10. Obtain the expressions of electric and magnetic fields by
performing the mode analysis for TM...
10. Obtain the expressions of electric and magnetic fields by
performing the mode analysis for TM mode in two-side triangular
cross-section transmission pipes. Find the attenuation for the
dominant mode.
A proton travels through uniform magnetic and electric fields.
The magnetic field is in the negative x direction and has a
magnitude of 3.52 mT. At one instant the velocity of the proton is
in the positive y direction and has a magnitude of 2600 m/s. At
that instant, what is the magnitude of the net force acting on the
proton if the electric field is (a) in the positive z direction and
has a magnitude of 5.40 V/m, (b)...
A proton travels through uniform magnetic and electric fields.
The magnetic field is in the negative x direction and has
a magnitude of 3.50 mT. At one instant the velocity of the proton
is in the positive y direction and has a magnitude of 1830
m/s. At that instant, what is the magnitude of the net force acting
on the proton if the electric field is (a) in the
positive z direction and has a magnitude of 5.10 V/m,
(b)...
Compare and contrast Ampere's law for magnetic fields to Gauss's
law for electric fields (how they are similar, how they are
different). Include in your discussion why Gauss's law for magnetic
fields is not very useful. Please be detailed in your response and
demonstrate mastery of the concept of Ampere's law and how it is
used.
Electromagnetic theory 2
(a) Obtain the expressions for Ex and Ey for the transverse
electric case and show that they satisfy the condition Ell *= 0 on
the boundary.
(b) A rectangular metallic waveguide has dimensions, a = 3.0 cm
and b = 4.0 cm. Find out the modes (TE and TM) in which a free
space wavelength of 4.5 cm could propagate through it.
(c) A waveguide has an inside dimension of 6cm x 1cm. Find the
first 3...
Write the Gauss’s Law for magnetic fields, in details.
mathematical expressions (integral form only) and steps. Explain
each symbol, each detail in each of these equations – by words.
Draw sketches when they are necessary for your explanation.
Consider a single coil carrying a current I.
a. What are the electric and magnetic fields at the center of
the coil?
b. Now suppose the coil is moving at a speed v perpendicular to
its axis. What are the electric and magnetic fields at the center
of the coil?
c. What is the physical origin of the electric field you just
found? Where are the charges?
An electron moves in crossed electric and magnetic
fields on a spiral (helical) trajectory. What are the values of the
respective magnetic and electric fields, so that the radius of a
helix is 10cm, and its a pitch (vertical height of one complete
helix turn) is 1 cm. Hint: approximate the motion as a circular
motion is XY only due to magnetic field and motion in Z direction
only due to electric field.
An electron moves in crossed electric and...
You can use either electric or magnetic fields to steer moving
charges. Suppose you have a beam of electrons moving in the
xdirection with speed 1.0×107 m/s, and you want them to turn 30° to
their right in a distance of 1.00 cm.(a) [2 pts.] One way to turn
the electrons is to run them between two charged plates that are
1.00 cm wide. There will be a uniform electric field between the
plates. What direction does the electric field...