Electromagnetic Waves

JEE Main level, numerical answer, medium

74 of 165

Question 74 of 165

A plane electromagnetic wave with a frequency of 30MHz30MHz travels in free space. At a particular point in space and time, the electric field is 6Vm−16V{m}^{-1}. The magnetic field at this point will be x×10−8Tx\times {10}^{-8}T. The value of xx is,

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Answer: 2

Recall the formula of the magnitude of the magnetic field in terms of the magnitude of the electric field, B=Ec=63×108=2×10−8TB=\dfrac{E}{c}=\dfrac{6}{3\times {10}^{8}}=2\times {10}^{-8}T, here cc is the speed of light in a vacuum.

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