Problem 4. Consider the circuit shown below. Assume the current is given by i(t)cos(2T100 +30°) A...
Find the phasors for the current and for the voltages of the circuit shown below. Construct a phasor diagram showing VS, I, VR, and V.. What is the phase relationship between Vs and I? (7 pts) 10022 AN v (t) = 10 cos(5000)
8–31 A voltage vs(t) = 50 cos (5000t) V is applied to the circuit in Figure P8–31. (a) Convert the circuit into the phasor domain. (b) Find the phasor current flowing through the circuit and the phasor voltages across the inductor and the resistor. (c) Plot all three phasors from (b) on a phasor diagram. Describe if the current leads or lags the inductor voltage. i(t) 50 22 25 mH 00 + VL(t) - + Vr(t)- vs(t) (+) FIGURE P8-31
3. For the circuit shown in Figure 1, + VR - R = 3k 494 ET V 4.7 uF E = 8V sin(20,000t +60° -VL + Z = ? m L = 0.5 H Figure 1 i. ii. iv. v. vi. vii. Find the total impedance Zr in polar form. Draw the impedance diagram Find the current and the voltages VR, Vi and Vc in phasor form. Draw the phasor diagram of the voltages E, VR, V., and Vc and...
For the circuit shown below. Ifv.(t) = 100 cos(2001+30) V and vy(t) = 50 cos(2000) V. a) Redraw the circuit using Phasor equivalent. b) In the Phasor domain, find the node voltage equations. 1 mF 20 ml 30 000 30 mH 0.25 mF
9 (12 points) Consider the RLC circuit shown, powered by ε = Vo sin(at). (a) Draw two phasor diagram, one for the current phasors 11, 12, and I (the total current), and the other for the voltage pahsors V, VI, Vc, and ε. (Hint: Note that I = 11 + 12, while VR = V2 + VC = ε. Draw the phasor diagrams accordingly.) (b) Find I as a function of time. (c) Find the impedance Z of the circuit....
4. If vL = 220°V, find i, ilı, ir, and ic, for the diagram below where ZL = 3412, Zc, = -352 and R1 = 109. Plot the the 5 phasors on a phasor diagram.
Problem 1: Given the RLC circuit with current source as shown (assume the system is initially relaxed a) (8 points) Write the state equations if the Rich Led state vector X = [i:] i Lt) 个 H y = |VC b) (7 points) Write the output equation if TVR i.e. voltage across each element. VL. c) (5 points) Using the state equations find Vr(s)/I(s)
Question 1 [30pts]: For the single-phase circuit shown in the figure below, I = 10230° A. a) [15pts] Compute the phasors I, I, and V. b) [15pts] Draw the phasor diagram showing 1, 1, and V. 1 la :-1612 822 422 162 Question 2 [30pts]: Two parallel balanced Y connected loads are supplied by a balanced 36 240 volt source. The first load draws 20kVA at 0.5 p.f leading and the second load draws 15KVA at 0.7 p.f. lagging. a)...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
6.4 (5) Draw the frequency domain circuit and calculate v(t) for the circuit shown if i(t)-10 sin(1000t -30°) A 35 Ω i(t) v(t) 15 mH 6.5 (5) Calculate the three phasor currents Ic, IR and It. from problem 6.4 and draw them on a phasor diagram. Show both algebraically and on the phasor diagram that: I=Ic + IR + IL