First slide

Capacitance

Question

A parallel plate capacitor with air as medium between the plates has a capacitance 10 mF. The area of the capacitor is divided into two equal halves and filled with two media having dielectric constants K₁ = 2 and K₂ = 4. The capacitance of the system will be

Moderate

A

10 mF
B

20 mF
C

30 mF
D

40 mF

Solution

$C_{p} = (\frac{K_{1} + K_{2}}{2}) C_{0} = (\frac{2 + 4}{2}) x 10 = 30 mF$

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