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The height of an ocean wave is described by the function
Determine the phase velocity and wavelength, and then sketch
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Fundamentals of Applied Electromagnetics (7th Edition)
- Two transverse sinusoidal waves travel in opposite directions along a string. Each has an amplitude of 3 cm and a wavelength of 6 cm. The speed of a transverse wave in the string is 0.50 cm/sec. Plot the shape of the string at each of the following times: t = 0, t = 1.5, t = 3.0, t = 6.0, t = 7.5, and t = 9.0 sec. Answer in detailarrow_forwardAn EM wave progating in a certain medium is described by E = 31 sin(3922.8 x 10°t - 9.2x)a₂ V/m Determine the phase velocity of the wave.arrow_forwardTwo sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x.t) = 8 cm sin(4ttx-60rtt-T/3). The amplitude of the individual waves generating this wave is: 4/13 cm 4 cm 8 ст 2/13 cm 2 cmarrow_forward
- The mathematical expression for the instantaneous value of an alternating current isi = 7.071 sin (157.08 t −π4) A. Find its effective value, periodic time and the instant atwhich it reaches its positive maximum value. Sketch the wave – form from t = 0 overone complete cycle.arrow_forwardPlease answer quickly The angular frequency of waveform having a period of 1 msec is 2pi radians/sec. True False Root mode square value of a signal is same as the effective value of a signal. True False The magnetic field energy stored in between the plates of the capacitor is mathematically equal to the half of the product of its capacitance and the square of the voltage across the capacitor. True Falsearrow_forwardQuestion. The figure given below is a plot of a sinusoidal wave. From the plot, determine values for the amplitude (A), phase (p), and frequency (wo) needed in the representation: x(t) = Acos(wot + $) Give the answer as numerical values, including the units where applicable. 20 10 x(t) o -10 -20 -10 0 10 20 30 40 Time t (msec)arrow_forward
- Given is a sine wave in time domain, using this wave plots answer the following: 1 second 5 |Time (s) A- How much is the wave amplitude with its unit? Answer B- How much is the wave frequency with its unit? Answer C- Draw the same wave in the frequency domain Answerarrow_forwardQuestion. The figure given below is a plot of a sinusoidal wave. From the plot, determine values for the amplitude (A), phase ($),and frequency (wo) needed in the representation: x(t) = Acos(wot + o) Give the answer as numerical values, including the units where applicable. 20 10 x(t) o -10 -20 -20 -10 0 10 20 30 40arrow_forwardIf two waves ( Y1 and Y2 ) move in the same direction and superimpose with each other to create a resultant wave, What would happen to the amplitude of resultant wave if those waves are in phase with each other?( the amplitude of the resultant wave at x = 10 m) Consider: Y1 = 7 sin (2x - 3nt + 1/3) and Y2 = 7 sin (2x + 3nt)arrow_forward
- Two interfering sinusoidal waves are described by the wavefunctions: y1 = A sin(kx-wt) and y2 A sin(kx-wt+p). If o cannot exceed rt/2 (0 spsT/2), then which of the following is true about the resultant amplitude Ares? O AV2 S Ares s 2A O AS Ares s Av2 O AS Ares s 2A O Av2 S Ares s 2AV2arrow_forward(t) = Fejtáx with is The wave parameters M₂ = 4.5 μ0₁ E₂ = 1.280. Calculate the magnetic field phasor and time-Overased pgniting vector for this wave. with electric field phasor propapating in a perfect dielectric medium 4) you are given a plane wavearrow_forwardWrite Average value for the wave form below* 6. 3 11 15 Your answer 3.arrow_forward
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