Question

179. In an electromagnetic wave in free space the root meansquare value of the electric field is Eᵣₘₛ = 6 V/m. Thepeak value of the magnetic field is
(1) 1.41 × 10⁻⁸ T
(2) 2.83 × 10⁻⁸ T
(3) 0.70 × 10⁻⁸ T
(4) 4.23 × 10⁻⁸ T

Answer 1

Thus the peak value of the magnetic field is Bo =2.83×10^−8 T

Explanation:

We are given that:

Eᵣ = 6 V/m

Eo / Bo =C

Eo = CBo

E(rms) = E0 / √2

E(rsm) √2 = CBo

Bo = Erms √2 / C

Bo = 6 × √2 / 3×10^8

Bo =2.83×10^−8 T

Thus the peak value of the magnetic field is Bo =2.83×10^−8 T