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A wave specified by
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Fundamentals of Electromagnetics with Engineering Applications
- A sinusoidal wave on a transmission line is specified by voltage and current in phasor form: Vs(z) = Voeaz ejßz and Is(z) = 1,eaz ejßzejp where Vo and I, are both real. a) In which direction does this wave propagate and why? b) Consider that a = 0, Zo 500, and the wave velocity is v, = 2.5 × 108 m/s, with w = 108 s-1. S Find the resistance (R), the admittance (G), the inductance (L), the capacitance (C), the wavelength (1) and the current phase ().arrow_forwardMoving to another question will save this response. Question 1 A radio wave is propagating at a frequency of 0.5MHZ in a medium (o = 3*10 S/m ,E = Hr =1). The propagation phase constant equals to 8657.29 rad/m 9657.29 rad/m 7695.29 rad/m Non of These A Moving to another question will save this response. 3. 后 )口/ Er/-9/TEarrow_forwardThe plane wave E(r, t) = 2 x cos(wt + ßx) is incident on a planar interface located at x=0. The region x0 is glass (r = 5). The frequency of the wave is 2.4 GHz. Answer the following questions using a phasor-domain representation. a. What is the incident electric field in x>0? b. What is the incident electric field in x<0? C. What is the reflected electric field? d. What is the transmitted electric field? e. What are the incident, reflected, and transmitted powers? Draw a picture indicating the direction those powers are flowing along the x-axis. Repeat Problem 2 when the region x<0 is a perfect conductor. In addition, find the electric current (if any) that is flowing on the interface.arrow_forward
- Consider a plane wave incident on sea water at frequency 1 MHz.Find the wavelength, skin depth and phase velocity. In sea water, σ= 4 S/m and ε’r=81 at the given frequency.arrow_forwardWhich of the following represents the phasor form of a uniform plane wave travelling in Teflon € = 2.1) in +z direction. Please choose one: a) O b) O c) O d) O Ex= Ee1343.12 Hy = = Ex= Ee-j141.12 Hy Em 220.65 = -ej343.1z = Et Dm 260.15 Ex = Emej141.12 Hy E om 260.15 e-j141.1z -ej141.1z Ex= Ee-1343.12 Hy Em 220.65 e-j343.1z fr = 1,arrow_forwardEM waves in a non-magnetic, lossless dielectric are given as follows: E (2,t)= 307 sin (ot – 2)â̟ Ħ(2,t)= 0.5 sin(ot – :) â, Find the intrinsic impedance and the wavenumber in this medium. Select one: k =1(rad / m), n=240rQ k =1(rad / m), n=1207N k =1(rad / m), n=60x Q None k= 0(rad/m), n= 60xQ|arrow_forward
- 3 2 -3 -4 -5 0.05 0.1 0.15 0.2 0.25 time(sec) The figure shows a composite signal of multiple (odd harmonic) sine waves: Answer the following questions based on the figure. 1. The bandwidth of the signal = Hz 2. If the signal travels the medium with a speed equal to 3x10 ,the wavelength of the signal with the highest frequency = km (up to two digit after the decimal point e.g 4444.55) 3. The value of the 5th harmonic signal = Hz, and its amplitudes= volts 4. The amplitude of the lowest frequency = volts Amplitude(v)arrow_forwardThe electric field intensity in a lossy dielectric region is given with the following expression: E(x,t) =16e05% sin(2×10°t-4x)â. (V / m) Calculate the wavelength and the wave velocity. Select one: 10 (m/s) 2 2 = 4m, u=- 10 2 =1.57m, u=: (m / s) 2 1 = 1.57m, u=2×10° (m / s) None 2 = 1.57mm, u=2×10° (m / s)arrow_forwardA standing wave with wavelength A = 1.2 m and frequency f = 100 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y.max) = 2rt m/s. The amplitude A of each of the individual waves producing the standing wave is: 0.03 m 0.01 m 0.025 m 0.02 m 0.0125 marrow_forward
- 3. The equation of an AM wave is given by vAM = 15 (1+0.6Sin 40820 t) Sin(25.12 x 105 t) This is given to an antenna of load resistance 60 ohms. Find Find (a) Lower side band (LSB) power (b) the total transmitted current (IT) (c) Total transmitted power Note: Please do not handwritingarrow_forwardQ1: A circular waveguide is filled with a dielectric material that has er-3. If the cut-off frequency at the dominant mode is 8 GHz, find the mode that has a cutoff frequency of 13.27 GHz. a 1 2 134 4 n=0 3.83 7.01 10.17 13.32 n=1 1.84 5.33 8.53 11.70 n=2 3.05 6.70 9.96 13.17arrow_forwardA wave which has a period of T = 5 s propagates at velocity of v= 2/5. Wavelength is λ = 2 m . How much is the medium displaced when t = 20 s at x = 22 m from the origin of the wave? Initial phase angle at the wave origin is = 1.1000 rad and amplitude is A = 4 m. What is the wave number? rad В m = What is the frequency? = Y What is the angular frequency? rad W = S 1 S What is the displacement of the wave? = marrow_forward
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