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:
10μF
20μF
30μF
40μF
A
30μF
B
40μF
C
10μF
D
20μF
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Solution
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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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