Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V| cos(10t + X) орьсо прис is (t) i₁(t) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V

Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V| cos(10t + X) орьсо прис is (t) i₁(t) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

See similar textbooks

Similar questions

(a) Transform v(t)=75cos(377t15) to phasor form. Comment on whether =377 appears in your answer. (b) Transform V=5010 to instantaneous form. Assume that =377. (c) Add the two sinusoidal functions a(t) and b(t) of the same frequency given as follows: a(t)=A2cos(t+) and b(t)=B2cos(t+). Use phasor methods and obtain the resultant c(t). Does the resultant have the same frequency?
Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your answers in both rectangular and polar form. (a) i(t)=5002cos(t30) (b) i(t)=4sin(t+30) (c) i(t)=5cos(t15)+42sin(t+30)
PHASE RELATIONSHIP SINUSOIDAL( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
The source in the circuit shown is a sinusoidal source. The supply voltages across various elements are marked in the figure. The input voltage is: 3V- ww -14 V-10V moon It
please write the complete solution and the topic is AC parallel circuits thank you A sinusoidal 50 Hz voltage of 200 V(rms) supplies the following three circuits which are inparallel (i) a coil of inductance 0.03 H and resistance 3 ohms,(ii) a capacitor of 40 microfaradin series with a resistance of 100 ohms, (iii) a coil of inductance 0.02 H and resistance 7 ohmsin series with a 300 microfarad capacitor. Find the total current supplied.
Let's say you measure t1/2 to be 0.037 seconds and the resistance in the circuit is 68 Ohms. Then what is the capacitance in micro Farads? Answer in micro Farads.
An inductive impedance made up of a resistor and an inductor has the characteristic that its currentadvances in phase to the voltage at the impedance A) lags in phase with the voltage across the impedance B) is in phase with the voltage across the impedance. C) None of the above
Problem Design a circuit to limit a 20 V rms sinusoidal voltage to a maximum positive amplitude of 10 V and a maximum negative amplitude of -5 V using a single 14 V dc voltage source.
Find the phasor voltage Vab between points A and B in the figure.
Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…
QUESTION 3 An inductor, a capacitor, and a resistor are connected in series with a function generator. The inductor drops 5V RMS, the capacitor drops 20V RMS, and the resistor drops 2V RMS. Find the magnitude of the total voltage. O 27V RMS O 15V RMS O 38V RMS O 9V RMS
H.W 2 An AC circuit includes two sections AB and BC in series. The section AB consists of two branches in parallel. The first of these is formed of resistance of 60 2 in series with a capacitor of 50 mF, while the second consists of a resistance of 60 2 having an inductance of 250 mH. The section BC consists of a resistance of 100 N having an inductance of 300 mH. The frequency of the current is 50 Hz. The voltage across section AB is 500 V. What is the voltage across the section BC?