In a plane electromagnetic wave the electric field oscillates sinusoidally at a frequency `3xx10^10Hz` and amplitude `50V//m`. (a) What is the wavelength of the wave? (b) What is the amplitude of the oscillating magnetic field?

Explanation

Frequency v `=3xx10^(10) ` Hz `E_(0)=50 V m^(-1)`
(a) Wavelength ,
`lambda = (c )/(v) = (3xx10^(8))/(3xx10^(10))= 10^(-2)m =1 cm `
(b) Amplitude of oscillating magnetic field
`B_(0)=(E_(0))/( c) = (50)/(3xx10^(8))=1.67 xx10^(-7)` T