The electric field of a plane electromagnetic wave, travelling in an unknown nonmagnetic medium is given by, Ey = 20 (3 106 x - 4.5 1014 t ) V/m (where x, t and other values have S.I. units). The dielectric constant of the medium is (speed of light in free space is 3 108 m/s)
Answer
4
Solution
Comparing with Ey = E0 (kx - t): k = 3 106 m-1, = 4.5 1014 rad/s
Speed of the wave in the medium: v = k = 4.5 10143 106 = 1.5 108 m/s
For a nonmagnetic medium ( r = 1): v = c K
K = cv = 3 1081.5 108 = 2
K = 4
Answer: 4