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For the circuit shown below. Ifv.(t) = 100 cos(2001+30) V and vy(t) = 50 cos(2000) V....
2- A circuit across the terminals of a sinusoidal voltage source, as shown in Figure 2. The steady-state expression for the source voltage is v;=50.cos(1000t+20). (40 points) 12 mH 100 MF 10 Figure 2 a) Construct the frequency-domain equivalent circuit. b) Calculate the steady-state current i by the phasor method.
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
Problem 5. Use phasor techniques to analyze the circuit shown below and answer the following questions. a. Draw the frequency domain circuit b. Find the equivalent impedance C. Find the current iſt) flowing from left to right through the 30 ohm resistor d. Find the steady-state voltage v.(t) (Hint: answer is v.(t) = 17.14 cos(2000) V) 3022 5022 W 50 uF 60 sin 2001 V 0.1 H 3.0)
please answer all parts. 4.30 In the SMD system shown in Fig. P4.30, vx(t) is the input velocity of the platform and vy(t) is the output velocity of the 100 kg mass. v(t) 100 kg Ns 100 100 S 100 kg 100 N Sv() 100 Figure P4.30: SMD system of Problem 4.30. APPLICATIONS OF THE LAPLACE TRANSFORM PTER 4 (a) Draw the equivalent s-domain circuit. (c) Determine the frequency response. Hint: Use two node equations. 4.30 In the SMD system...
Problem 10.6-19 4 H 2 4 m 3 15 2 vy(t) 27 1 = v(t) 3 vit) $ 20 mF + v.(t) The input to this circuit the voltage source voltage is vs(t) = 8 cos(2 t) V. First, represent the circuit in the frequency domain using phasors and impedances. next, Apply KCL at nodes 2 and 4 and arrange the results in matrix form to to obtain the node equations: Tatjo 0 T 13-1-ja VO [, 1-ja][M]-[:) Determine the...
· [Bonus] Determine the Thevenin equivalent circuit below when v40 cos(4000t- 30°). Find the time domain expression for in the circuit below. What is the time domain express for the maximum power transfer for the circuit? for maximum power transfer? Reminder: Express all answers in time domain. Vth and the value for Rth 115 pts 1/80 mF 20 mH 80 2 · [Bonus] Determine the Thevenin equivalent circuit below when v40 cos(4000t- 30°). Find the time domain expression for in...
For the circuit shown, find the steady-state voltage across the inductor v (t), when us 1 (t) = 20 cos(1000t) V, vs2(t) = 30 cos(1000t-90') V, using: (a) The mesh-current method (b) The node-voltage method. (c) The Source transformation Method (d) The superposition Principle (e The Thevenin's equivalent at the terminals a-b. 200μF VL 15mH Vs2 10Ω For the circuit shown, find the steady-state voltage across the inductor v (t), when us 1 (t) = 20 cos(1000t) V, vs2(t) =...
For the circuit shown, find the steady-state voltage across the inductor v (t), when us 1 (t) = 20 cos(1000t) V, vs2(t) = 30 cos(1000t-90') V, using: (a) The mesh-current method (b) The node-voltage method. (c) The Source transformation Method (d) The superposition Principle (e The Thevenin's equivalent at the terminals a-b. 200μF VL 15mH Vs2 10Ω For the circuit shown, find the steady-state voltage across the inductor v (t), when us 1 (t) = 20 cos(1000t) V, vs2(t) =...
120 Problem 1, Use the node-voltage method to find the steady state expression for v () in the circuit shown. The sinusoidal sources are v,-35cos 50 t V'and i 20 sin 50 1 A 20 Ω 0 Problem 2 120) Use the mesh-current method to find the steady state expression for velt) in the circuit shown. Answer must be in time domain. Below excitation voltage v is given in time domain v(t) 0.75 V,<t 2 Ω ) 5osin(40140°) Problem 3...
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