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A plane electromagnetic wave of frequency 20 MHz travels in free space along the \(+x\) direction. At a particular point…

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A plane electromagnetic wave of frequency 20 MHz travels in free space along the \(+x\) direction. At a particular point in space and time, the electric field vector of the wave is \({\mathrm{E}}_{y}=9.3{\mathrm{Vm}}^{-1}\). Then, the magnetic field vector of the wave at that point is

a

\({\mathrm{B}}_{z}=1.55\times {10}^{-8}\mathrm{T}\)

b

\({\mathrm{B}}_{z}=9.3\times {10}^{-8}\mathrm{T}\)

c

\({\mathrm{B}}_{z}=3.1\times {10}^{-8}\mathrm{T}\)

d

\({\mathrm{B}}_{z}=6.2\times {10}^{-8}\mathrm{T}\)

✓ Correct answer: c)

\({\mathrm{B}}_{z}=3.1\times {10}^{-8}\mathrm{T}\)

Explanation

\(C=\frac{E}{B}\\ B=\frac{E}{C}\\ B=\frac{9.3}{3\times {10}^{8}}\\ B=3.1\times {10}^{-8}T\)

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