A standing wave with wavelength of 2 m,speed of 20 m/s and amplitude of 4 mmis generated on a taut string. Thewavefunction of the standing wave is:O y(x,t) = (2 mm) sin(Tx)cos(20rnt)O y(x,t) = (4 mm) sin(tx)cos(0.1nt)y(x,t) = (8 mm) sin(x)cos(0.1nt)O y(x,t) = (4 mm) sin(tx)cos(20nt)y(x,t) = (2 mm) sin(tx)cos(0.1 t)O y(x,t) = (8 mm) sin(tx)cos(20nt)

Answered: Image /qna-images/answer/1e263e72-53c7-4b47-a117-0306d18c09bd.jpg

A standing wave with wavelength of 2 m, speed of 20 m/s and amplitude of 4 mm is generated on a taut string. The wavefunction of the standing wave is: O y(x,t) = (2 mm) sin(nx)cos(20t) %3D O y(x,t) = (4 mm) sin(Ttx)cos(0.1nt) %3D O y(x,t) = (8 mm) sin(Tx)cos(0.1rt) %3D O y(x,t) = (4 mm) sin(tx)cos(20rt) O y(x,t) = (2 mm) sin(nx)cos(0.1nt) O y(x,t) = (8 mm) sin(rx)cos(20nt)

A standing wave with wavelength of 2 m, speed of 20 m/s and amplitude of 4 mm is generated on a taut string. The wavefunction of the standing wave is: O y(x,t) = (2 mm) sin(nx)cos(20t) %3D O y(x,t) = (4 mm) sin(Ttx)cos(0.1nt) %3D O y(x,t) = (8 mm) sin(Tx)cos(0.1rt) %3D O y(x,t) = (4 mm) sin(tx)cos(20rt) O y(x,t) = (2 mm) sin(nx)cos(0.1nt) O y(x,t) = (8 mm) sin(rx)cos(20nt)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

rad 2- A uniform plane wave of angular frequency w = = 5x10® propagates in a lossless medium sec with parameters ɛ = 9ɛo and u = µo. The phasor electric field intensity is in the form Ē (f) = (Aây + j2âz)e-skxx-4y) (V/m) Where ky is a real, nonzero, positive constant. a) Comment the value of A. Can it be different from zero? Verify your answer. b) Determine the value of ky. c) Find the expression for the time-domain electric field intensity. d) Determine the polarization (type and sense, if applicable) of this wave. e) Find the expression for the phasor magnetic field intensity, H(f).
Q/1/ Given w = 500 rad/sec. Determine the time in seconds for sinusoidal Waveform to pass through an angle of 60°?
A wave is described by the following wave function, y(x, t) = 0,06 sin (0,02x - 4nt) Find the wavelength, the period of the wave, and the speed of propagation of the wave.
Two sinusoidal waves travel in the same direction with the same amplitude, wavelength, and speed. Their resultant wave function is given by: y(x,t) = Ares sin(kx-wt+Tt/4). If Ares = 8 cm, then the amplitude, A, of each of the original sinusoidal waves producing this resultant wave is: O A = 4 cm A = 4V2 cm O A = 2v2 cm O A = 8V2 cm
Which of the following is the Vpp in a CRO waveform if the Vrms value is measured as 2.5 V? о а.4.25 v O b. 2.707 v О с. 3.535 v o d. 7.07 v
Consider the solution of the following template 1-D wave equation: +c =0 Using a modified FTCS scheme, in which the term u for time discretization is expressed du du Ət dx as u = (1+1), where the index 'i' represents spatial discretization where as the superscript 'n' represents temporal discretization. Examine the numerical stability of this scheme using von- Neumann stability analysis.
The waveform displayed on an oscilloscope is as shown in Figure The 'time/cm' switch is set to 20ms/cm, and the 'volts/cm' switch is set to 30 V/cm. Determine the (i) amplitude of waveform Q. (ii)peak to peak value of waveform P, (iii) frequency of waveform P and (iv) phase angle difference between P and Q in Degrees and (v) Rm.s value of waveform Q. P.
The acceleration time waveform was obtained from the outboard bearing of a rotor with a looseness problem. The waveform can be described by the equation: A(t) = 0.36sin(1050t +0.07) + 0.21sin(2100t-0.11) + 0.13sin(3150t) – 0.05sin(4200t) g 1. Determine the minimum number of samples for measuring the signal, based on a Nyquist Factor of 2.56. 2. List the frequencies and acceleration amplitudes that appear in the resulting frequency spectrum if an ideal bandpass filter rated at 170 Hz and 600 Hz is applied.
Determine the Average and RMS value for the function y (t) = 25 + 10 sin 6nt over the time period "O to 1/3" sec Comment on the nature and meaning of the results in terms of analysis of dynamic signals.
The displacement of a machine is expressed as x(t) = A sin(6t + 0), where x is in meters and t is in seconds. If the displacement and the velocity of the machine at t = 0 are known to be 0.05 m and 0.005 m/s, determine by how much the response of the system leads the reference wave.
Determine the longitudinal displacement of a 1 meter long uniform cross-section steel rod with one end fixed and the other end free. What are the first three frequencies related to the longitudinal motion. u (x, t) x (t) Hints: It is necessary to figure out the given boundary conditions from the given information "...one end fixed and the other end free.' The wave speed c can be found as c = where E = 200 GPa is the elastic modulus and p = 7700 kg/m is the density of steel.
The position with time of an object is given byx(t)=Acos(ωt) If the amplitude is 1.58 m, and the frequency is 1.2 Hz, what is the object's acceleration at 11.26 seconds?