Electromagnetic WavesMedium
Question
A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:
Options
A.Zero at all places
B.Constant between the plates and zero outside the plates
C.non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates
D.Zero between the plates and non-zero outside
Solution
Let the surface charge density be $\sigma = \frac{q}{A}$
Given $\frac{d\sigma}{dt} =$ constant
$\therefore\ \frac{d}{dt}\left( \frac{q}{A} \right) =$ constant $\Rightarrow \frac{l}{A}i =$ constant
It means displacement current is constant.
This system will act like a cylindrical wire.
The graph of magnetic field ( $B$ ) vs $r$ is
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