First slide

Nature of electromagnetic wave

Question

In an apparatus the electric field was found to oscillate with an amplitude of 18 Vm^-1. The rms value of the oscillating magnetic field is

Moderate

A

6 × 10^-8 T
B

4.23 × 10^-8 T
C

9 × 10^-8 T
D

7.0 × 10^-8 T

Solution

$\begin{array}{rcl} C & = & \frac{E_{0}}{B_{0}}; \\ B_{0} & = & \frac{E_{0}}{C} = \frac{18}{3 x 10^{8}} = 6 x 10^{- 8} \\ B_{rms} & = & \frac{B_{0}}{\sqrt{2}} = \frac{6 x 10^{- 8}}{\sqrt{2}} = 4.24 x 10^{- 8} T \end{array}$

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