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One field (magnitude and direction) from the other in an EM wave, E = cB

This type of question, asked 11 times: 2021 Paper 5, 2021 Paper 9, 2021 Paper 21, 14 Jun 2022, 25 Jul 2022, 26 Jul 2022, 10 Apr 2023, 11 Apr 2023, 29 Jan 2024, 23 Jan 2025, 2 Apr 2026 S2. All 12 questions below, oldest first.

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  1. Question 1

    2021 Paper 5

    6
    A plane electromagnetic wave of frequency 500MHz500MHz is travelling in vacuum along yy-direction. At a particular point in space and time, B→=8.0×10−8z^T\overrightarrow{B}= 8.0 \times10^{- 8}\widehat{z}T. The value of electric field at this point is : (speed of light =3×108 ms−1= 3 \times10^{8}{\text{ }ms}^{- 1} ) x^,y^,z^\widehat{x},\widehat{y},\widehat{z} are unit vectors along x,yx,y and zz direction.

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  2. Question 2

    2021 Paper 9

    4
    A plane electromagnetic wave of frequency 100MHz100MHz is travelling in vacuum along the xx direction. At a particular point in space and time, B→=2.0×10−8k^T\overrightarrow{B}= 2.0 \times10^{- 8}\widehat{k}T. (where, k^\widehat{k} is unit vector along z-direction) What is E→\overrightarrow{E} at this point?

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  3. Question 3

    2021 Paper 21

    29
    A plane electromagnetic wave with frequency of 30MHz30MHz travels in free space. At particular point in space and time, electric field is 6 V/m6\text{ }V/m. The magnetic field at this point will be x×10−8 Tx \times10^{- 8}\text{ }T. The value of xx is

  4. Question 4

    14 Jun 2022

    13
    A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5×10−2Am−14.5 \times10^{- 2}Am^{- 1} at a point, what will be the approximate magnitude of electric field intensity at that point? (Given : permeability of free space μ0=4π×10−7\mu_{0}= 4\pi \times10^{- 7} NA−2NA^{- 2}, speed of light in vacuum c=3×108 ms−1c = 3 \times10^{8}{\text{ }ms}^{- 1} )

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  5. Question 5

    25 Jul 2022

    99
    Light wave traveling in air along xx-direction is given by Ey=540sin⁡π×104(x−ct)Vm−1E_{y}= 540\sin\pi \times10^{4}(x - ct)Vm^{- 1}. Then, the peak value of magnetic field of wave will be (Given c=3×108 ms−1c = 3 \times10^{8}{\text{ }ms}^{- 1} )

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  6. Question 6

    26 Jul 2022

    96
    The oscillating magnetic field in a plane electromagnetic wave is given by By=5×10−6sin⁡B_{y}= 5 \times10^{- 6}\sin 1000π(5x−4×108t)T1000\pi\left( 5x - 4 \times10^{8}t \right)T. The amplitude of electric field will be:

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  7. Question 7

    26 Jul 2022

    6
    The magnetic field of a plane electromagnetic wave is given by
    B→=2×10−8sin⁡(0.5×103x+1.5×1011t)j^T\overrightarrow{B}= 2 \times10^{- 8}\sin\left( 0.5 \times10^{3}x + 1.5 \times10^{11}t \right)\widehat{j}T
    The amplitude of the electric field would be

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  8. Question 8

    10 Apr 2023

    100
    The amplitude of magnetic field in an electromagnetic wave propagating along yy-axis is 6.0×10−7 T6.0 \times10^{- 7}\text{ }T. The maximum value of electric field in the electromagnetic wave is:

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  9. Question 9

    11 Apr 2023

    93
    A plane electromagnetic wave of frequency 20 MHzMHz propagates in free space along xx-direction. At a particular space and time, E→=6.6j^V/m\overrightarrow{E}= 6.6\widehat{j}V/m. What is B→\overrightarrow{B} at this point?

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  10. Question 10

    29 Jan 2024

    105
    A plane electromagnetic wave of frequency 35MHz35MHz travels in free space along the XX-direction. At a particular point (in space and time) E→=9.6j^V/m\overrightarrow{E}= 9.6\widehat{j}V/m. The value of magnetic field at this point is:

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  11. Question 11

    23 Jan 2025

    92
    A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field vector of the wave is Ey=9.3 Vm−1E_{y}= 9.3\ Vm^{-1}. Then, the magnetic field vector of the wave at that point is-

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  12. Question 12

    2 Apr 2026 S2

    12
    An electromagnetic wave travels in free space along the xx-direction. At a particular point in space and time, B→=2×10−7j^T\overrightarrow{B}= 2 \times10^{- 7}\widehat{j}T is associated with this wave. The value of corresponding electric field E→\overrightarrow{E} at this point is ____\_\_\_\_ V/m.

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