Machine-translated by Google. Questions are authored in English.
Top

Discussion

In a plane electromagnetic wave if the amplitude of oscillating electric field is 45 Vm-1 then the amplitude of the oscillating magnetic field is

  • A.\(2.5 \times 10^{-8}\) T
  • B.\(1.5 \times 10^{-7}\) T
  • C.\(3 \times 10^{-8}\) T
  • D.\(1.5 \times 10^{-8}\) T
  • E.\(2.5 \times 10^{-7}\) T

Answer: B

The magnetic field amplitude is \(1.5 \times 10^{-7}\) T.

In an electromagnetic wave the field amplitudes are related by \(E_0 = cB_0\).

\[ \begin{aligned} B_0 &= \frac{45}{3 \times 10^{8}} \\ &= 1.5 \times 10^{-7}\ \text{T} \end{aligned} \]

\(1.5 \times 10^{-8}\) T is the same digits with the power of ten slipped by one. The ratio \(\frac{E_0}{B_0} = c\) holds for any electromagnetic wave in vacuum, whatever its frequency.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.