The magnetic field in a plane electromagnetic wave is given as B = (3 10⁻⁷ ~T ) (3 10^4 x+9 10¹² t ) j The electric field of this wave is given as

Step-by-step solution

Given, Magnetic field in a plane EM wave, B= (3 10⁻⁷ ~T ) (3 10^4 x+9 10¹² t ) T Here, B₀=3 10⁻⁷ ~T Amplitude of electric field, aligned E₀ & =B₀ c & =3 10⁻⁷ 3 10^8 aligned E₀=90 Vm ⁻¹ From the given equation of B , it is clear that E M wave is travelling along negative direction of X - axis i.e. If n be the unit vector along the direction of electric field, then n j =- i Clearly, n = k Hence, E=E₀ (k x+ t) k =90 (3 10^4 x+9 10¹² t ) k Vm ⁻¹