Maxwell's equation \(\oint\vec E\cdot d\vec l=\dfrac{-d\phi_B}{dt}\) is a statement of:
1. Ampere's law
2. Faraday's law of induction
3. Gauss' law of electricity
4. Gauss' law of magnetism

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

Instantaneous displacement current of \(2.0~\text A\) is set up in the space between two parallel plates of \(1~\mu \text{F}\)$$ capacitor. The rate of change in potential difference across the capacitor is:
1. \(3\times 10^{6}~\text{V/s}\)
2. \(4\times 10^{6}~\text{V/s}\)
3. \(2\times 10^{6}~\text{V/s}\)
4. None of these

In an electromagnetic wave, energy density associated with a magnetic field will be:

1. $\frac{1}{2}L{I}^2$

2. $\frac{B^2}{2{\mu }_0}$

3. $\frac{1}{2}{\mu }_0{B}^2$

4. $\frac{1}{2}\frac{q}{B^2}$

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

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