answer all A uniform plane electromagnetic wave propagates in a lossless dielect

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A uniform plane electromagnetic wave propagates in a lossless dielectric medium. The electric field in the wave has the instantaneous expression E(z, ) = iy3 sin(3 pi .l09t + 100 pi z - 600), V/m. What is the frequency of the wave in Hz? What is the wavelength of the wave in m? What is the direction of propagation of the wave? What is the phase velocity of the wave? What is the relative refractive index of the wave? What is the polarization of the wave? The relative refractive index nr of a medium represents the wave slowness factor, i.e., nr = c/vph. The polarization of an electromagnetic wave refers to the locus of the tip of the electric field vector which is traced as t changes. Typically, the polarization is linear, circular (right or left circular about the direction of propagation), or elliptical (right or left elliptical about the direction of propagation)

Explanation / Answer

Comparing the given expression with

E(z,t) = E_o(sin(omega*t)+k*z-phase difference)

we get

1 . 3 *pi*10^(9)t = omega *t = 2*pi*frequency*t

frequency = 1.5 *10^(9) Hz

2 . 100*pi*z = k*z = 2*pi*z/lambda

lambda = 0.02 m

3 . -z direction

4 . Phase velocity = omega/k = 3 *pi*10^(9)/100*pi

= 3 *10^(7) m/s

5 . Relative refractive index = c/phase velocity

= 3 *10^(8)/3 *10^(7) = 10

6 . Polariztion : Left Elliptical (as phase difference is -60 )

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