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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

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a

10 mF

b

20 mF

c

30 mF

d

40 mF

answer is C.

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Detailed Solution

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

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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