3. The magnetic field of an electromagnetic wave is described by By = Bocos(kx - wt), where Bo = 4.5 × 10-6 %3D T and w = 6.5 × 107 rad/s. Randomized Variables Bo = 4.5 × 10-6I w = 6.5 × 107 rad/s Part (a) What is the amplitude of the corresponding electric field oscillations, Eo, in terms of Bo? Eo = Part (b) Calculate the electric field Eo in volts per meter. Eo = Part (c) What is the frequency of the electromagnetic wave, f, in terms of w? f = Part (d) What is the wavelength of the electromagnetic wave, A, in terms of w and the speed of light c? Part (e) Calculate the wavelength A in meters.

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3. The magnetic field of an electromagnetic wave is described by By = Bocos(kx - w), where B = 4.5 × 106
Tand w = 6.5 × 107 rad/s.
Randomized Variables
Bo = 4.5 × 10-6 T
W = 6.5 × 10 rad/s
Part (a) What is the amplitude of the corresponding electric field oscillations, E, in terms of Bo?
Eo =
Part (b) Calculate the electric field En in volts per meter.
Eo =
Part (c) What is the frequency of the electromagnetic wave, f, in terms of w?
f =
Part (d) What is the wavelength of the electromagnetic wave, A, in terms of w and the speed of light c?
Part (e) Calculate the wavelength A in meters.
Transcribed Image Text:3. The magnetic field of an electromagnetic wave is described by By = Bocos(kx - w), where B = 4.5 × 106 Tand w = 6.5 × 107 rad/s. Randomized Variables Bo = 4.5 × 10-6 T W = 6.5 × 10 rad/s Part (a) What is the amplitude of the corresponding electric field oscillations, E, in terms of Bo? Eo = Part (b) Calculate the electric field En in volts per meter. Eo = Part (c) What is the frequency of the electromagnetic wave, f, in terms of w? f = Part (d) What is the wavelength of the electromagnetic wave, A, in terms of w and the speed of light c? Part (e) Calculate the wavelength A in meters.
1. When in resonance, an LC circuit with a 7.5 pF capacitor emits radiation at a wavelength of 3.05 m.
Randomized Variables
C = 7.5 pF
A = 3.05 m
Part (a) What is the resonant frequency in Hz?
f =
Part (b) What inductance is in series with the capacitor in µH?
L=
2. The intensity of an electromagnetic wave is /= 420 W/m2.
Part (a) Find the average energy density per unit volume, Uave, in terms of /and the speed of light C.
Uave =
Part (b) Solve for the numerical value of Uava in J/m³.
Uavg =
Part (c) Find an equation for the square of the maximum magnitude of the magnetic field of the wave in
terms of Uavg and the permeability of free space Ho-
Bmax =
Part (d) Solve for the numerical value of Bmax in tesla.
Втах —
Transcribed Image Text:1. When in resonance, an LC circuit with a 7.5 pF capacitor emits radiation at a wavelength of 3.05 m. Randomized Variables C = 7.5 pF A = 3.05 m Part (a) What is the resonant frequency in Hz? f = Part (b) What inductance is in series with the capacitor in µH? L= 2. The intensity of an electromagnetic wave is /= 420 W/m2. Part (a) Find the average energy density per unit volume, Uave, in terms of /and the speed of light C. Uave = Part (b) Solve for the numerical value of Uava in J/m³. Uavg = Part (c) Find an equation for the square of the maximum magnitude of the magnetic field of the wave in terms of Uavg and the permeability of free space Ho- Bmax = Part (d) Solve for the numerical value of Bmax in tesla. Втах —
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