i) The energy density due to electric field $E$ is given as $\mathrm{uE}=1 / 2 \varepsilon_{0} \mathrm{E}^{2}$ The energy density due to magnetic field $B$ is givena as $\mathrm{uB}=1 / 2...
A plane EM wave travelling along z-direction is described by 
and 
Show that
i) the average energy density of the wave is given by 
ii) the time-averaged intensity of the wave is given by 
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to prove 
, prove that 
over the rectangular loop 1234 shown in the figure
over the surface bounded by loop 1234
is placed symmetrically along the z-axis and has radius 
. The cable consists of a thin wire and a co-axial conducting tube. An alternating current 
sin 
flows down the central thin wire and returns along the co-axial conducting tube. The induced electric field at a distance 
from the wire inside the cable is 
. In 
, 
has permittivity 
, permeability 
and resistivity 
. Imagine a parallel plate capacitor immersed in seawater and driven by an alternating voltage source 
What fraction of the conduction current density is the displacement current density?
is placed along the z-axis. The wire is set into motion along its length with a uniform velocity 
Calculate the pointing vectors 
parallel plate capacitor. How would you establish an instantaneous displacement current of 
in the space between its plates?
is given by 
is used in satellite communication
is used to kill germs in water purifies
is used to detect leakage of oil in underground pipelines
is used to improve visibility in runaways during fog and mist conditions
at a point in between the plates of a parallel plate capacitor during charging is 
is defined as a vector whose magnitude is equal to the wave intensity and whose direction is along the direction of wave propagation. Mathematically, it is given by 
. Show that nature of 
graph.
. What is the average intensity of the beam?
. The plates are very large and close together. Neglecting the edge effects, find the displacement current through the capacitor?
on it. Which of the following are true?
if the wave is totally absorbed
if the wave is totally reflected
if the wave is totally reflected
for real surface
. The electromagnetic waves produced:
-direction can have the following pairs of 
and 
-axis is given as: 
. Choose the correct options from the following a) the associated magnetic field is given as 
Choose the correct options from the following:
[energy of a particular transition in 
Fe nucleus associated with a famous high resolution spectroscopic method (Mössbauer spectroscopy)].
[temperature associated with the isotropic radiation filling all space-thought to be a relic of the ‘big-bang’ origin of the universe].
– 
[double lines of sodium]
(wavelength emitted by atomic hydrogen in interstellar space).
(frequency of radiation arising from two close energy levels in hydrogen; known as Lamb shift).
to obtain the characteristic temperature ranges for different parts of the electromagnetic spectrum. What do the numbers that you obtain tell you?
of the power of a 
light bulb is converted to visible radiation. What is the average intensity of visible radiation.
from the bulb?
? Assume that the radiation is emitted isotropically and neglect reflection.
![\left.\mathrm{N} / \mathrm{C}) \cos \left[(1.8 \mathrm{rad} / \mathrm{m}) \mathrm{y}+\left(5.4 \times 10^{6} \mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right]\right\}^{\wedge} \mathrm{i}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-aa0dc5ee496338ec62b17ccfc2c0969c_l3.png "Rendered by QuickLaTeX.com")
. Write an expression for the magnetic field part of the wave.
?
and amplitude 
. Show that the average energy density of the ![\left[\mathrm{c}=3 \times 10^{8} \mathrm{~m} \mathrm{~s}^{-1}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-96ac54c20f4c7b80bd9bf00b657be717_l3.png "Rendered by QuickLaTeX.com")
(for the energy of a quantum of radiation: photon) and obtain the photon energy in units of eV for different parts of the electromagnetic spectrum. In what way are the different scales of photon energies that you obtain related to the sources of electromagnetic radiation?
and that its frequency is 
.(a) Determine 
and 
and 
. What is the amplitude of the electric field part of the wave?
to 
bands. What is the corresponding wavelength band?
-rays of wavelength 
, the red light of wavelength 
and radiowaves of wavelength 
has a capacitance 
. The capacitor is connected to a 
ac supply with an (angular) frequency of 
. Determine the amplitude of 
from the axis between the plates.
and separated by 
. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. Is Kirchhoff’s first rule (junction rule) valid at each plate of the capacitor? Explain.