A parallel plate capacitor is of area 6 c m 2 and a separation 3 m m . The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant K 1 = 10 , K 2 = 12 an

Question

A parallel plate capacitor is of area 6 c m 2 and a separation 3 m m . The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant K 1 = 10 , K 2 = 12 and K 3 = 14 . The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

TestHub · Accepted Answer

C = ∈ 0 A d C 1 = K 1 ∈ 0 A 3 d = K 1 C 3 C 2 = K 2 C 3 C 3 = K 3 C 3 C e q = K e q C = C 3 ( K 1 + K 2 + K 3 ) K e q = K 1 + K 2 + K 3 3 = 36 3 = 12

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