A plane EM wave travelling along z-direction is described by`vecE=E_0sin(kz-omegat)veci` and `vecB=B_0sin(kz-omegat)vecj`. Show that
The average energy density of the wave is given by
`U_(av)=1/4epsilon_0E_0^2+1/4B_0^2/mu_0`

A plane EM wave travelling along z-direction is described by vecE=E_0sin(kz-omegat)veci and vecB=B_0sin(kz-omegat)vecj . Show that The time averaged intensity of the wave is given by I_(av)=1/2cepsilon_0E_0^2 .

As elelctromagnetic wave travelling along z-axis is give as: E=E_0 cos(kz-omegat) . Choose the correct options from the following:

For a given a.c., I = I_0 sin omegat , show that the average power dissipated in a resistor R over a complete cycle is 1/2 I_0^2R .

Show that the energy density of em radiation is epsilon_0E^2 . Hence, find the intensity of radiations?

When a wave travels in a medium,the particle displacements are given by : y(x,t)=0.03 sin pi(2t-0.01x) where y and x are in m, etres and t in seconds.the wavelength of the wave is :

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 2.0 xx 10^10 Hz and amplitude 48 V m^-1 . Show that the average energy density of the E field equals the average energy density of the B field, [c = 3 xx 10^8 m s^-1 .]

In an a.c. circuit, the votlage applied is E = E_0 sin omegat . The resultig current in the circuit is I = I_0 sin (omegat - pi//2) . The power consumption in the circuit will be

An alternating voltage E=E_0 sin omegat is applied to a circuit containing a resistor R connected in series with a black box. The current in the circuit is found to be I = I_0 sin(omegat+pi/4) . State whether the element in the black box is a capacitor or indutor.

The plane ax+by=0 is rotated through an angle alpha about its line of intersection with the plane z=0 . Show that the equation to the plane in new position is ax+bypmzsqrt(a^2+b^2)tanalpha=0 .

How does the relation c=frac(1)(sqrt(mu_0 epsilon_0) indicate that the velocity of all types of e.m. waves in free space is the same?