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A parallel -plate capacitor is to be des...

A parallel -plate capacitor is to be designed, using a dielectric of dielectric constant 3, so as to have a dielectric strength of `10Vm^(-2)`. If the voltage rating of the capacitor is 12kV, the minimum area of each plate required to have a capacitance of 80pF is

A

`10.5 xx 10^(-6) m^(2)`

B

`21.7 xx 10^(-6)m^(2)`

C

`25.0 xx 10^(-5)m^(2)`

D

`12.5 xx 10^(-5)m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`C= (k A epsi_(0))/(d)`
`E= (V)/(d)`
`C= (k A_(epsi_(s))E)/(V)`
`A= (CV)/(k_(epsi_(0)) E)= (80 xx 10^(-12) xx 12 xx 10^(2))/(5 xx 8.85 xx 10^(-12) xx 10^(9))`
`A= 21.7 xx 10^(-6)m^(2)`
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Knowledge Check

  • A parallel plate capacitor is filled with dielectrics. What is capacitance?

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