Two parallel plate of area A and separated by two different dielectric as shown in the figure. The net capacitance is

Question

Two parallel plate of area A and separated by two different dielectric as shown in the figure. The net capacitance is, 15 ε 0 A 4 d, 10 ε 0 A 7 d, 11 ε 0 A 5 d, 12 ε 0 A 3 d

MARKS App · Accepted Answer

Since, we know, Capacitance of a parallel plate capacitance, C = K ε 0 A d Where, symbols have their usual meaning. In the given figure, 1 C n e t = 1 C 1 + 1 C 2 = 1 K 1 ε 0 A d / 2 + 1 K 2 ε 0 A d / 2 = 1 3 ε 0 A d / 2 + 1 5 ε 0 A d / 2 = d 6 ε 0 A + d 10 ε 0 A = d 2 ε 0 A 1 3 + 1 5 = 8 d 15 × 2 × ε 0 A = 4 d 15 ε 0 A Thus, C n e t = 15 ε 0 A 4 d

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