r(t) = 10 sin(300t + 60°) cos(x - 90) sin(x) v(t) 10 cos(300t- 30°) ω =...
Consider the following DT periodic signal: in X(t) = sin 2πη) 10 + cos 30) a) What is the fundamental period? b) What are the exponential Fourier series coefficients? c) Sketch magnitude and phase spectral plots.
QUESTION 3 5pts If vi(t) = -10 sin(wt - 30°) V and vz(t) = 20 cos(wt +45°) V. find v(t) = V(t) + vz(t)
10Ω 5Ω sr 2.5mil 20 Ω 12.5 μF Slope/Displacement Find io(t) if Us (t) 35 sin 4000t V. Suppose that i。(t) = 10 cos(wt + φ), where-360° < ф < 360°. Determine the values 10, ω, and φ Express your answers using three significant figures separated by commas. View Available Hint(s) ΑΣ A, rad/s, Submit Previous Answers 10Ω 5Ω sr 2.5mil 20 Ω 12.5 μF Slope/Displacement Find io(t) if Us (t) 35 sin 4000t V. Suppose that i。(t) = 10...
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.
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t) (a) (10 pts) Find and plot the Fourier Transform of x(t) (b) (10 pts) What is the Nyquist frequency and period for sampling? (c) (10 pts) Find and plot the Fourier Transform of xp(t) using the Nyquist rate. (30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t)...
Example 1 The voltage across the load is v(t) = 60 cos(wt - 10°) V and the current through the element in the direction of I voltage drop is i(t) = 1.5 sin(wt + 50°) A. Find a) The complex and apparent powers b) The real and the reactive powers c) The power factor and the load impedance.
Calculate vo(t) in the circuit shown in the figure below if i(t) is 200 cos(105t+ 60°) mA, i2(t) is 100 sin(105t90°) mA, and vst) 10 sin(105t) v uci) + 250 nF o(r) 52 Ohm Calculate vo(t) in the circuit shown in the figure below if i(t) is 200 cos(105t+ 60°) mA, i2(t) is 100 sin(105t90°) mA, and vst) 10 sin(105t) v uci) + 250 nF o(r) 52 Ohm
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
P.3 The voltage across the terminals of a circuit is: v(t) = 30+ 20 cos(1207t +45°)+10 cos(120nt - 459) V and the current entering the terminal is: i(t) = 6+4 cos(120wt +10°) - 2 cos(120ft -60°) A a) Calculate the RMS value of the voltage b) Calculate the RMS value of the current c) Calculate the average value of the power absorbed by the circuit
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...