Electrostatics Question 801

Question: A capacitor has two circular plates whose radius are 8cm and distance between them is 1mm. When mica (dielectric constant = 6) is placed between the plates. The capacitance of this capacitor and the energy stored when it is given potential of 150 volt respectively are

Options:

A) 1.06×105F,1.2×109J

B) 1.068×109F,1.2×105J

C) 1.2×109F,1.068×105J

D) 1.6×109F,1.068×105J

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Area of plate=πr2=π×(8×102)2

=0.0201m2

and d=1mm=1×103m

Capacity of capacitor C=ε0εrAd=8.85×1012×6×0.02011×103

=1.068×109F Potential difference,

V=150 volt

Energy stored, U=12CV2=12×(1.068×109)×(150)2

=1.2×105J



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