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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=10, K2=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

4

b

14

c

12

d

36

answer is C.

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Detailed Solution

Consider three dielectric connected in parallel combinationCnet=C1+C2+C3 ⇒kA∈0d=k1A3∈0d+k2A3∈0d+k3A3∈0d ⇒kA∈0d=A∈03dk1+k2+k3 ⇒k=k1+k2+k33=12
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