Solving wave equation we can get the answer
Question 21 (3 points) Saved day Which of the following is a solution to the wave...
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
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx) (sin ot) sin et C. e sin (kx - t) d. e COs t e. e 2. A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 x 10 (C) ) A...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
Question 1: As you work through the parts of this question you are going to show that the Maxwell equations naturally contain electromagnetic waves. In a region of space that is void of all charges and currents, p=0 and J = 0 the Maxwell equations come out to be: Y E = 0 7.B=0 7 x Ē = -1 1 x B = Poco a) Using the same idea as I did in the lecture, derive the Wave Equation for...
do question 3 with the info provided
f 0 Question 3 Given the graph above represents a string being plucked at point (g). The wave equation generated when the string is released after being plucked, is given by the wave equation in question 1, and that additionally: 1. u(0, t) 0 u(4, t) 2. u(x, 0) f(x) as in question 2 au 3. atlt-0 Solve wave equation subject to the restrictions above. [10] Question 2 a) In the General Fourier...
QUESTION 5 4 points ✓ Saved The disturbance along a transverse wave is defined by the following function for x in meters and t in seconds: y=0.50 cm sin (TTX - t) How long does it take for the wave to complete once complete cycle? O 3 5 seconds On seconds 212 seconds 3 O O 2 seconds O 6 seconds QUESTION 6 4 points Saved The disturbance along a transverse wave is defined by the following function for x...
The general solution y(t, p. 6) to the wave equation on a disc of radius R with boundary condition v(t, R, 1) = 0 is given by vlt,0,0) = EE - ( ) [cos (ES) (Am.cos(nb) + Bu sin(no)) + (ME) (C..cos(no) + Dm (no) n=0 s=0 sin sin(ne)) 728 where Jn (2) is a Bessel function and x is the s'th root of In(x). (i) Derive the expressions for y and Oy/at at t = 0. (ii) Find all...
Question 27 Consider the following figure that represents the propagation of EM wave (E is red, B is blue color). The equations for the wave are: х y a. E =Emarsin(ky-wt)1,8 =B mex sin(ky -wt) O b. E = Emasin(kz -wt)î,=B mersin(kz -wt)Ã E = max sin(kz-wt) K, =B mar sin(kz-wt) k d. E = Emaxsin(kx-wt)1,3 =B max sin(ky -wt)ſ
Answer all parts of the
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Consider the equation one gains from considering forced oscillations applied to a damped system d2y Fo -y= m c dy k cos(wt) dt2 m dt (a) Show that yp is a particular solution where, Fo - mw2) cos(wt) c sin(wt)). Yp(t) mw2)2 c2w2 - This can be written as Fo cos(wt - n), Ур (t) — where H and n are constants, independent of time. (b) Using this particular solution and the solution...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation