a) A source voltage of 230V rms at 50HZ is applied to a circuit having an impedance of (10+j12) ohms. Determine the average power dissipated, power factor and current drawn from the mains (uncompensated system). b) The value of capacitor required to improve the PF to unity.

a) A source voltage of 230V rms at 50HZ is applied to a circuit having an impedance of (10+j12) ohms. Determine the average power dissipated, power factor and current drawn from the mains (uncompensated system). b) The value of capacitor required to improve the PF to unity.

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 2.3P: The instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous...

See similar textbooks

Related questions

Q: Three Impedances each of (8 - j22)N are connected in mesh across a three-phase 400V ac supply.…

A: According the given equation, we can make the circuit diagram shown below

Q: (b) Given a voltage and current waveforms (t) =160 cos 50t V and (t) = -20 sin (50t – 30°) A, being…

A: Given : Voltage waveform V(t) = 160 Cos(50t) V Current waveform i(t) = -20 sin(50t-30°)…

Q: Calculate the Apparent power (complex in VA), real power (real part in W) and reactive power…

A: Let the current flowing through 40 Ω from top node to bottom node is I1 and the current…

Q: motor connected to a 220-V supply line from the power company has a current of 7.6 A. Both the…

A: In this question RMS voltage and current given....We have to find out apparent , reactive power ,…

Q: Q.1) The variable load resistor RL in the circuit is adjusted for maximum average power transfer to…

A: a) The given figure is, Determining the Thevenin’s equivalent across load resistor

Q: 7.6 A residential electric power monitoring system rated for 120-V rms, 60-Hz source registers power…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: There is a load formed by the series connection of the resistor R0 and the inductance L0 between the…

Q: n the figure given below, the rms value of the line voltage is 238 V. Find the average power…

Q: A motor connected to a 230-V power supply line has a current flow of 7.6 A. Both the current and the…

Q: Q6. The three-phase average power rating of a central processing unit (CPU) on a mainframe digital…

A: Power = 3×VL× IL×cos(pi) From above find the power factor angle then find the reactive power Q =…

Q: The rms value of a three-phase balanced ac voltage source is 173V. Such voltage source is used to…

A: Given RMS value of three phase balanced ac voltage =173V Assuming line to line voltage⇒…

Q: The impedance ZL in the circuit is adjusted for maximum average power transfer to ZL. The internal…

Q: There is a load formed by the series connection of the resistor R0 and the inductance L0 between the…

Q: The rms value of a 60HZ single phase ac voltage source is 100V and its internal resistance is 0.1 Q.…

A: In the question, A voltage sources V= 100V & 60Hz is supplied to resistance R= 1ohm Inductance…

Q: The 9 Ω resistor in the circuit is replaced with a variable impedance Zo. Assume Zo is adjusted for…

Q: 1. A 500-V rms, 60-Hz feeder line supplies an industrial plant consisting of a motor drawing 70 kW…

A: 500V rms, 60Hz feeder line Three type load consist, motor , Capacitor and lightening load.…

Q: The two loads shown can be described as follows: Load 1 absorbs an average power of 60 kW and…

A: a) Calculating root mean square value of load voltage is Calculating apparent power absorbed to…

Q: The rms value of a 60HZ single phase ac voltage source is 100V and its internal resistance is 0.1 Q.…

A: b)xL=wL=2π×60×10-3 =0.3769ΩZ=0.1+1+j0.3769 =1.1+1+j0.3769…

Q: Derive an expression for V(rms)» fundamental and harmonic components of the load voltage as a…

Q: For a single phase ac voltage controller/chopper, which is d series R (=8[Ohm]) and L(=30 [mH])…

Q: A 50 kW load operates from a 60 Hz, 10 kV rms line with a power factor of 0.6 lagging. Determine the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Two parallel loads in the circuit below can be described as follows: Load L absorbs an average power…

A: Given that Electrical network as follows Given that Load L1leadingAbsorbs pavg=8kwcosϕ=0.8…

Q: A balanced wye-connected three-phase source has line-to-neutral voltages of 240 V rms. Find the rms…

A: Given data, The value of phase rms voltage VPrms = 240 V. The value of resistance R1 = 10 Ω The…

Q: An industrial plant is connected to a 600 Vrms, 90 Hz power line and draws 90 kW at a lagging power…

A: The complex power in an AC system is defined as the product of rms value of applied voltage and…

Q: The load impedance in the circuit shown is shunted by a capacitor having a capacitive reac- tance of…

A: In Network Phasor load current and voltage Real and imaginary power across load , transmission…

Q: An AC generator having an internal resistance of 2 k*(omega) is connected to an LCR circuit in…

A: PART (a): The circuit is: Given, L=40π HC=10π μFR=2 kΩr=2 kΩE=282 sin 100πt Vω=100π

Q: The motor inside a blender can be modeled as aresistance in series with an inductance, as shown…

A: Consider the frequency of the voltage source is 60 Hz. Write the expression for the inductive…

Q: The circuit shown in Figure Q5.1 consists of a current source connected to a load via a cable. The…

A: Current is given , On comparing with standard equation. Taking cos as reference current will be,

Q: (b) Calculate the average power delivered to Ro. (c) If Ra is replaced with a variable impedance Z0%…

A: Solution- Given , keeping the a-b terminal open circuited and measure the open circuit voltage…

