A plane electromagnetic wave propagating in the x-direction has a wavelength of 5.0 mm. The electric field is in the y-direction and its maximum magnitude is `30V (m^-1)`. Write suitable equations for the electric and magnetic fields as a function of x and t.

Explanation

`omega = 2pi upsilon = (2pic)/(lambda) = (2pixx3xx10^(8))/(10xx10^(-3)) = 6pi xx 10^(10)`
`E_(0) = 50V//m`
`B_(0) = (E_(0))/(c ) = (50)/(3xx10^(8)) = (5)/(3) xx 10^(-7) T`
`E = E_(0)sin omega (t-(x)/(c ))`
`= 50sin 6pi xx 10^(10)(t-(x)/(c ))`
`b = B_(0)sin omega (t-(x)/(c ))`
=` (5)/(3) xx 10^(-7) sin 6pi xx 10^(10) (t-(x)/(c ))`