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Q.

A parallel plate capacitor is of area 6cm2  and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants  K1=10K2=12   and  K3=14. The dielectric constant of a material which when fully inserted in above capacitor, gives equivalent  capacitance would be :

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a

36

b

12

c

14

d

4

answer is C.

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Detailed Solution

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Consider three dielectric connected in parallel combination

Cnet=C1+C2+C3 kA0d=k1A30d+k2A30d+k3A30d kA0d=A03dk1+k2+k3 k=k1+k2+k33=12

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