! -j3NIsILIRVcVsj6NViR Ž 122Figure QI(b)(b) An ideal voltage source is connected with one resistor, one capacitor, and one inductor asshown in Figure QI(b). The source provides an ideal sinusoidal voltage Vs = 15 V withfrequency f= 50 Hz. Underlined quantities are phasors.i)Explain impedance and admittance. Then, calculate the combined admittance YLRof the resistor and inductor, and the total impedance ZCLR of the resistor, inductor,and capacitor, presented to the voltage source.ii) Explain nodal analysis. Then, using nodal analysis and taking Vs as the referencephasor, calculate the phasor voltages VLR, and Vc.iii)Calculate the phasor currents Is. I and IR.

Answered: Image /qna-images/answer/bca34393-bf68-436e-838c-33ed678e0a58.jpg

-j30 Is IL IR Vc Vs j6N ViR 122 Figure QI(b) (b) An ideal voltage source is connected with one resistor, one capacitor, and one inductor as shown in Figure QI(b). The source provides an ideal sinusoidal voltage Vs = 15 V with frequency f= 50 Hz. Underlined quantities are phasors. i) Explain impedance and admittance. Then, caleulate the combined admittance YLR of the resistor and inductor, and the total impedance ZaLR of the resistor, inductor, and capacitor, presented to the voltage source. ii) Explain nodal analysis. Then, using nodal analysis and taking Vs as the reference phasor, calculate the phasor voltages VLR, and Vc. ii) Calculate the phasor currents Is. I and IR.

-j30 Is IL IR Vc Vs j6N ViR 122 Figure QI(b) (b) An ideal voltage source is connected with one resistor, one capacitor, and one inductor as shown in Figure QI(b). The source provides an ideal sinusoidal voltage Vs = 15 V with frequency f= 50 Hz. Underlined quantities are phasors. i) Explain impedance and admittance. Then, caleulate the combined admittance YLR of the resistor and inductor, and the total impedance ZaLR of the resistor, inductor, and capacitor, presented to the voltage source. ii) Explain nodal analysis. Then, using nodal analysis and taking Vs as the reference phasor, calculate the phasor voltages VLR, and Vc. ii) Calculate the phasor currents Is. I and IR.

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 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...

See similar textbooks

Similar questions

An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
Ac - 100 VrmsR1 - 1kR2 - 500Rload - 1kCapacitor - 2uF Q1. How much is the capacitor voltage lagging from the AC source
What are some real-world applications of sinusoidal functions? Please discuss to some depth and also explain how having knowledge of trigonometry can be useful in these applications.
Assuming that a nonzero ac voltage source is applied, what can you say about whether the power and reactive power are positive, negative, or zero for a pure capacitance in series with a pure inductance? Consider cases in which the impedance magnitude of the capacitance is greater than, equal to, or less than the impedance magnitude of the inductance. Repeat Problem P5.74 for the inductance and capacitance in parallel.
1. For the following sinusoids, determine which one leads and by how much a. ?(?) = 10cos (4? − 60°) and ?(?) = 6sin (4? + 50°)b. ?ଵ(?) = 4cos (377? + 10°) and ?ଶ(?) = −20cos(377?)c. ?(?) = 13 cos(2?) + 5 sin(2?) and ?(?) = 15cos (2? − 11.8°)
Assuming that a nonzero ac voltage source is applied, what can you say about whether the power and reactive power are positive, negative, or zero for a pure capacitance in series with a pure inductance? Consider cases in which the impedance magnitude of the capacitance is greater than, equal to, or less than the impedance magnitude of the inductance.
A voltage vC(t)=10 cos(2000πt) is applied to a 10-μF capacitance. Find the complex impedance of the capacitance. Find the phasor voltage and current, and construct a phasor diagram. Write the current as a function of time. Sketch the voltage and current to scale versus time. State the phase relationship between the current and voltage.
Write the relationship between the phasor voltage and phasor current for an inductance. Repeat for capacitance
A resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.
Prove the answer on this characteristics of sinusoids
A source provides a sinusoidal current is (t) of 60 Hz to two resistors and a capacitor, so that a current ic (t) flows through this last element. a) If R2 = 1, design R1 and C so that the effective value of ic (t) is half that of is (t) and so that the phase shift between these currents is 45 °
Given the applied source and network below: a. Determine the sinusoidal expression for the source voltage ?? b. Find the sinusoidal expressions for the currents ?1 and ?2.