Question

The amplitude of the magnetic field of an electromagnetic wave in vacuum is \(B_0 = 510 \, \text{nT}\). What is the amplitude of the electric field of the wave? 
 

Hint:

In electromagnetic waves, the electric and magnetic fields are related by the speed of light: \( E_0 = c B_0 \).

Answer 1

The amplitude of the electric field (\(E_0\)) and magnetic field (\(B_0\)) are related by: \[ E_0 = c B_0, \] where \( c = 3 \times 10^8 \, \text{m/s} \). Substituting the values: \[ E_0 = 3 \times 10^8 \times 510 \times 10^{-9} = 153 \, \text{V/m}. \]