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JEE Main 20178 AprilOnline
Exam
JEE Main
Year
2017
Date
8 April
Mode
Online
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2017 · 8 April · Online · Physics · Electromagnetic Waves

Magnetic field in a plane electromagnetic wave is given by, → B = B...

Magnetic field in a plane electromagnetic wave is given by,

\overset{\to}{B} = {B}_{0}\sin \left(kx + \omegat\right)\overset{^}{j}T. Expression for corresponding electric field will be:

(Where cc is speed of light)

Options

  1. A\overset{\to}{E} = - {B}_{0}csin\left(kx + \omegat\right)\overset{^}{k}V{m}^{- 1}
  2. B\overset{\to}{E} = {B}_{0}csin\left(kx - \omegat\right)\overset{^}{k}V{m}^{- 1}
  3. C\overset{\to}{E} = {B}_{0}csin\left(kx + \omegat\right)\overset{^}{k}V{m}^{- 1}
  4. D\overset{\to}{E} = \dfrac{{B}_{0}}{c}\sin \left(kx + \omegat\right)\overset{^}{k}V{m}^{- 1}

Correct answer

C. \overset{\to}{E} = {B}_{0}csin\left(kx + \omegat\right)\overset{^}{k}V{m}^{- 1}

Step-by-step solution

For electromagnetic wave speed of light is given by

c=E0B0c = \dfrac{{E}_{0}}{{B}_{0}}
Electric field is expressed as E0=cB0,E→is⊥to directionxand directionofB→{E}_{0} = c{B}_{0}, \overset{\to}{E}is ⊥ \text{to direction}x\text{and direction}of\overset{\to}{B}

The expression of electric field is \overset{\to}{E} = c{B}_{0}\sin ( kx + wt ) \overset{^}{k}V{m}^{- 1}

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