keA/d = 5.52*10^-12 F

a) ke = 2.302*10^-11
b) E = V/d
V = 100,000 V
c) Q = CV
sigma = Q/A = 4.6*10^-4 C/m^2
d) (1-1/k)sigma = 2.83*10^-4

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