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^Radiation pressure

^Radiation pressure

The force exerted by electromagnetic wave on unit area of the surface is called radiation pressure (P). It is defined as

If an EM wave of energy U incident normally on a surface of area A then the radiation pressure exerted by the EM wave on the surface is

^Linear momentum of the EM wave

^Linear momentum of the EM wave

EM waves carry energy and momentum. If a portion of EM wave of energy U propagates with speed c, then linear momentum of the EM wave is

^Poynting vector

^Poynting vector

Poynting vector  gives intensity of EM – wave & is defined as:   SI unit : W/m2

^Intensity of EM waves

^Intensity of EM waves

Intensity of EM wave is defined as the average energy crossing per second per unit area perpendicular to the direction of propagation of electromagnetic wave. i.e.

^Total energy density of EM waves

^Total energy density of EM waves

Total energy (u) of EM waves

^Magnetic energy density of EM waves

^Magnetic energy density of EM waves

Magnetic energy density (uB) of EM waves is

^Electric energy density of EM waves

^Electric energy density of EM waves

Electric energy density (uE) of EM waves is

^Speed of EM-waves

^Speed of EM-waves

Speed of EM wave depends only upon the electric and magnetic properties of medium & is given by

^Equation of EM-waves

^Equation of EM-waves

For an EM wave propagating along + X-axis is described by the mathematical functions

EY = E0 sin (ωt – kx), EX = 0 & EZ = 0 &

BZ = B0 sin (ωt – kx), BX = 0 & BY = 0

^Propagation of EM-waves

^Propagation of EM-waves

EM waves propagate such that E & B vectors

1. are always in phase

2. vary sinusoidally at right angles to each other as well as it right angles to direction of (DOP) & thus EM waves are transverse.

DOP is in the direction given by

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