Question

The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is 6.0 × 10^-7 T. The maximum value of electric field in the electromagnetic wave is

• A. 6.0 × 10^-7 Vm^-1
• B. 180 Vm^-1
• C. 2 × 10¹⁵ Vm^-1
• D. 5 × 10¹⁴ Vm^-1

Answer 1

The Correct Option is B

In an electromagnetic wave, the amplitude of the electric field \( E_0 \) is related to the amplitude of the magnetic field \( B_0 \) by the equation: \[ E_0 = c B_0 \] where \( c \) is the speed of light (\( 3 \times 10^8 \, \text{m/s} \)). Given that the amplitude of the magnetic field is \( B_0 = 6.0 \times 10^{-7} \, \text{T} \), we can calculate \( E_0 \) as follows: \[ E_0 = (6.0 \times 10^{-7}) \times (3 \times 10^8) = 18 \times 10^1 = 180 \, \text{Vm}^{-1} \] Thus, the maximum value of the electric field is \( 180 \, \text{Vm}^{-1} \).