A parallel plate capacitor consists of two circular plates each of radius 12 cm and separated by 5.0 mm. The capacitor is being charged by an external source. The charging current is constant and is equal to 0.15 A. The rate of change of the potential difference between the plates will be:

1.	\(1.873 \times 10^7 \mathrm{~V} / \mathrm{s}\)
2.	\(1.873 \times 10^8 \mathrm{~V} / \mathrm{s}\)
3.	\(1.873 \times 10^9 \mathrm{~V} / \mathrm{s}\)
4.	\(1.873 \times 10^{10} \mathrm{~V} / \mathrm{s}\)

A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be:
1. 1.34 V/m
2. 2.68 V/m
3. 4.02 V/m
4. 5.36 V/m

A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:

Instantaneous displacement current of 2.0 A is set up in the space between two parallel plates of \(1~\mu F\)$$ capacitor. The rate of change in potential difference across the capacitor is:

1. $3\times {10}^6$ $V/s$

2. $4\times {10}^6$ $V/s$

3. $2\times {10}^6$ $V/s$

4. None of these

Which statement is incorrect?

A capacitor is having a capacity of 2 pF. The electric potential across the capacitor is changing with a value of \(10^{12}~\mathrm{V/s}\). The displacement current is:

If a source is transmitting an electromagnetic wave of frequency $8.2\times {10}^6$ $Hz$, then the wavelength of the electromagnetic wave transmitted from the source will be:

If ${\epsilon }_0$ $and$ ${\mu }_0$ represent the permittivity and permeability of vacuum and $\epsilon$ $and$ $$ $\mu$ represent the permittivity and permeability of the medium, the refractive index of the medium is given by:

1. $\sqrt{\frac{{\epsilon }_0{\mu }_0}{\epsilon \mu }}$

2. $\sqrt{\frac{\epsilon \mu }{{\epsilon }_0{\mu }_0}}$

3. $\sqrt{\frac{\epsilon }{{\mu }_0{\epsilon }_0}}$

4. $\sqrt{\frac{{\mu }_0{\epsilon }_0}{\epsilon }}$

The magnetic field in a plane electromagnetic wave is given by

${\mathrm{B}}_{\mathrm{z}}=2\times {10}^{-7}$ $\sin$ $(0.5\times {10}^3\mathrm{x}-1.5\times {10}^{11}\mathrm{t}) T\mathrm{esla}$

The expression for the electric field will be: