The magnetic field in plane electromagnetic wave is given by `B_(y) = 4 xx 10^(-6) sin (0.2 xx 10^(4) y + 0.6 xx 10^(12) t ) `T, then find
(a) Frequency
(b) Wavelength
(c) Speed of the wave
(d) Expression for electric field part of the electromagnetic wave.

Explanation

(a) `f = (0.6 xx 10^(12))/(2pi ) = 9.55 xx 10^(10) `Hz
(b) `lambda= (2pi)/(k) = (2pi)/(0.2 xx 10^(4) ) = 3.14 x 10^(-3) `m
(c) `c =(omega)/(k ) = (0.6 xx 10^(12) )/(0.2 xx 10^(4)) = 3xx 10^(8) (m)/(s)`
( d) `bar(E) , = 3 xx 10^(8) xx 4 xx 10^(-6) sin (0.2 sin xx 10^(4) x + 0.6 xx 10^(12) t) bar(k) (N)/( C)`