A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
Please solve the whole question Question 1 (a) Determine if the following functions represent traveling waves? (b) Could either represent a harmonic wave? (c) If possible, determine the velocity of the wave (speed and direction) wavelength, angular frequency and the phase of the wave:() y(xt)-A(x -1) and, (I) E(x,t) = E, cos k(x-ct). (20 pts)
5. In a lossless nonmagnetic medium with er = 4, E(y,t) = 20 cos(108nt +By+)a, V/m Find the following: (a) Direction of propagation and the wave length , Speed of propagation of the wave and propagation constant, B, attenuation constant, (b) using the Maxwell's equation, find the magnetic field intensity H(y,t) (c) phase angle between the E and H fields.
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
Problem 1 (a) The height of an (m). Determine the phase velocity and the wavelength, and then sketch y(x, t) at t over the range from x 0 to 3X. cean wave is described by the function y(x, t5(0.25t 0.25r) 1 s (b) The phasor of the electric field of an electromagnetic wave traveling in a dissipative medium is: E 0.5 j0.5)e-0.5*e-j0.53. Determine the time-domain expression of E and sketch a corresponding plot at = 0 and at = 2...
A traveling wave equation is given by : y(x,t) = 5 Cos (rex - 2t) m. The velocity of the traveling wave is : (1/5) m/s O (5/) m/s none of them O(2/) m/s (1/2) m/s
please give answer in easy to understand manner as endsem tomorrow the (b) For a uniform plane wave propagating in free space,the apparent phase velocities along found to be 6V2x i 0,n/s and 2V3 x i0 m/s respectively Find 151 x- and y-directions are the direction propagation of wave. the (b) For a uniform plane wave propagating in free space,the apparent phase velocities along found to be 6V2x i 0,n/s and 2V3 x i0 m/s respectively Find 151 x- and...
Chapter 15 Question 2 The function x = (3.5 m) cos[(4trad/s)t + 1/5 rad] gives the simple harmonic motion of a body. At t = 4.1 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
1- 2- A wave travels along a string in the positive x -direction at 23.8 m/s . The frequency of the wave is 51.3 Hz . At x = 0 and t = 0 , the velocity of the string in the y -direction is 2.11 m/s and the vertical displacement is y = 2.31 mm . Write the function y(x, t) for the wave. Pont A in the figure below is 39.1 cm below the ceiling. Determine how much...