Q.

A parallel plate capacitor has plate area 100 m2  and plate separation of  10 m . The space between the plates is filled up to a thickness 5 m  with a material of dielectric constant of 10. The resultant capacitance of the system is ' x '  pF. The value of  ε0=8.85×1012 Fm1. The value of '  x ' to the nearest integer is_______

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answer is 161.

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Detailed Solution

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 A=100 m2
Using  C=k0Ad
C1=10ϵ0(100)5 =200ϵ0
C2=ϵ0(100)5=20ϵ0
C1 & C2  are in series so  Ceqv. =C1C2C1+C2 =4000ϵ0220=160.9×1012161pF

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