A plane electromagnetic wave travels in free space along the...

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 = 6V{m}^{- 1}

along y-direction. Its corresponding magnetic field component,

B

would be:

Options

A $2 \times {10}^{- 8}T$ along z-direction
B $2 \times {10}^{- 8}T$ along y-direction
C $6 \times {10}^{- 8}T$ along z-direction
D $6 \times {10}^{- 8}T$ along x-direction

Correct answer

A. $2 \times {10}^{- 8}T$ along z-direction

Step-by-step solution

B = \dfrac{E}{C} = \dfrac{6}{3 \times {10}^{8}} = 2 \times {10}^{- 8}T

\overset{\to}{E} \times \overset{\to}{B}

is along

x

-direction

\overset{^}{j} \times \left(a\overset{^}{i} + b\overset{^}{j} + c\overset{^}{k}\right) = \overset{^}{i}

c = 1

\overset{\to}{B}

is along

\overset{^}{k}

B = 2 \times {10}^{- 8}T

along

z

-direction

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