3. The magnetic field of an electromagnetic wave is described by By = Bocos(kx - w), where B = 4.5 × 106Tand w = 6.5 × 107 rad/s.Randomized VariablesBo = 4.5 × 10-6 TW = 6.5 × 10 rad/sPart (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 VariablesC = 7.5 pFA = 3.05 mPart (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 interms of Uavg and the permeability of free space Ho-Bmax =Part (d) Solve for the numerical value of Bmax in tesla.Втах —

Given that, Magnetic field of an electromagnetic wave, By=B0Coskx-ωtwhere, B0=4.5×10-6 Tand…

Answered: 3. The magnetic field of an…

Similar questions

4. An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 1.20 x 10° W/m2. What is the rms value of the electric field in the electromagnetic wave emitted by the laser? N/C
4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2. a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by determining the frequency and the polarization along the x-, y, and z-axis. Find a direction along which the radiation is circularly polarized. b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0. c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of the magnetic force and its dependence on 0. d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying which new frequencies are observed, in which direction and with which polarization, and the modification of the scattered power.
An electromagnetic wave has a magnetic field amplitude of 0.001 T. What is the amplitude of the accompanying electric field (in N/C)? D a. 300,000 o b. 9 x 1013 D c. .001 o d. zero
Answer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.
www WiFi (microwaves) waves travel 100m in the x-direction from a transmitter to a computer. The maximum electric field at the computer is 77.5mV/m and points in the z-direction. The frequency of the WiFi system is 2.4GHz. a. At the computer, the magnetic field points in what direction? b. At the computer, what is magnitude of the maximum magnetic field? c. How much power is being transmitted by the WiFi transmitter? d. wwwmm How much time does it take for waves to travel from the WiFi transmitter to the computer?
4. A spotlight shines onto a square target of area 0.35 m?. If the average rms strength of the magnetic field in the EM waves of the spotlight is 1.2 x 107 T, calculate the energy transferred to the target if it remains in the light for 12 minutes. (Give answer in joules) F3 FB #3 2$ 4 & * 2 3 5 8 9 W E T U K
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?