The electric field associated with an electromagnetic wave in vacuum is given by \(E=40 \cos \left(k z-6 \times 10^8 t\right)\), where \(E\), \(z\), and \(t\) are in volt/m, meter, and second respectively.
The value of the wave vector \(k\) would be:
1. \(2~\text{m}^{-1}\)
2. \(0.5~\text{m}^{-1}\)
3. \(6~\text{m}^{-1}\)
4. \(3~\text{m}^{-1}\)
1. | \(\left[{E}={E}_0 \hat{k}, {B}={B}_0 \hat{i}\right]\) |
2. | \(\left[E={E}_0 \hat{j}, ~{B}={{B}_0} \hat{j}\right]\) |
3. | \(\left[{E}={E}_0 \hat{j}, ~{B}={B}_0 \hat{k}\right]\) |
4. | \(\left[{E}={E}_0 \hat{i}, ~{B}={{B}_0} \hat{j}\right]\) |
The velocity of electromagnetic radiation in a medium of permittivity \(\varepsilon_0\) and permeability \(\mu_0\) is given by:
1. \(\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}\)
2. \(\sqrt{\mu_0 \varepsilon_0}\)
3. \(\frac{1}{\sqrt{\mu_0 \varepsilon_0}}\)
4. \(\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}\)
An EM wave is propagating in a medium with a velocity \(\overrightarrow{{v}}={v} \hat{i}\). The instantaneous oscillating electric field of this EM wave is along the \(+y\) axis. The direction of the oscillating magnetic field of the EM wave will be along:
1. \(-z \text-\)direction
2. \(+z \text-\) direction
3. \(-y \text-\) direction
4. \(+y \text-\) direction
Out of the following options which one can be used to produce a propagating electromagnetic wave?
1. | a stationary charge. |
2. | a chargeless particle. |
3. | an accelerating charge. |
4. | a charge moving at constant velocity. |
The velocity of electromagnetic wave is parallel to:
1. \(\vec{B} \times \vec{E}\)
2. \(\vec{E} \times \vec{B}\)
3. \(\vec {E}\)
4. \(\vec{B}\)
1. | Infrared region |
2. | Visible region |
3. | \(X\text-\)ray region |
4. | \(\gamma\text-\)ray region |
The charge of a parallel plate capacitor is varying as \(q = q_{0} \sin\omega t\). Find the magnitude of displacement current through the capacitor.
(Plate Area = \(A\), separation of plates = \(d\))
1. \(q_{0}\cos \left(\omega t \right)\)
2. \(q_{0} \omega \sin\omega t\)
3. \(q_{0} \omega \cos \omega t\)
4. \(\frac{q_{0} A \omega}{d} \cos \omega t\)
The energy density of the electromagnetic wave in vacuum is given by the relation:
1.
2.
3.
4.
The S.I. unit of displacement current is:
1. | Henry | 2. | Coulomb |
3. | Ampere | 4. | Farad |