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A plane electromagnetic wave of frequenc...

A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time `vecE=6.3hatj` V/m. The corresponding magnetic field `vecB`, at that point is `x xx 10^(-8)hatkT`. Find the value of x.

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To find the value of \( x \) in the magnetic field \( \vec{B} = x \times 10^{-8} \hat{k} \, \text{T} \) corresponding to the electric field \( \vec{E} = 6.3 \hat{j} \, \text{V/m} \), we can use the relationship between the electric field and magnetic field in an electromagnetic wave. ### Step-by-Step Solution: 1. **Identify the given values:** - Frequency \( f = 50 \, \text{MHz} = 50 \times 10^6 \, \text{Hz} \) - Electric field \( \vec{E} = 6.3 \hat{j} \, \text{V/m} \) ...
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