1. Sinusoidal signals The following sinusoidal diagram is the voltage across a "black box" and the...
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.
Question 1 Assume the transformer to be ideal. Winding 1 is applied a sinusoidal voltage in steady state with 120 20° V at a frequency f 50 Hz. N1/N2=4. The load on winding 2 is a series combination of R and L with Z 4+j5 . Calculate the current drawn from the voltage source.
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...
A sinusoidal voltage V(t) = (80.0V)sin(500t) is applied to a series RLC circuit with L= 700 mH, C = 80.0 uF and R = 90.0 12. (a) What is the impedance of the circuit in 2? (b) Find Imax (in A), o (in rad/s) and Q (in degrees) in i(t) = Imax sin(@t-0). (c) What is the ratio Pout for the resistor? (d) What is the average power dissipated by the resistor in W? (e) What is the resonant frequency...
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...
(10 points) In the diagram below, the source voltage phasor is V, 120L30"V (rms) and measurements show that Plant 1 receives 30kw with PF 0.9 leading, plant 2 receives 60kV A with PF 0.7 lagging and Plant 3 receives 90kW with PF 0.6 lagging. Compute the current phasor Io and the overall power factor. If the source frequency is 60H z, what single passive (time domain) component value should be added in parallel to bring the power factor to unity?...
Question # 1 - In a series R-L circuit, a voltage of 10 V at 50 Hz frequency produces a current of 750 mA. In the same circuit with same magnitude of applied voltage with a frequency of 75 Hz produces a current of 500 mA. Find out the values of R and L in the circuit. Question # 2 - Derive the equations of active, reactive and apparent powers in a series R-L circuit with sinusoidal AC supply. Question...
For the following circuit: At t=0 the voltage drop on the capacitor is and points s and 1 are connected. 1) Which of the following statement describe what will happen in the circuit ? (select one) a. The capacitor will be charged to a final voltage of , with I being the current in the circuit b. The capacitor will disconnect the circuit so no current will exist c. The voltage will oscillate at an angular frequency of d. The...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage across the coil. Sketch the v and i curves. a. i = 10 sin 377t b. i = 7 sin(377t - 70°) 2. The voltage across a 1-micro F capacitor is provided below. What is the sinusoidal expression for the current? Sketch the v and i curves. v = 30 sin 400t 3. For the following pairs of voltages and currents, determine whether the...