3. Given the three sinusoids: x(t)= 3cos(ot+45°) y(t)=2cos(at – 30°) z(t)= 4 sin(0t+30°) a) Find their...
1. Use the step-by-step method on the circuit below to find the inductor current for all time. 2. Given the two complex numbers: a) Express both numbers in rectangular, exponential, and phasor forms; b) Find the sum, the difference, the product, and the quotient of the numbers. 3. Given the three sinusoids: a) Find their corresponding phasors using a cosine reference; b) Does x(t) lead or lag y(t), and by how much? 2 ΚΩ t = 0 4 ΚΩ +...
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
(USING MATLAB) Given two differential equations X= sin(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) And Y = cos(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) where 0<t<20pi is a vector of 5000 points created by using (linspace) command : Write script to plot X and Y with red color ?
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation. 7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0 1. Consider the Partial Differential Equation ot u(0,t) =...
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, х(n)=x1(nHx:(n)+xy(n), using a sampling rate of 8000 Hz, and plot the sum x(n) over a range of time that will exhibit approximately 0.1 second. (10 pts) b. Use the MATLAB function fO to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).(10 pts Write a MATLAB...
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 + 25x). Sketch v(x,t) +v,(x,t) as a function of x if a) Vm2-10 and t-0,10ms,20ms b) Vm2-5 and t-0,10ms,20ms Use the trig identity cos A+cos B=2cos|-(A+B)|cos|式4-B) | to establish the total voltage on the c) transmission line. What insight is gained from this result? 4. The input impedance of a transmission of length I, with characteristic impedance Zo, connected to a load Z, is given below 2π where...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, х(n)=x1(nHx:(n)+xy(n), using a sampling rate of 8000 Hz, and plot the sum x(n) over a range of time that will exhibit approximately 0.1 second. (10 pts) b. Use the MATLAB function fO to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).(10 pts Write a MATLAB...
please help! thank you very much! Given f(x,y) = V x² - y", find fun to fulfi Eyy and fyx. Given z = In(x² + 3y?)vx + 2 with x = sin(t) and y = (1)”, Use the chain rule to find (t = Check answer using direct substitution and the CALG key with t=1