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JEE Main 20204 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
4 September
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2020 · 4 September · Evening Shift · Physics · Electromagnetic Waves

The electric field of a plane electromagnetic wave is given by → E...

The electric field of a plane electromagnetic wave is given by \overset{\to}{E} = {E}_{0}\left(\overset{^}{x} + \overset{^}{y}\right)\sin \left(kz - \omegat\right). Its magnetic field will be given by

Options

  1. A\dfrac{{E}_{0}}{c}\left(- \overset{^}{x} + \overset{^}{y}\right)\sin \left(kz - \omegat\right)
  2. B\dfrac{{E}_{0}}{c}\left(\overset{^}{x} + \overset{^}{y}\right)\sin \left(kz - \omegat\right)
  3. C\dfrac{{E}_{0}}{c}\left(\overset{^}{x} - \overset{^}{y}\right)\sin \left(kz - \omegat\right)
  4. D\dfrac{{E}_{0}}{c}\left(\overset{^}{x} - \overset{^}{y}\right)\cos \left(kz - \omegat\right)

Correct answer

A. \dfrac{{E}_{0}}{c}\left(- \overset{^}{x} + \overset{^}{y}\right)\sin \left(kz - \omegat\right)

Step-by-step solution

As in electromagnetic wave electric field is always perpendicular to the magnetic field and both the fields oscillates perpendicularly to the direction pf propagation so E→×B→‖C→\overset{\to}{E} \times \overset{\to}{B} ‖ \overset{\to}{C}
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