A radio station radiates power of 10^5watts uniformly over a hemisphere concentric with the station. Find the magnitude of Poynting vector and the amplitude of electric and magnetic field at a point 10 km from the radio station.
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Q: at one location on the Earth, the rms value of the magnetic field caused by solar radiation is 1.85…
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- A dish antenna having a diameter of 14.0 m receives (at normal incidence) a radio signal from a distant source as shown in the figure below. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.400 µV/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? T (b) What is the intensity of the radiation received by this antenna? W/m² (c) What is the power received by the antenna? W (d) What force is exerted by the radio waves on the antenna? NConsider a sinusoidal electromagnetic wave in vacuum whose electric field has only a z-component given by Ez = EmaxCos(ky +wt). Which statement is TRUE? The wave propagates in the positive z-direction. The wave propagates in the negative z-direction. The wave propagates in the positive y-direction. The wave propagates in the negative y-direction. The wave propagates in the positive x-direction. The wave propagates in the negative x-direction. The wave propagates in an unknown direction.WYGR-AM is a radio station that serves the Grand Rapids, Michigan, area. The main broadcast frequency is 1530 kHz. At a certain distance from the radio station transmitter, the magnitude of the magnetic field of the electromagnetic wave is 1.5 x 10-11 T. (a) Calculate the wavelength. m (b) What is the angular frequency? rad/s (c) Find the wave number of the wave. rad/m (d) What is the amplitude of the electric field at this distance from the transmitter? V/m
- A dish antenna with a diameter of 21.0 m receives (at normal incidence) a radio signal from a distant source. The radio signal is a continuous sinusoidal wave with amplitude Emax = 3.50 μV/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? (b) What is the intensity of the radiation received by this antenna? (c) What is the power received by the antenna?An electromagnetic wave in vacuum travels in the +x-direction with Emax = 455 V/m and a wavelength of 12.7 m. Calculate the x-component of its Poynting vector at x = 0, t = 0.13 μs. (Use c = 2.9979 × 108 m/s)A source of sinusoidal electromagnetic waves radiates uniformly in all directions. At a distance of 10.0 m from this source, the amplitude of the electric field is measured to be 3.20 N/C.
- Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, the distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.A sinusoidal electromagnetic wave of frequency 40.0 MHz travels in free space in the x direction as shown.(A) Determine the wavelength and period of the wave.Far enough from a source, the electric field and magnetic field are in spherical coordinates.is expressed as follows: E=(E0/r)sinusθsinus(wt-(w/c)r)θ̂ H = (√E0/ µ0 )(E0/r)sinusθsinus(wt-(w/c)r)∅̂ Find the total power emitted by this source.
- There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector. a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter. b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.A plane electromagnetic wave is traveling in a vacuum. The magnetic field is directed along the z-axis and given by: B, = 3.0µT sin ((1.0 × 107 )x - (3.0 × 1015 )t ) a) Determine the wavelength , of the wave. b) What is the frequency, f, of the wave in Hertz? c) Determine the maximum strength of the B-field. d) Determine the maximum strength of the E-field and it direction. e) Can you find a time and place when the B-field is zero? f) What is the strength of the E-field when the B-filed is zero?A source of electromagnetic waves radiates with power P uniformly in all directions. At some distance d from the source, the magnetic field amplitude of the waves is B0. What will the amplitude of the magnetic field be a distance d/4 away from the source, in terms of B0, P, d, e0, µ0, and/or c? Justify your answer. (see image)