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QUESTION 3 5pts If vi(t) = -10 sin(wt - 30°) V and vz(t) = 20 cos(wt...
300) V and v2 (t) 20 cos(wt 45°) V, find v(t) v1 (t)2(t) If v1(t) = -10 sin(wt _ -
solve the problem with clear hand writing
Problem 5 Suppose that vi(t) = 90 cos(wt-15) and vz(t) = 50 sin (wt-60). Use phasors to reduce the difference vs(t) = vi(t) - V2(t) to a single term of the form Vm cos(wt+o). State the phase relationships between each pair of these phasors. (15 Points)
r(t) = 10 sin(300t + 60°) cos(x - 90) sin(x) v(t) 10 cos(300t- 30°) ω = 300, Mag = 10, θ =-30° v 102-30 MLP Mcos(P) +jMsin(P) v = 10 cos(-30) +j10 sin(-30) Step 1: Convert to Cosine Step 2: Identify Frequency, Magnitude, and Phase Step 3: Convert to real/imag form = 8.66-J5 Step 4: Solve Step 5: Convert Back
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.
4.1. For the voltages vi = 10 cos(4t) V and v, = 20 cos(4t – 30 ) V, use the mesh-current method to determine the currents i and in ΤΩ 1 Η Wn 1Η 1Ω now + IF 1 = 2.74 cos ( 4t - 41.07 A in = 4.11 cos(4t+92.00) A
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...
(b) I = 602-30° (mA) u(t) = 20 cos(wt + 225°) (V) Z =?
Use the phasor technique to add the following sinusoidal functions. Put the final answer in the form V4(t) = A cos(wt + 8). vi(t) = 10 cos(wt + 10°) vz(t) = 5 sin(wt – 30°) vz(t) = 7 cos(wt)
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
If u(t) = (sin(2t), cos(3), t) and v(t) = (t cos(3), sin(2t)), use Formula 4 of this theorem to find lu(e) • vce). dt