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Q.

A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1 ,k2 ,k3 and k4 as shown in the figure. lf a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by :

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a

2k=3k1+k2+k3+1k4

b

1k=1k1+1k2+1k3+32k4

c

k=k1+k2+k3+3k4

d

k=23k1+k2+k3=2k4

answer is A.

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Detailed Solution

Put k1=k2=k3=k4 and check answer.

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A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1 ,k2 ,k3 and k4 as shown in the figure. lf a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by :