The variable resistor Ro.in the circuit shown in Figure is adjusted until maximum average power is delivered to Ro. a) What is the value of Roin ohms? b) Calculate the average power delivered to Ro? c) If Ro is replaced with a variable impedance Zo what is the maximum average power that can be delivered to Zo? 100 V (ms) | 501 www 50 ww -150 HE

The variable resistor Ro.in the circuit shown in Figure is adjusted until maximum average power is delivered to Ro. a) What is the value of Roin ohms? b) Calculate the average power delivered to Ro? c) If Ro is replaced with a variable impedance Zo what is the maximum average power that can be delivered to Zo? 100 V (ms) | 501 www 50 ww -150 HE

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 2.10P: For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real...

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The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.
Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.
Under balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.
Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current i(t)=5cos(t+50)A. (a) Determine the power triangle. (b) Find the power factor and specify whether it is lagging or leading. (c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.
An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor lagging. (a) Compute the required kVA rating of a shunt capacitor to improve the power factor to 0.9 lagging. (b) Calculate the resulting power factor if a synchronous motor rated at 500 hp with 90 efficiency operating at rated load and at unity power factor is added to the plant instead of the capacitor. Assume constant voltage (1hp=0.746kW).
Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.
For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed). (c) the reactive power (state whether delivered or absorbed). (d) the power factor (state whether lagging or leading). [Note: By convention the power factor cos() is positive. If | | is greater than 90, then the reference direction for current may be reversed, resulting in a positive value of cos() ].
A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)
If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by (a) 1202cos(t+60) (b) 120cos(t+60) (c) 1202sin(t+60)
The variable resistor Ro in the circuit shown is adjusted until maximum average power is delivered to Ro.1. a) What is the value of Ro in ohms?2. b) Calculate the average power delivered to Ro.3. c) If Ro is replaced with a variable impedance Zo, what is themaximum average power that can be delivered to Zo?4. d) In (c), what percentage of the circuit’s developed power isdelivered to the load Zo?
There is a load formed by the series connection of the resistor R0 and the inductance L0 between the terminals a and b in the figure. The amplitude of the voltage Vs (t) is √2 150 volts, phase angle θs = 0 ° degrees, period T = 200π microseconds Since R = 300 Ω and C = 1µF a) If L0 = 0 H is constant, find the value of R0 that allows the load to draw the maximum average power from the circuit. b) calculate the average power on the load
The amplitude of the voltage Vs (t) is 2 1/2 150 volts, the phase angle isQs = 0 degrees, its period is T = 200Pi microseconds.Since R = 300 ohms and C = 1 pico farad:a) Find the values of R0 and L0 that allow the load to draw the maximum average power from the circuit.b) Calculate the complex power on the load.