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Chapter 31: Q. 9 (page 901)

What capacitance, in μF, has its potential difference increasing at 1.0×106V/swhen the displacement current in the capacitor is 1A?

Short Answer

Expert verified

Required capacitance is 1μF

Step by step solution

01

Given Information:

We been given that the rate of change of potential difference is dvcdt=1.0×106V/s

Displacement Current = Id= 1A

02

Solving:

Relation for Displacement current against rate of change of potential difference is given by:

Id=cdvcdtEquation

Also we been given:

dvcdt=1.0×106V/s

Getting the value of c from Equation 1:

c=Iddvcdt

Putting the values:

c=1.01.0×106

c=1.0×10-6F

Therefore, The required value of capacitance is 1μF

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