An electromagnetic wave is propagating in vacuum along x-axis, which is produced by oscillating charge of frequency `3 xx 10^(10)` Hz. The amplitude of magnetic field `(B_0)` is `1xx 10^(-7)` T along z-axis. Find
(a) Wavelength of the wave
(b) Propagation constant of the wave
(c) Equation for oscillating electric field and magnetic field.

Explanation

(a) `lambda =( c) /(f) = (3 xx 10^(8) ) /(3 xx 10^(10)) = 1 xx 10^(-2) m`
(b) `K = (2pi)/(lambda) =(2xx 3.14)/(10^(-2) ) = 6.28 xx 10^(2) 6= 628 m^(-1)`
(c) `E = CB_(0) sin(2pi xx 3 xx 10^(10) t - 628 x) overset(^)(j) (N)/(C )`
and `bar(B) = 1 xx 10^(-7) sin (6pi xx 10^(10) t - 628 x) overset(^)(k) T`