STANDARD Physics Capacitance MCQ Question
A parallel plate capacitor is of area 6 cm² and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K₁ = 10, K₂ = 12 and K₃ = 14. The dielectric constant of a material which when fully inserted in the given capacitor, gives same capacitance would be
10
12
14
16
Correct Answer
Detailed Explanation
The given system can be considered to be a parallel combination of three capacitors C₁, C₂ and C₃. The equivalent capacitance, C' = C₁ + C₂ + C₃. Hence, K' = (K₁ + K₂ + K₃) / 3 = (10 + 12 + 14) / 3 = 12.
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