The magnetic field phasor of a plane wave traveling in a medium with intrinsic impeda equal to 100 2 is given by: H = (ŷ 10 + 2 20)e-i4x (mA/m) (a) Determine the associated electric field phasor.
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Q: (i) The magnetic field of a TEM plane wave in air can be written H = Ho exp j(2nft-ßx) â. Am¹ Use…
A: For simplicity , a^x = i^ , a^y = j^, a^z= k^ and i = −1Given:The EM wave in air is given asH→ =…
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Q: Tmagnetic field strength in
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Q: The magnetic field component of an EM wave propagating through a nonmagnetic medium (µ = µ0) is H H=…
A: The magnetic field component of an EM wave is : H=25 sin2×108t+6xay mA/m We know, The displacement…
Q: WOOD-AM is a radio station that serves the Grand Rapids, Michigan, area. The main broadcast…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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A: Frequency= 1680 kHz Magnetic field = 3.5 x 10-11 T
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A: By Maxwell's law we have, ∇×B→=J→+ε0∂E→∂t ...........(1) We know, E→=-ck^×B→ Here, k^=r^ Thus,…
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A: Wavelength=12 m amplitude of electric field = 0.60V/m angular frequency =2.1×10-9s-1
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Q: The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction.…
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A: Write the expression for the intensity of the wave. I=cB022μ0 Here, c is the speed of light and B0…
Q: The magnetic field component of an EM wave propagating through a nonmagnetiċ médlum H = Ho is H = 25…
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- The E→ field in an EM wave in free space has a peak of 24.5 mV/m . What is the average rate at which this wave carries energy across unit area per unit time?An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 5 = 3.06 x 10⁹ W/m². What is the rms value of (a) the electric field and (b) the magnetic field in the electromagnetic wave emitted by the laser? (a) Number (b) Number i i Units UnitsHence show that the wave equation for the magnetic field is V²H+k²H=0 where k = ₁√√μ₁&
- An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 5 = 1.95 x 10⁹ W/m². What is the rms value of (a) the electric field and (b) the magnetic field in the electromagnetic wave emitted by the laser? (a) Number (b) Number i 2.23E6 i 4.06 Units nm + Units T +The average intensity within the 3.4-mm radius circular spot illuminated by a helium-neon laser pointer is 53.5 W/m². (a) What is the peak amplitude of the beam's electric field component? Emax = |0.53 N/C (b) What is the rms amplitude of the beam's magnetic field component? Brms = 0.00125 X HT (c) What is the average output power of the laser? Pav = 7.77 avg x mWA parabolic satellite dish is somewhat bowl-shaped, but the incoming signal is captured across its circular cross-section. A parabolic satellite dish with radius, R = 1.5 m, picks up a TV signal with a peak electric field strength of 74 mV/m. (a) What is the average intensity of the incoming signal? W/m² (b) What is the average (total) power received by the satellite dish? W R (c) What is the average output power of the orbiting transmitter if it broadcasts uniformly over an area of 1.5 x 10¹3 m²? MW
- A cloud of atoms is excited by a laser pulse and then emits electromagnetic radiation, which is detected by a spectrometer. At the detector, the amplitude of the field is given by: E(t) = E0e-i[omega]0t - t/2[tao], where E0 is a compex constant, while [omega]0 and [tao] are real constants. a) Determine the detected time-dependent intensity I(t) = |E(t)|2. b) Determine the frequency resolved intensity I([omega]) = |E([omega])|2, where E([omega]) = The integral from 0 to infinity of E(t)*ei[omega]t dt. c) Determine the frequency [omega]max where I([omega]) attains its maximum, as well as the full width at half maximum [delta omega], defined by I([omega]max +/_ [delta omega]/2) = (1/2)I([omega]max). d) Sketch the time-dependent and frequency-resolved intensities I(t) and I([omega]). Image attached with the original formattingAssume the helium-neon lasers commonly used in student physics laboratories have power outputs of 0.49 mW. (a) If such a laser beam is projected onto a circular spot 1.3 mm in diameter, what is its intensity? I= W m (b) Find the peak magnetic field strength. Bo= T (c) Find the peak electric field strength. E₁= V mA 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?