Answer
$B = 9.43\times 10^{-10}~T$
Work Step by Step
We can find the amplitude of the magnetic field:
$B = \frac{E}{c}$
$B = \frac{\sqrt{2}~E_{rms}}{c}$
$B = \frac{(\sqrt{2})~(0.2~V/m)}{3.0\times 10^8~m/s}$
$B = 9.43\times 10^{-10}~T$
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