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