Advertisements
Advertisements
Question
If `vecE` and `vecB` represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of the electromagnetic wave is along ______.
Options
`vecE`
`vecB`
`vec(B) × vec(E)`
`vecE × vecB`
Solution
If `vecE` and `vecB` represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of the electromagnetic wave is along `underlinebb(vecE × vecB)`.
Explanation:
A changing electric field produces a changing magnetic field and vice versa which gives rise to a transverse wave known as electromagnetic wave. The time-varying electric and magnetic fields are mutually perpendicular to each other and also perpendicular to the direction of propagation of this wave. The electric vector is responsible for the optical effects of an EM wave and is called the light vector.
The direction of propagation of the electromagnetic wave is perpendicular to both electric field vector `vecE` and `vecB` magnetic field vector B, i.e., in the direction of `vecE xx vecB`.
Here, the electromagnetic wave is along the z-direction which is given by the cross product of `vecE` and `vecB`.
RELATED QUESTIONS
Draw a schematic sketch of the electromagnetic waves propagating along the + x-axis. Indicate the directions of the electric and magnetic fields
Suppose that the electric field part of an electromagnetic wave in vacuum is
`vec"E" = {(3.1"N"/"C") cos[(1.8 ("rad")/"m")"y" + (5.4 xx 10^8 ("rad")/"s")"t"]}hat"i"`
(a) What is the direction of propagation?
(b) What is the wavelength λ?
(c) What is the frequency v?
(d) What is the amplitude of the magnetic field part of the wave?
(e) Write an expression for the magnetic field part of the wave.
Identify the electromagnetic waves whose wavelengths vary as:
(a) 10–12 m < λ < 10–8 m
(b) 10–3 m < λ < 10–1 m
Write one use for each.
Write the expression for speed of electromagnetic waves in a medium of electrical permittivity ε and magnetic permeability μ.
Speed of electromagnetic waves is the same
Define frequency modulation and state any one advantage of frequency modulation (FM) over amplitude modulation (AM).
Let E = E0 sin[106 x -ωt] be the electric field of plane electromagnetic wave, the value of ω is ______.
The magnetic field of a plane electromagnetic wave travelling in +ve z-direction is described by ______.
Wavelength λ and wave vector k are related by ______.
Which of the following electromagnetic radiations has the smallest wave length?