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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=8.85×1012F.m1 
The value of ‘x’ to the nearest integer is ________.

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answer is 161.

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Detailed Solution

Given : A=100m2,d=10m,t=5m and k=10
Capacitance,  C=ε0Adt+t/k=8.85×1012×100105+5/10
=1.609×1010=160.9×10-12=161pF x=161

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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=8.85×10−12F.m−1 The value of ‘x’ to the nearest integer is ________.