A `20 mu F` capacitor is being charged by some constant voltage source. When p.d. across capacitor changes with time at a rate 3 V/s, find conduction current in the wires joining battery with capacitor and displacement current in the space between the plates.

Options

A. 0, 0
B. `0, 60 mu A`
C. `60 mu A, 60 mu A`
D. `60 mu A, 0`

Answer

C

Explanation

Potential difference between the plates of a capacitor is
`V=(Q)/(C )`
`therefore Q=VC`
`therefore (dQ)/(dt)=C(dV)/(dt) " " (because " C = constant")`
`therefore i_(C )=C (dV)/(dt)`
`=20xx10^(-6)xx3`
`= 60xx10^(-6)A`
`i_(C )=60mu A`
`rArr i_(d) = 60 mu A " " (because i_(C )= i_(d))`