Displacement Current

A parallel plate capacitor has two circular plates of radius $R$ each, separated by a distance $d$. The magnitude of the instantaneous electric field between the plates is given by $E=E_0\sin \omega t$, where $E_0$ and $\omega$ are positive constants. A positive value of $E$ corresponds to the upward direction as shown in the figure.

At $t=0$, the displacement current between the plates is

A long wire of radius $R$ is made of two different metals, depositing one metal over the other. The inner core occupies the region $r<R$ and the outer region $R<r\le 2R$. Because of difference in the conductivity of the two wires, only $10\%$of the total current flows through the inner core and the balance through the second metal. The current density in each metal is constant.

The magnetic field at a distance $r=\frac{3R}{2}$ from the centre is

A parallel plate capacitor with plates of side$1 \mathrm{m}$ and plate separation $5 \mathrm{cm}$ is being charged by an external emf $20 \sin \left(4\mathrm{\pi }t\right)$ Volts. The displacement current (in Amperes) in the capacitor is

A parallel plate capacitor of plate dimensions $2 \mathrm{m}\times 2 \mathrm{m}$ is being charged by a current of $2 \mathrm{A}.$ In the region between the plates, the charging current produces a uniform electric field $\overrightarrow{E}$ perpendicular to the plates. The rate of change of the electric field strength with time $\left(\frac{dE}{dt}\right)$ is

Which of these is a correct definition of conventional current?

Displacement current is continuous:

Ampere's circuital law is given by:

According to Maxwell's hypothesis, a changing electric field give rise to

The charge of a parallel plate capacitor is varying as $q=q_0\mathrm{sin(}2\pi f\mathrm{t)}$. The plates are very large and close together (area$=A$, separation$=d$). Neglecting the edge effects, the displacement current through the capacitor is

Instantaneous displacement current of $1.0 \mathrm{A}$ in the space between the parallel plate of $1 \mathrm{\mu F}$ capacitor can be established by changing potential difference at a rate of

If the magnetic monopole exists, then which of the Maxwell’s equation has to be modified?

The net magnetic flux of a magnetic field passing through a closed surface is

Which Maxwell's equation confirms the absence of magnetic monopole?

Which of the following equations represent Maxwell's first equation?

The net magnetic flux of a magnetic field passing through a closed surface is

Which Maxwell's equation confirms the absence of magnetic monopole?

A capacitor is having a capacity of $2\mathrm{pF}$. Electric potential across the capacitor is changing with a rate of ${10}^{12} \mathrm{V}/\mathrm{s}$. The displacement current is:

Displacement current flows in

To get displacement current of $1 \mathrm{A}$, what is the rate of change of the potential difference between $2 \mathrm{\mu F}$ capacitor plates?

The electric field part of an electromagnetic wave in vacuum is

$E=3.1 \mathrm{N} {\mathrm{C}}^{-1}$$\cos \left[\left(1.8 rad {\mathrm{m}}^{-1}\right)y+\left(5.4\times {10}^8 rad {\mathrm{s}}^{-1}\right)t\right]\hat{\mathrm{i}}$

The wavelength of this part of electromagnetic wave is,