Question

A
150kW radio station broadcasts it’s signal uniformly in all
directions.

Part A. What is the average intensity of its signal at a
distance of 8.55km from the station?

Part B. What is the rms value of the electric field in this
radio wave?

Part C. If a 1.22m receiving antenna is oriented parallel to
the electric field of the radio wave, what rms voltage appears
between its ends?

Answer #1

A radio station transmits isotropically (that is to say in all directions) electromagnetic radiation at the frequency of 98.6 MHz. At a certain distance from the radial station the intensity of the wave is I = 0.291 W / m^2.
a) What will be the intensity of the wave at a quarter of the distance from the radio station?
b) What is the wavelength of the transmitted signal?
If the antenna power is 8 MW.
c) At what distance from...

FM radio station KRTH in Los Angeles broadcasts on an assigned
frequency of 101 MHz with a power of 50,000 W.
(a) What is the wavelength of the radio waves produced by this
station?
(b) Estimate the average intensity of the wave at a distance of
44.4 km from the radio transmitting antenna. Assume for the purpose
of this estimate that the antenna radiates equally in all
directions, so that the intensity is constant over a hemisphere
centered on the...

A radio antenna broadcasts a 1.0 MHz radio wave with 25 kW
power. Assume the radiation is emitted uniformly in all directions.
1) what is the wave's intensity 30 km from the antenna 2) what is
the electric field amplitude at this distance? PLEASE SHOW ALL
WORK

An AM radio transmitter broadcasts 46.0 kW of power uniformly in
all directions. Assuming all of the radio waves that strike the
ground are completely absorbed, and that there is no absorption by
the atmosphere or other objects, what is the intensity 33.0 km
away? (Hint: Half the power will be spread over the area of a
hemisphere.)
What is the maximum electric field strength at this distance?
Please show your work!

Problem 1. The emitting antenna of a 100 kW radio station
radiates equally in all directions. What are the magnitudes Emax
and Bmax (a) 100 m from the antenna and (b) 50 km from the antenna?
(c) For these two distances from the antenna, calculate the maximum
potential difference caused between the ends of a receiving antenna
that is 1.0 m long, assuming the antenna is aligned perfectly with
the electric field of the radio wave

An AM radio transmitter broadcasts 46.0 kW of power uniformly in
all directions.
(a) Assuming all of the radio waves that strike the ground are
completely absorbed, and that there is no absorption by the
atmosphere or other objects, what is the intensity (in W/m2) 28.0
km away? (Hint: Half the power will be spread over the area of a
hemisphere.) W/m2
(b) What is the maximum electric field strength (in V/m) at this
distance? V/m

Suppose a 20-kW radio station emits EM waves uniformly in all
directions.
Part A
How much energy per second crosses a 1.4 m2 area 1 km from the
transmitting antenna?
Express your answer to two significant figures and include the
appropriate units.
Part B
What is the rms magnitude of the
E⃗ field at this point, assuming
the station is operating at full power?
Express your answer to two significant figures and include the
appropriate units.
Part C
What is...

A
radio station broadcasts at 810 kHz. A.) What is the wavelength of
the radio waves? B.) If the magnetic field of an EM wave from the
radio station has a peak value of 5.44x10^(-9), what is the peak
value of the electric field? C.) How much energy is transported by
this wave across 30.0cm^2 in one hour?

The radio waves from your favorite radio station has a
wavelength of 366m. The station broadcasts with a total power of
40kW. The radio waves are hitting your car antenna which is 30km
away from the station’s transmitter.
a) What is the electric field strength of the radio waves at
your car antenna?
b) The radio receiver in your car uses a series RLC circuit to
tune in the radio station. The circuit has a resistance of 0.50W,
an inductance...

The broadcast transmitter transmits a sinusoidal radio signal at
a frequency of 95 MHz with a transmission power of 55 kW. The radio
signal is received at a distance of 2.5 km with a circular wire
antenna with a diameter of 18 cm. What is the maximum possible
electromotive force induced in the loop antenna, assuming that the
transmitted power is evenly distributed in all directions? Far from
the transmitter, the wave can be locally modeled as a planar wave....

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