Which of the following functions represents the sawtooth wave below? 0.5 4 time(s)
Let g(t) be a sawtooth wave shown as follows, 1.0 0.5 0.0 -0.5 0.0 0.2 0.4 0.6 08 1.0 (i Find its Fourier series. () Sketch IDn I vs nwa.(Magitude Spectrum) Sketch Dn (en) vs nwo. (Phase Spectrum) iv) Find power of g(t) in time domain (v) Find power of g(t) in frequency domain (vi) Write matlab code to sketch g(t) from its Fourier Coefficients, attach the matlab code and the output figure from matlab
1. A sawtooth wave with a period of 200ms is applied to an oscilloscope with a screen 25cm wide. What time is represented by 1 cm on the screen? Show your work 2. If a series RC circuit has VR = 14.5V and Vc = 9.2 V, the generator voltage must be (a) 17.2 V (b) 16.9 V (c) 4.7 V (d) 16.5 V. Show your work.
The time-independent Schroedinger equation is given by: − Wave functions that satisfy this equation are called energy eigenstates. a) If U=0 for all positions, this represents a free particle. For a wave function with definite momentum ℏ,, compute E. b) Is the relationship derived from a) consistent with what we know from classical mechanics for a free particle? Explain how or how not. c) Consider the wave function ((^b[j + ^bâj), with A some number and c, d not equal...
10) a) Draw, in the graph below, the resulting wave when the two given transverse waves are superposed. b) State the repeat time of the resultant wave. t (s)4 10) a) Draw, in the graph below, the resulting wave when the two given transverse waves are superposed. b) State the repeat time of the resultant wave. t (s)4
Sine wave Square wave 0.8 0.5 0.6 04 0.5 0.2 0.005 0.015 0.005 0.015 0.01 Time [sec 0.02 0.01 0.02 Time [sec] AM signal 0.5 0.01 Time [sec) 0.005 0.015 0.02 Figure 1 (a) Square wavem(t), (b) Sinusoid sin(2T ft), and (c) AM signal
Part A Which of the following functions are acceptable wave functions over the indicated interval? Check all that apply. e-, -20 < x < 0 0 * ,0<x<0 e-2niz, -100 < x < 100 e2, 0<x< 0 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
consider two wave functions, y,(x, t) = 3.70 m sinl-m-"X-5π s-산 and 5 4 (a) Uslng a spreadsheet, plot the two wave functlons and the wave that results from the superposltlon of the two wave functions as a function of position (0.00 x 19.00 m) for the time t = 0.00 s x (m) x (m) 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2...
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....
1. Which of the following could NOT possibly be wave functions and why? Assume 1-D in each case. (Here C is a normalization constant) If any of these are valid wave functions, calculate C for those case(s). Where is the particle most likely to be? a) Ψ (x) = C x exp (-x) for x > 0. Ψ (x) is zero everywhere else. b) Ψ (x) = C [exp(2x) + exp(-2x)] for all x.
Four wave functions are given below. III. IV. yx, t) = 5sin(4x - 20t+4) y(x, t) = 5sin(3x – 12t+5) y(x, t) = 5cos(4x + 24 + 6) y(x,0) = 14cos(2x - 8t+3) Use this exhibit to answer the following question(s). Refer to Exhibit 16-3. Rank the wave functions in order of the magnitude of the frequencies of the waves, from least to greatest. O a. III, IV, II, I b. IV = II, I, III C. IV. I, II,...