A plane electromagnetic wave of frequency 20MHz propagates in free...

A plane electromagnetic wave of frequency

20MHz

propagates in free space along

x

-direction. At a particular space and time

\overset{\to}{E} = 6 . 6\overset{^}{j}V{m}^{- 1}

. What is

\overset{\to}{B}

at this point? A plane electromagnetic wave of frequency 20MHz propagates in free space along x -direction. At a particular space and

Options

A $2 . 2 \times {10}^{- 8}\overset{^}{k}T$
B $- 2 . 2 \times {10}^{- 8}\overset{^}{i}T$
C $- 2 . 2 \times {10}^{- 8}\overset{^}{k}T$
D $2 . 2 \times {10}^{- 8}\overset{^}{i}T$

Correct answer

A. $2 . 2 \times {10}^{- 8}\overset{^}{k}T$

Step-by-step solution

It is given that

$\overset{\to}{E} = 6 . 6\overset{^}{j} ( V{m}^{- 1} )$ .

The relation between the electric, magnetic field and speed of light is $\overset{\to}{E} \times \overset{\to}{B} = \overset{\to}{c}$ .
A plane electromagnetic wave of frequency 20MHz propagates in free space along x -direction. At a particular space and
Clearly, $\overset{\to}{B} = {B}_{0} ( \overset{^}{k} )$

Using the relation,
$c{B}_{0} = E$
$⇒ {B}_{0} = \left(\dfrac{E}{c}\right) = \dfrac{6 . 6}{3 \times {10}^{8}} = 2 . 2 \times {10}^{- 8}T$

Practice Electromagnetic Waves on Quantrex Academy →

More from Electromagnetic Waves

The electric field associated with an electromagnetic wave travelling in vacuum is given… JEE Advanced 2026 A monochromatic source of light operating at 15 kW emits 2.5× 10^ 22 photons/s. The… JEE Main 2026 For an electromagnetic wave propagating through vacuum, k , E and ω represent propagation… JEE Main 2026 A point light source emits E.M. waves in free space. A detector, placed at a distance of… JEE Main 2026 A displacement current of 4.0 A can be set up in the space between two parallel plates of… JEE Main 2026 A magnetic field vector in an electromagnetic wave is represented by B =B_0 (2π vt-(2π… JEE Main 2026 An electromagnetic wave travels in free space along the x -direction. At a particular… JEE Main 2026 An electromagnetic wave travelling in x -direction is described by field equation E_y =… JEE Main 2026 Full Electromagnetic Waves list All JEE Main PYQs