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`.

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

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 .

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 :

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

The magnetic field of a beam emerging from a filter facing a floodlight is given by B_0=12xx10^-8sin(1.20xx10^7 z-3.60 xx 10^15t)T . What is the average intensity of the beam?

The displacemnt of a particle inS.H.M. may be given by y = r sin (omegat + phi_0) . Show that if the time t is increased by (2pi)/omega the value of y remains unchanged.

A plane e.m. wave of frequency 25MHz travels in space along the x-axis. At a prticular point in space and time the electric vector vecE=6.3Vm^-1hatj . Calculate vecB at this point.

A plane e.m. wave of frequency 25MHz travels in space along the x-axis. At a prticular point in space and time the electric vector vecE=6.3Vm^-1hatj . Calculate vecB at this point.

A plane e.m. wave of frequency 40mHz travels in space along the x-direction.At some point, at some instant, the electric field vecE has its maximum value of 750NC^-1 in y-direction. What is the period of the wave?