Concept explainers
Consider the following time-varying current density, which is in the form of a propagating wave at frequency f, traveling at velocity v (more about this in Chapter 10):
where J0, is a constant amplitude, đ�œ” = 2đ�œ‹f is the radian frequency, and & is a constant to be found. Determine β as a function of đ�œ” and v such, that the given waveform satisfies both Eqs. (3) and (5). Begin with Eq. (5).
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Engineering Electromagnetics
- Two traveling sinusoidal waves are described by the wave functions Y, = 4.75 sin [a(3.75x – 1230t)] y, = 4.75 sin [¤(3.75x – 1230t – 0.250)] where x, y,, and y, are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y, + y,? 9.4 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. marrow_forwardO 0.05 sec Clear selection The wavefunction of a mechanical wave on a string is described by: y(x.t) = 0.012cos(TtX-100rtt+211/3), where x and y are in meters and t is in seconds. The. transverse velocity of an element on the string at the left end (x = 0), at time t= 0 is: +0.6 3 m/s O-0.613 m/sarrow_forwardTwo 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
- 18 Hz O 20 Hz Two transverse sinusoidal waves combining in a string are described by the wave functions y1= 0.02 sin(3ttx+Ttt) and y2 = 0.02 sin(3ttx-t), where x and y are in meters, and t is in seconds. If after superposition, a standing wave of 3 loops is %3D %3D formed, then the length of the string is: 0.5 m 0.75 m 1 m O 2 m O 1.5 m A standing wave on a string of length L = 3 m is described by the following frequency, f1, is: %3Darrow_forwardProblem 1: Periodic Nonsinusoidal currents u(t) =100+100/2 sin(at -90) +200-J2 sin 2ot,V o=1000 rad's, R=100 L=10 mH, C=50uF Find: a) the nonsinusoidal currents: i(t)=? iz(t) = ? i(t)= ? b) the readings: IAI = ?,arrow_forwardTwo harmonic waves are generated on the same rope, each wave has an amplitude of 3.0 cm and 2.0 cm respectively as shown in the figure. Nevertheless, the second wave has a lag of π / 2 in relation to the first. Knowing that both have the same frequency of 5.0 Hz, and the length wave of the first wave is 0.4 m: (a) Calculate the wave number and angular frequency of each of the waves; ps: for the two waves! (b) Express the wave function of each of the harmonic oscillations propagated in the string;arrow_forward
- Z is incorrect not sure what I am doing wrong. Everything else in green is correct.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) = 4 cm sin(4Ttx-60rt+Tt/3). The amplitude of the individual waves generating this wave is:arrow_forwardCan you please help me with part b and c?arrow_forward
- Ie THE luTERVAL Oarrow_forwardProblem 1: Periodic Nonsinusoidal currents u(1) = 100+100/2 sin(@t -90) +100/2 sin 2or,V 0 =1000 rad/s, R1= 52, L=5 mH, C=100µF i(t) Find: a) the nonsinusoidal currents: i(t) =? iz(t) = ? i(t)=? A2arrow_forwardSuppose that the modulating signal m (t) is sinusoid of the formm (t) = 10 COS ( 2π103t) and the carrier signal C(t) is sinusoid of the form C(t) = 4 COS ( 2π106t + Ɵ)1. According to the previous results which type of AM is the best in respect toa. Power transmitted b. band widthJustify your answers2. Draw the block diagram for both DSBSC and DSBFC with all parameters.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,