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. $\frac{q_{0}A\omega }{d}\cos \omega t$

In electromagnetic wave the phase difference between electric and magnetic field vectors $\overrightarrow{E}$ $and$ $\overrightarrow{B}$ is:

1. 0

2. $\mathrm{\pi }/2$

3. $\mathrm{\pi }$

4. $\mathrm{\pi }/4$

An electromagnetic wave going through the vacuum is described by $E=E_0\sin (kx-\omega t).$

Which is the following is/are independent of the wavelength?

In a plane E.M. wave, the electric field oscillates sinusoidally at a frequency of 2.5 $\times {10}^{10}$ Hz and amplitude 480 V/m.  The amplitude of the oscillating magnetic field will be:

1. $1.52\times {10}^{-8}$ $Wb/m^2$

2. $1.52\times {10}^{-7}$ $Wb/m^2$

3. $1.6\times {10}^{-6}$ $Wb/m^2$

4. $1.6\times {10}^{-7}$ $Wb/m^2$

The energy density of the electromagnetic wave in vacuum is given by the relation:

1. $\frac{1}{2}.\frac{E^2}{{\epsilon }_0}+\frac{B^2}{2{\mu }_0}$ 

2. $\frac{1}{2}{\epsilon }_0{E}^2+\frac{1}{2}{\mu }_0{B}^2$

3. $\frac{E^2+B^2}{C}$

4. $\frac{1}{2}{\epsilon }_0{E}^2+\frac{B^2}{2{\mu }_0}$

A lamp radiates power $P_0$ uniformly in all directions. The amplitude of electric field strength $E_0$ at a distance r from it is:

1. $E_0=\frac{P_0}{2{\mathrm{\pi \epsilon }}_0{\mathrm{cr}}^2}$

2. $E_0=\sqrt{\left\{\frac{P_0}{2{\mathrm{\pi \epsilon }}_{0}c{r}^2}\right\}}$

3. $E_0=\sqrt{\left\{\frac{P_0}{4{\mathrm{\pi \epsilon }}_0{\mathrm{cr}}^2}\right\}}$ 

4. $E_0=\sqrt{\left\{\frac{P_0}{8{\mathrm{\pi \epsilon }}_0{\mathrm{cr}}^{}}\right\}}$

The intensity of visible radiation at a distance of 1 m from a bulb of 100 W which converts only 5% of its power into light, is:

1. 0.4 W/m²

2. 0.5 W/m²

3. 0.1 W/m²

4. 0.01 W/m²

Which of the following statements about electromagnetic waves is/are correct:

1. A and B 
2. B and C
3. A, B and C
4. B only

Which of the following is not Maxwell's equation?
($\rho$= volume charge density, J = current density, m = pole strength, V = volume, S is closed surface, and C is closed loop)

The S.I. unit of displacement current is:
1. Henry
2. Coulomb
3. Ampere
4. Farad