A larger parallel plate capactior, whose plates have an area of `1m^(2)` are separated each other by `1` mm, is the plates has the dielectric constant `10`, then the displacement current at this instant is:

Options

A. `25muA`
B. `11muA`
C. `2.2muA`
D. `1.1muA`

Answer

C

Explanation

`i_(D)=epsilon_(0)epsilon_(r ) (d)/(dt) varphi_(E )`
`=epsilon_(0)epsilon_(r ) (d)/(dt) ((Q)/(A epsilon_(0)epsilon_(r ))A)`
`=(dQ)/(dt) =(d)/(dt)(CiV)`
`=C(dv)/(dt)`
`=(Aepsilon_(0)epsilon_(r))/(d) (dv)/(dt)`
`=(1m^(2)xx8.85xx10^(-12)xx10)/(1xx10^(-3))xx25`
`i=221.25 xx 10^(-8)A`
`i=2.21muA`