
A finrte train of woves travels in a non- conductin medium with onqular freqjency wek) and...
please answer both question
1.2 A non-stop freight train leaves Edinburgh for London at 6:00 and travels at a steady 75mph (time taken to accelerate is negligible) for the 332 miles. A passenger train leaves at 7:00 and travels at 126 mph (again time taken to accelerate is minimal) however it stops every SOmins for a period of 10 minutes before continuing In a table show the distance that each train has travelled at each hour into the journeys Plot...
2f and 2g please
2) A wave of wavelength 2 travels along a straight line between two points in space separated by distance L. a) Find the phase difference in the wave at these two points. _radians Distance Index for A Phase change in region for A for wave b) A wave (A) with vacuum wavelength of 2, travels a distance of L, in a medium with index of refraction ni, then distance Lin a medium with index n2, then...
In a non-conducting medium with є= 16 G) and μ-Ho the electric field intensity of an electromagnetic wave is given by E(z, t) 810sm(1010t-kz) (V/m). Determine the associated magnetic field intensity Hand find the value of k.
1. Two waves of the same wavelength interfere - in which case(s) below, will the two waves experience fully destructive interference? (Note: π is "pi") A) the two waves are 90o degrees apart in phase B) the two waves are 2π radians apart in phase C) the two waves are π radians apart in phase D) the two waves are 1.5 wavelengths apart in phase E) the two waves are one wavelength apart in phase F) the two waves are...
A transverse harmonic wave travels on a rope according to the
following expression:
y(x, t) = A cos(kx − ωt − φ)
The mass density of the rope is μ = 0.113 kg/m. x and y are
measured in meters and t in seconds. Using the graphs at of y vs t
at x=0 and y vs x at t=0 shown below, answer the following
questions:
(a) What is the value for the wave number, k, for the expression
y(x,t)?...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
3.7. A certain type of electromagnetic wave propagating inside an empty waveguide with perfectly conducting walls obeys the dispersion relationship 2 e) where m and n are integers and m and n a and b are the height and width of the waveguide; and c is the speed of light in free space. Find the phase and group velocity of these waves in terms of m, n, a, b, c, and ω only (your answer should not contain k). Discuss...
Let k 21 be a positive integer, and let r R be a non-zero real number. For any real number e, we would like to show that for all 0 SjSk-, the function satisfies the advancement operator equation (A -r)f0 (a) Show that this is true whenever J-0. You can use the fact that f(n) = crn satisfies (A-r)f = 0. (b) Suppose fm n) satisfies the equation when m s k-2 for every choice of c. Show that )...
Execute the function, using 11 as Non, and 8 as Noff. function fourier_example(Non,Noff) %this function demonstrates fourier analysis and synthesis for a simple %periodic rectangular wave of varying duty cycle. %Inputs: Non= integer number of seconds per period that the signal is on % Noff = integer number of seconds per period the signal is off t=-30:.001:30; %time scale Nharm = 20; %number of harmonics to calculate %construct a periodic square-wave with desired duty cycle x=zeros(size(t)); for k1=-Nharm:Nharm x =...