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Question

A parallel plate capacitor with air between the plates has a capacitance of 10μF. 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:


A
10μF
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B
20μF
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C
30μF
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D
40μF
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Solution

The correct option is C 30μF
Capacitor filled with air,
10μF=Aϵ0/d
C1=(A/2×ϵ0×κ1)/d=Aϵ0/d=10μF
C2=(A/2×ϵ0×κ2)/d=2Aϵ0/d=20μF
As they are connected in parallel,
Cnet=C1+C2=30μF

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