Question

If ?⃗⃗ = 5 cos (?? + ??)?̂ V/m is given in free space and the time period is 50 ns,

(a) show that this electric field can exit (find the condition),

(b) determine the magnetic field intensity, and

(c) the direction of power flow.

Answer #1

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In free space, the electric field intensity ? = 20 cos (ωt-50x)
?̂ V/m. ?̂ is the unit vector along y-axis.
Calculate
(i) Displacement current density (?? ?? ).
(ii) Magnetic Field intensity (?)
(iii) Angular frequency (ω).
Assume ? 0 = 4? × 10( −7) and ? 0 = 8.854 × 10 (−12) ?/?

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
it travels through vacuum along the positive x direction.
The peak value of the electric field is 2.10 mV/m, and it is
directed along the positive y direction.
(a) Find the wavelength.
m
(b) Find the period.
ns
(c) Find the maximum value of the magnetic field.
pT
(d) Write expressions in SI units for the space and time variations
of the electric field. (x is in meters, and t...

A laser produces an electromagnetic wave with a maximum electric
field strength of 1.00×1011 V / m for a time of 1.00 ns.
(a) What is the maximum magnetic field strength in the wave? (b)
What is the intensity of the beam? (c) What energy does it deliver
on a 1.00-mm2 area?

A region of space has a uniform electric field of magnitude
5.9x10^3 V/m directed vertically and a uniform magnetic field of
magnitude 1.93T directed horizontally. Determine the speed of a
charged particle that can move through this region of space in a
straight line that is perpendicular to both fields.

A
proton with speed v = 4.7x106 m/s in the x-y plane and mass mp =
1.67x10-27 kg is injected into a uniform magnetic field region that
points in the positive z-direction. The proton also has a component
of velocity 1.1 × 106 m/s along the B field direction. The magnetic
field intensity is B = 0.35 T. (a) (25 points) Draw a good physics
diagram. Use appropriate perspective(s) for your diagram. (b) (50
points) Find the radius of the...

A plane electromagnetc sinusoidal wave of frequency 40 MHz
tavels free space in the x-direction. at some point and at some
instant, the electric field E has its maximum
value of 700 N/C and is along the y-axis. (a.) draw an illustration
of the electromagnetic wve in a coordinate system, and determine
the wavelength and period of the wave. (b.) calculate the magnitude
and direction of the magnetic field B when E= 700
N/C in the x-direction. (c) what is...

In a certain region of space the electric potential is
given by V=+Ax2y−Bxy2, where A =
5.00 V/m3 and B = 8.00 V/m3.
Calculate the magnitude of the electric field at the
point in the region that has cordinates x =
2.20 m, y = 0.400 m, and z =
0
Calculate the direction angle of the electric field at
the point in the region that has cordinates x =
2.20 m, y = 0.400 m, and z =
0.

At a certain instant in time, the electric field of an
electromagnetic wave in free space points in the -z
direction, and the magnetic field points in the +y
direction. In what direction is this wave traveling?
A) +x direction ___B) -x direction ___ C)
+y direction ___D) -z direction ___E) +z
direction ___
Please explain why you chose your answer

A proton with speed v = 4.7x106 m/s in the x-y plane and mass mp
= 1.67x10-27 kg is injected into a uniform magnetic field region
that points in the positive z-direction. The proton also has a
component of velocity 1.1 × 10 m/s along the B field direction. The
magnetic field intensity is B = 0.35 T. (a) Draw a good physics
diagram. Use appropriate perspective(s) for your diagram. (b) Find
the radius of the orbit. (c) Find the...

The electric field of an electromagnetic wave in a vacuum is
Ey=(18.0 V/m)cos((4.18 ×10^8)x−ωt), where x is in m and t is in
s.
What is the wavelength, frequency, and magnetic field amplitude
of the wave?

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