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Does the superposition (x, t) Asin (kx-wt) + 2A sin(kx + ω) generate a standing wave?...
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral)....
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral). Consider the following superpositions of waves: VA(2, t) = A sin(kx – wt) + 2A sin(kx + wt) VB(x, t) = A sin(kx – wt) + A cos(kx + wt) wc(,t) = A sin(kx - wt) + A sin(kx + 2wt) Does either of them (WA, VB and/or vc) correspond to a standing wave? Use trigonometric identities to combine the terms and evaluate the...
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed....
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed. if not explain
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3...
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and...
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x,...
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the...
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
B(, t) = Bmar sin(kx - wt). (e) Using Faraday's law, find the electric field induced...
B(, t) = Bmar sin(kx - wt). (e) Using Faraday's law, find the electric field induced by the magnetic wave. (f) In part (e), what is the amplitude of the electric wave? Is there any phase difference between the electric wave and the magnetic wave? (g) The electric field you found in part (e) should also satisfy Ampére-Maxwell equation. Find the speed of the EM wave in terms of the constants en and yo using this requirement.
1. A common solution to the wave equation is E(x,t) = A Cos(kx-wt). On paper take...
1. A common solution to the wave equation is E(x,t) = A Cos(kx-wt). On paper take the needed derivatives and show that it actually is a solution. 2. A common solution to the wave equation is E(x,t) = A ei(kx+wt). On paper take the needed derivatives and show that it actually is a solution. Note that i is the square-root of -1
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60...
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. m (b) Determine the wavelength of the wave (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s
Sketch the profile of the wave (x,t) = A sin(kx-t+), where the initial phase is given...
Sketch the profile of the wave (x,t) = A sin(kx-t+), where
the initial phase is given by each of the following: =0 , =/2
and
3. (20 points) Sketch the profile of the wave P(x,t) = A sin(kx-ot+E), where the initial phase is given by each of the following: E=0, E=1/2 and <=n.
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral). Consider the following superpositions of waves: VA(2, t) = A sin(kx – wt) + 2A sin(kx + wt) VB(x, t) = A sin(kx – wt) + A cos(kx + wt) wc(,t) = A sin(kx - wt) + A sin(kx + 2wt) Does either of them (WA, VB and/or vc) correspond to a standing wave? Use trigonometric identities to combine the terms and evaluate the...
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
B(, t) = Bmar sin(kx - wt). (e) Using Faraday's law, find the electric field induced by the magnetic wave. (f) In part (e), what is the amplitude of the electric wave? Is there any phase difference between the electric wave and the magnetic wave? (g) The electric field you found in part (e) should also satisfy Ampére-Maxwell equation. Find the speed of the EM wave in terms of the constants en and yo using this requirement.
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. m (b) Determine the wavelength of the wave (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s
Sketch the profile of the wave (x,t) = A sin(kx-t+), where
the initial phase is given by each of the following: =0 , =/2
and
3. (20 points) Sketch the profile of the wave P(x,t) = A sin(kx-ot+E), where the initial phase is given by each of the following: E=0, E=1/2 and <=n.
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