Q: The rms value of a single-phase ac voltage source is V. The voltage source will power two loads in…

A: a)Z,is associated with Resistor (R1) and inductor(L),both are in series Reactance of L, jxL=j 2πf…

Q: Between the terminals a and b in the figure, there is a load formed by connecting the resistor R0…

Q: Objective 1-Understand ac power concepts, their relationshi 10.4 The load impedance in the circuit…

Q: Referring to the Figure 1 below, set the value of voltage Vs as: - Vs (rms) = (120+the last 2 digit…

Q: For the shown rms. ind the value of coupling coefficient "k" and put J60 J72 the dots on the coils,…

Q: A transformer has a ratio of 4:1. The high voltage side is connected to a 240 Vrms source. The low…

Q: From the circuit given below, How can I find the value of load Z for the maximum power transfer and…

A: According to question: The value of 'Z' for maximum power transfer is calculated as…

Q: A 50 kW load operates from a 60 Hz, 10 kV rms line with a power factor of 0.6 lagging. Determine the…

A: As per Bartleby guidelines we are allowed to solve only three subparts, please ask the rest again.

Q: Q.1. If an RMS current of 5 A at 60 Hz flows through an inductor of 10 mH, what is its average…

Q: In the case of reactive power compensation in a low voltage distribution network and increasing the…

A: In compensation of reactive power of a network, the active power consumed by network always remains.…

Q: In the circuit in the figure, there is a load consisting of the series connection of the resistor R0…

Q: In an electric power system, it is given that the effective impedance of the generator station is Rs…

Q: A a 10+ j102 Va = 200 Z0°V, rms 10+ j10Q 10+ j102 n bB b V. В B.

Q: Determine: a. The network power factor b. The network phase angle c. The network impedance d.…

Q: ele For the entire circuit shown below, calculate: (a) the power factor, (b) the average power…

A: Power calculation

Q: Q.5. (Ei 10) State True or false a- The DC load flow study is a linear analysis b- In a load…

A: Statement is False DC load flow equations are alzebric because they are static equations of a system…

Q: Given a sinusoidal voltage source in series with R,L, and C. The sinusoidal frequency is 600 Hz. R=2…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The two loads shown below can be described as follows: load 1 absorbs an average power of 60kW and…

Q: A 60-Hz, single-phase power line and a telephone line are parallel to each other as shown in the…

Q: Businessman Lance Smile own two large malls in Basilan Island. Both malls are connected in parallel…

A: Power factor: It tells how much the active power is utilized by the circuit from the apparent power.…

Concept explainers

KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.

Question

a) A source voltage of 230V rms at 50HZ is applied to a circuit having an impedance of
(10+j12) ohms. Determine the average power dissipated, power factor and current drawn
from the mains (uncompensated system).
b) The value of capacitor required to improve the PF to unity.
c) Verify analytical results with LTspice simulation results.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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.
Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.
The instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous current entering the positive terminal of the circuit element is i(t)=100cos(t+10)A. For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using cos(t) as the reference.
1. A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply. a. What is the complex impedance of the load? b. What is the ac current through this load? c. What is theta, the angle between voltage and current through this load? d. What is the power factor? e. What capacitance should be added in parallel with this load to correct the power factor to 1? f. What is the current from the supply when the power factor is corrected?
The sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?
The 9 Ω resistor in the circuit is replaced with a variable impedance Zo. Assume Zo is adjusted for maximum average power transfer to Zo. 1. a) What is the maximum average power that can be delivered toZo?2. b) What is the average power developed by the ideal voltage sourcewhen maximum average power is delivered to Zo?3. c) Choose single components from Appendix H to form animpedance that dissipates average power closest to the value in part(a). Assume the source frequency is 60 Hz.
An AC generator having an internal resistance of 2 k*(omega) is connected to an LCR circuit in series as shown in the figure. If the generator supplies an electromotive force, E = 282 sen (100*pi*t) volt, calculate:a) the impedance of the circuitb) the rms value of the current in the circuitc) the voltage drop across L, C and R
A residential electric power monitoring system ratedfor 120-V rms, 60-Hz source registers powerconsumption of 1.2 kW, with a power factor of 0.8.Finda. The rms current.b. The phase angle.c. The system impedance.d. The system resistance.
A Y-connected balanced three-phase source is feeding a balanced three-phase load. The voltage and current of the source coil are: Calculate the following: The rms phase voltage. The rms line-to-line voltage. The rms current in the source. The rms current in the transmission line. The frequency of the supply. The power factor at the source side, state leading or lagging. The three-phase real power delivered to the load. The three-phase reactive power delivered to the load. If the load is connected in delta configuration, calculate the load impedance.
S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.
A network is supplied by a 120 V rms, 60-Hz voltage source. An ammeter and a wattmeter indicate that 12 A rms is drawn from the source and 800 W are consumed by the network. Determine: a. The network power factor b. The network phase angle c. The network impedance d. The equivalent resistance and reactance of the network
Between the terminals a and b in the figure, there is a load formed by connecting the resistor R0 and inductance L0 in series. The amplitude of the voltage Vs (t) is √2 150 volt phase angle Qs = 0 degree period T = 200π microseconds. Since R = 300ohm and C = 1 microfarad A) If the load phase angle QL = 30 degrees, find the values of R0 and L0 that enable the load to draw the maximum average power from the circuit. =? B) Calculate the average power on the load. =?