Electromagnetic Waves

JEE Main level, single correct, medium

107 of 165

Question 107 of 165

A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E=6Vm−1E=6V{m}^{-1} along y-direction. Its corresponding magnetic field component, BB would be:

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Answer: (A) 2×10−8T2\times {10}^{-8}T along z-direction

B=EC=63×108=2×10−8TB=\dfrac{E}{C}=\dfrac{6}{3\times {10}^{8}}=2\times {10}^{-8} T
E⃗×B⃗\vec{E}\times \vec{B} is along xx -direction
j^×(ai^+bj^+ck^)=i^\hat{j}\times \left(a\hat{i}+b\hat{j}+c\hat{k}\right)=\hat{i}
c=1c=1
B⃗\vec{B} is along k^\hat{k}
B=2×10−8TB=2\times {10}^{-8} T along zz -direction

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