A small metallic ball is charged positively and negatively in a sinusoidally manner at a frequency of `10^6cps.` The maximum charge on the ball is `10^-6C`. What is the displacement current due to the alternating current?

Options

A. `6.28A`
B. `3.8A`
C. `3.75xx10^-4A`
D. `122.56A`

Answer

a

Explanation

Here, `v=10^6 cps, q_0=10^-6C, I_D=?`
As `I_D=(dq)/(dt)=d/(dt)(q_0sin omegat)=q_0omegat cos omegat`
for `I_D` to be maximum, `cos omegat=1`
So, maximum value `I_D=q_0omega=q_0(2piv)`
`=10^6xx2xx3.14xx10^6=6.28A`