If the magnetic field in a plane | EMF | JEE MAIN 2020

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JEE MAIN 2020

07-01-20 S1

Question

If the magnetic field in a plane electromagnetic wave is given by $\vec{B}=3 \times 10^{-8} \sin \left(1.6 \times 10^3 \mathrm{x}+48 \times 10^{10} \mathrm{t}\right) \hat{\mathrm{j}} \mathrm{T}$, then what will be expression for electric field?

Select the correct option:

A

$\vec{E}=\left(60 \sin \left(1.6 \times 10^3 x+48 \times 10^{10} t\right) \hat{k} \mathrm{~V} / \mathrm{m}\right)$

B

$\vec{E}=\left(3 \times 10^{-8} \sin \left(1.6 \times 10^3 \mathrm{x}+48 \times 10^{10} \mathrm{t}\right) \hat{\mathrm{i}} \mathrm{V} / \mathrm{m}\right)$

C

$\overrightarrow{\mathrm{E}}=\left(9 \sin \left(1.6 \times 10^3 \mathrm{x}+48 \times 10^{10} \mathrm{t}\right) \hat{\mathrm{k}} \mathrm{V} / \mathrm{m}\right)$

D

$\overrightarrow{\mathrm{E}}=\left(3 \times 10^{-8} \sin \left(1.6 \times 10^3 \mathrm{x}+48 \times 10^{10} \mathrm{t}\right) \hat{\mathrm{j}} \mathrm{V} / \mathrm{m}\right)$

✓ Correct! Well done.

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