In an electromagnetic wave,the electric field vector and magnetic field vector are given as $\vec{E} = E_{0} \hat{i}$ and $\vec{B} = B_{0} \hat{k}$ respectively. The direction of propagation of the electromagnetic wave is along:

Suppose that the electric field of an electromagnetic wave in vacuum is $E = (3.1 \text{ NC}^{-1}) \cos [(1.8 \text{ rad m}^{-1}) y + (5.4 \times 10^6 \text{ rad s}^{-1}) t] \hat{i}$. What is the wavelength $\lambda$ (in $\text{ m}$)?

The velocity of an electromagnetic wave is parallel to:

$A$ plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y$-direction. At a particular point in space and time,$\overrightarrow{B} = 8.0 \times 10^{-8} \hat{z}\, T$. The value of electric field at this point is (speed of light $c = 3 \times 10^{8}\, m/s$). $\hat{x}, \hat{y}, \hat{z}$ are unit vectors along $x, y$ and $z$ directions.

The magnetic field of a beam emerging from a filter facing a floodlight is given by $B = 12 \times 10^{-8} \sin(1.20 \times 10^7 z - 3.60 \times 10^{15} t) \text{ T}$. What is the average intensity of the beam?

Show that the average value of radiant flux density $S$ over a single period $T$ is given by $S = \frac{1}{2c\mu_0}E_0^2$.