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Q.

A parallel plate capacitor with air as medium between the plates has a capacitance of 10μF . The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant  k1=2 and k2=4 . The capacitance of the system will now be

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a

10μF

b

20μF

c

30μF

d

40μF

answer is C.

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Detailed Solution

CR=C1+C2=k1∈0A1d+k2∈0A2d =2×∈0A2d+4×∈0A2d Without dielectric,  Cair = ∈0Ad =10μF (given) =2×102+4×102=30μF
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A parallel plate capacitor with air as medium between the plates has a capacitance of 10μF . The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant  k1=2 and k2=4 . The capacitance of the system will now be