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# A parallel-plate capacitor is filled with a dielectric with K = 4. The plate area is 3 m2 and...

A parallel-plate capacitor is filled with a dielectric with K = 4. The plate area is 3 m2 and the plate separation is 2 mm. The capacitance of this capacitor is

a) 210 nF.
b) 18 nF.
c) 8 nF.
d) 13 nF.
e) 53 nF.

capacitance C = ε0 A/r , ε0 = 8.854x10-12 , A = 3 m^2 , r = 2 mm = 0.002 , k=4
e) 53 nF.

Given dataDielectric constant, K = 4Area of the plate is, A = 3 m2Plate seperation is, d = 2 mm= (2 mm) (10-3 m / 1mm)= 2 * 10-3 mSolution:The capciatance of the capacitor is,C= ε0KA / d= (8.854 * 10-12 F/m) (4) (3 m2) / (2 * 10-3 m )= 53.1 * 10-9 F˜ 53 nFOption (e) is correct

capacitance C = ε0 A/r , ε0 = 8.854x10-12 , A = 3 m^2 , r = 2 mm = 0.002 , k=4
e) 53 nF.

a) 210 nF.
a) 210 nF.

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