Answered: Show the function E (x, t) = E, sin(kx… | bartleby

Related questions

Question

100%

Show the function E (x, t) = E, sin(kx – wt) + cos(kx - wt) satisfies the one-dimensional wave equation
a2 E
a2 E
where
kc and poEo
W=
c2

Expert Solution

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

An E&M wave has an e-field given by E(x, t) = -(4.950V/m)k cos(ky + (1.38 × 1013 rad/ s)e). %3D Which of the following is correct for B(x,t) and the direction of propagation? (c = 3x10$ m/s) B(x, t) = -(0.165 µA)î cos (4.6 x 106 rad/m)y +(1.38 x× 1013 rad/s)t),y I. т B(x, t) = (33.0 nT)j cos ((2.3 × 10ª rad/m)y + (2.78 × 1013 rad/3)t),–x I. B(x, t) = (16.5 nT)î cos ((4.6 x 10* rad/m)y + (1.38 × 1013 rad/s)t),-y II. IV. B(x, t) = (11.5 µT)î cos ((4.6 × 10² rad 4.6 × 10² rad/m)y + (1.38 × 1013 rad/s)t),-y. II II O IV None of the above
Calc based physics The general wave function on a string is given by : Y(x,t) = Acos(Kx+wt+Q). Prove that the ratio of d2Y/dt2 over d2Y/dx2 is (w/k)2. Prove that w/k represents velocity.
Snapshot: This a snapshot at t = 2s of the wave function: Calculate or read from the graph: y(x,t) = Axsin 2 × sin [2x (1-1)] a) Amplitude A, the wavelength A and the wave number k. b) Determine all possible periods T consis- tent with the graph. For the largest pe- riod T calculate the speed of the propaga- tion v. In which direction does the wave propagate (in +x or -x)? c) What is the maximal speed and accelera- tion of the points along the wave? y(m) 2 1 1 2 3 4 x(m)
Use dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).
Show by direct substitution that the exponential Gaussian function defined by ?(x,t) = ae-(bx-ct)^2 satisfies the wave equation: (?2?(?,?))/(?x2) = (1/v2) * (?2?(x,t))/(?t2) if the wave is given by the v = (c/b) and a, b, and c are constants.