A plane electromagnetic wave of frequency 35 MHz travels in free space along the x -direction. At a particular point (in space and time) E = 9.6j V/m. The value of magnetic field at this point is: (a) 9.6j T (b) 3.2× 10⁻⁸i T (c) 9.6× 10⁻⁸k T (d) 3.2× 10⁻⁸k T

Answer: (d). Magnitude: B = E/c = 9.63× 10⁸ = 3.2× 10⁻⁸ T. Direction: j = i needs B = k. So the answer is (d) 3.2× 10⁻⁸k T.

A plane electromagnetic wave of frequency 35 MHz travels in free… | JEE Main 2024 (29 Jan, Shift 2)

Q14JEE Main 2024 · 29 JAN · SHIFT 2Easy

Nature of EM Waves & Wave Equation

A plane electromagnetic wave of frequency $35\text{ MHz}$ travels in free space along the $x$ -direction. At a particular point (in space and time) $\vec{E} = 9.6\hat{j}\text{ V/m}$ . The value of magnetic field at this point is:

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Answer: (d)

Magnitude: $B = \frac{E}{c} = \frac{9.6}{3\times 10^{8}} = 3.2\times 10^{-8}\ \text{T}$ .
Direction: $\hat{j}\times\hat{B} = \hat{i}$ needs $\hat{B} = \hat{k}$ .
So the answer is (d) $3.2\times 10^{-8}\hat{k}$ T.

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Nature of EM Waves & Wave Equation question from JEE Main 2024 (29 Jan, Shift 2)

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