Question

Question no 14

We associated energy and linear momentum with electromagnetic wave.
Is angular momentum present also?

Answer #1

Yes, whenever linear momentum is present,

Angular momentum also manifests itself

in fact there can be torque also due to electromagnetic field .

Thus electromagnetic field can cause a physical rotation effect .

This can be demonstrated in a coaxial cylinder solenoid system
where inner cylinder has charge density +
and outer cylinder has same amount negative linear charge density,
and outer cylinder has a current varying with time,

, where
is charge per unit length , k = current initial value , from which
current gradually reduces to 0 at a rate
, b = radius of outer cylinder and a radius of inner cylinder
.

question 7
"
displacement currents are present in a travelling electromagnetic
wave and we may associate the magnetic field component of the wave
with these currents." is this statement true? Discuss it in.
detail

Compute the linear momentum and angular momentum of a Frisbee of
mass 0.168 kg if it has a linear speed of 2.05 m/s and an angular
velocity of 56.5 rad/s. Treat the Frisbee as a uniform disk of
radius 13.5 cm. linear momentum angular momentum

A plane electromagnetic wave, with wavelength 4.0 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 270 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 2.5 m, travels in
vacuum in the positive direction of an x axis. The electric field,
of amplitude 270 V/m, oscillates parallel to the y axis. What are
the (a) frequency, (b) angular frequency, and (c) angular wave
number of the wave? (d) What is the amplitude of the magnetic field
component? (e) Parallel to which axis does the magnetic field
oscillate? (f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 3.9 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 360 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave with linear polarization of frequency 450 THz (450 × 10¹² Hz) propagates in a vacuum along the positive X axis. The amplitude of the electromagnetic wave is ‖?⃗ ‖ = 500 V / m. At x = 0 and at time t = 0 we have: ?⃗ (? = 0, ? = 0) = [0; 150√2; 200√2] ? / ?; 0 <? <?/2
In this context, determine:
(a) The general form of the function of the...

At some instant and location, the electric field associated with
an electromagnetic wave in vacuum has the strength 99.3 V/m. Find
the magnetic field strength ?, the total energy density ?, and the
power flow per unit area, all at the same instant and location.

At
some instant and location the electric field associated with an
electromagnetic wave in vacuum has the strength 87.5 V/m. Find the
magnetic field strength (T), the energy density (J/m3), and the
power flow per unit area (W/m2), all at the same instant and
location.

A photon, a packet of electromagnetic radiation, carries both
energy and momentum. Consider a photon with a wavelength of 670. nm
in vacuum. What is the frequency of the photon?
What is the energy of the photon?
What is the momentum of the photon?

How is the total energy and angular momentum related to rigid
rotators?

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