A parallel plate capacitor is of area \( 6 \mathrm{~cm}^{2} \) and a separation \( 3 \mathrm{~mm...

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A parallel plate capacitor is of area \( 6 \mathrm{~cm}^{2} \) and a separation \( 3 \mathrm{~mm} \). The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants \( K_{1}=10, K_{2}=12 \) and \( K_{3}=14 \). The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be
(a) 36
(b) 14
(c) 12
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