Poynting vectoors S is defined as a vector whose magnitude is equal to the wave intenstiy and whose direction is along the direction of wave propagation. Mathematically, it is given by `vecS=1/mu_0 vecExxvecB`. Show that the nature of S vs t graph.

The propagation vector of an electromagnetic wave is given by vec S = 2 hat i + 4 hat j + sqrt5 hat k Find the angle which the direction of propagation of the wave makes with X-axis.

Electromagnetic waves Electromagnetic waves are those waves in which there are sinusoidal variations of electric and magnetic fields at right angle to each other as well as right angle to the direction of propagation. The ratio of electric vector and magnetic vector gives the velocity of light and vecExxvecB gives the direction of propagation of electromagnetic wave. If vecE and vecB represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of electromagnetic wave is along.

A uniform magnetic field of 1.5 T exists in a cylindrical region of radius10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if, the wire in the N-S direction is lowered from the axis by a distance of 6.0 cm?

A uniform magnetic field of 1.5 T exists in a cylindrical region of radius10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if, the wire is turned from N-S to northeast-northwest direction,

An infinitely long thin wire carrying a uniform linear static charge density lambda is place along the z-axis (Fig. Ep 8.28). The wire is set into motion along its length with a uniform velocity vecv=v hatk_z . Calculate the poynting vector vecS=1/mu_0(vecExxvecB) .

Figure EP 10.19 shows a two slit arrangement with a source which emits unpolarised light. P is a polariser with axis whose direction is not given. If I_0 is the intenstiy of the principal maxima when no polariser is present, calculate in the present case, the intensity of the principal maxima as well as of the first minima.

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s^-1 in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^-3T cm^-1 along the negative x-direction (that is it increases by 10^-3T cm^-1 as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^-3T cm^-1 . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .

A short bar magnet of magnetic movement 5.25 xx 10^-2 J T^-1 is placed with its axis perpendicular to the earth’s field direction. At what distance from the centre of the magnet, the resultant field is inclinedat 45^@ with earth’s field on its normal bisector. Magnitude of the earth’s field at the place is given to be 0.42 G. Ignore the length of the magnet in comparison to the distances involved.

What is meant by the transverse nature of electromagnetic waves? Draw a diagram showing the propagation of an electromagnetic wave along the X-direction, indicating clearly the directions of the oscillating electric and magnetic fields associated with it.

In the following, find the components of the vector vec(PQ) along x and y directions whose magnitude is M, and makes an angle theta with the x-axis : M=15, theta=30^@ .