Home
Class 12
PHYSICS
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)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    PHYSICS WALLAH|Exercise LEVEL II|34 Videos

  • ELECTROMAGNETIC WAVES

    PHYSICS WALLAH|Exercise NEET Past 5 Years Questions|8 Videos

  • GENERAL PRINCIPLES AND PROCESSES OF ISOLATION OF ELEMENTS

    PHYSICS WALLAH|Exercise NEET Past 5 Years Questions|14 Videos

Similar Questions

Explore conceptually related problems

A parallel plate capacitor carries a harge Q. If a dielectric slab with dielectric constant K=2 is dipped between the plates, then

A parallel plate capacitor is to be designed with a voltage rating 1kV using a material of dielectric constant 10 and dielectric strength 10^(6)V/m .What minimum area of the plates is required to have a capacitance of 88.5pF ?

A parallel plate capacitor is charged to a certain voltage. Now if the dielectric material (with dielectric constant k ) is removed then the

A parallel plate capacitor is to be designed with a voltage rating 1 KV using a material of dielectrical constant 3 and dielectric strength about 10^(7) Vm^(-1) . [Dielectric strength is the maximum electric field a material can tolerate without break down, i.e, without starting to conduct electrically through partial ionisation. For safety, we should like the field never to exceed say 10% of the dielectric strength]. What minimum area of the plates is required to have a capacitance of 50 pF ?

A parallel plate capacitor is filled with dielectrics as shown in Fig. What is its capacitance ?

A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

A parallel plate capacitor with oil as a dielectric between the plates has a capacitance C. if the oil, with dielectric constannt (K=3), is removed, then the capacitance of the capacitor will be