For a circuit element (not shown) of unknown type and impedance, assume the voltage is v(t) = 170cos(120nt +15°) V and the current is i(t) = 21cos(120nt -30°) A. Find the Power Angle, 0, and Power Factor of the circuit element. Power Angle, 0 [°] (3 pts): Power Factor [unitless] (3 pts): 45°

For a circuit element (not shown) of unknown type and impedance, assume the voltage is v(t) = 170cos(120nt +15°) V and the current is i(t) = 21cos(120nt -30°) A. Find the Power Angle, 0, and Power Factor of the circuit element. Power Angle, 0 [°] (3 pts): Power Factor [unitless] (3 pts): 45°

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

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.53P

See similar textbooks

Related questions

Q: Problem 4. Find i(t). 12 mA ΣΚΩ R t = 0 +31mH ΙΜΗ Re στ i(t) 1 ΚΩ

Q: Our basis for the construction of line phasors is the COSINE function. A True B False

A: In this question we need to verify the given statement is true or false.

Q: Find the rms voltage, V1.rms, across the primary coil of the transformer. V1.rms [V]:

A: In this question We need to determine the rms current in the secondary side, voltage across the…

Q: 1. Which resistance(s) has no effect on the value of vo? a. 4 ohms b. 260 ohms c. 16 and 260 ohms…

Q: Given the closed loop system below with G(s): R(s) + E(s) G(s) Find the step response for the system…

Q: Question-2 : Consider the following circuit (assuming the ideal diode model): = VI +1 $45.0 D ich…

A: In an ideal half-wave rectifier, the diode conducts current only during the positive half-cycle of…

Q: 1. Using nodal-analysis and determine the v(t), IRC (t), and I₁ (t). is = 0.5 cos(100) A IRC(t)=_…

A: Answer: given that an AC circuit current source is = 0.5 cos100t = 0.5∠0° A inductance L = 1 H…

Q: Calculate I₁, and IAB using: a. Mesh Circuit Analysis a) Nodal Circuit Analysis b) Superposition…

A: In this problem , we need to find IL and Iab Using , network theorems Nodal ,mesh, thevenin's…

Q: Solve Using Thevenin's Theorem, Find V drop and I Drop at 25 ohms

A: The thevenin's equivalent circuit can be obtained by calculating the open circuit voltage and…

Q: To what extent has modern technology altered the way we talk to one another?

Q: EXERCISE 7.2.20 (a) Findiv(t) for t > 0 in the network shown below. 1 = 0 όμο 12V(+ ww 61 5 12 Ω ww…

Q: Problem 2: For the transfer function below (s + 4) s³ +68² +11s +6 write the state equations and the…

Q: For R1=4, R2-8, K-6, and I=45 in the circuit shown below, use KCL & KVL to find the following: R1 Ω…

A: In these questions We need to choose the correct options We know power P= VI Current I= V/R We are…

Q: Transmission mediums (twistted piars, coxial cable, microwave, satalitte, fiber optical).

A: To explain: We have to explain about transmission mediums as, twisted pairs, coaxial cable,…

Q: A digital circuit has 14 inputs and 3 outputs. The circuit has 9 registers. How many test patterns…

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

Q: I cant understand from extending rating and Rse part, can you write it clearer?

A: The basic voltmeter circuit is drawn below: where, Im=Ifs=Full scale deflection current Rm=Internal…

Q: Question 2 [ Consider the following circuit and answer the questions below. Ja 12V B R1 წი i1 ↓ R2…

Q: Question 1 Consider the circuit shown below where: R₁ = 10; R₂ = 8; C = 1/8 F; L=2 H; i (0) = ½ A;…

Q: Question 1 Given the below circuit, answer the following: R1 40 B i2=0.31A 6V A). A R2 30Ω R3 2002…

Q: 6) Considering the following relations: What is SºR? R = {(1,2), (1,4), (2,2), (3,3), (3,1), (4,2)}…

A: it is asked to find the composition of two relations R and S

Q: Determine the Thevenin equivalent resistance as seen by the 47-k load resistor/

A: Given: A circuit, To find: Thevenin equivalent resistance seen by the load resistance 47 KΩ.

Q: Problem #2) Determine the impedance values of the three "loads" and Vc in the following circuit if…

A: In this question We need to determine the equivalent impedance and voltage across the terminal L.…

Q: Q3) For the following Op-Amp circuit. Calculate V, when Vi=1.5V and Va=-3.8V. 20 ΚΩ 10 ΚΩ 60 ΚΩ 50…

Q: 4. Consider the following circuit: i(t) Vi(t) L R₁ m000 CR₂ C Assume the switch has been closed for…

A: In this question we need to find the initial voltage in capacitor and current through inductor. In…

Q: Vin R₁ L₁ C₁ leee Vout Assume R₁ = 2450, L₁ = 3.3mH, C₁ = 0.22μF, and = 35,000 sec for the above…

Q: Draw the continuous (DC load line) for the circuit and Find the value S? RB = 43 kΩ 10 μF www RE (a)…

Q: P4.11 One important objective of the paper-making process is to maintain uniform consistency of the…

Q: Determine the magnitude of the Electric Field Intensity at the origin given the following charge…

Q: 1. Given a Three-Phase Y Connection load: VLL=208 < 30° V P= 7500 W Power Factor= 0.9 Leading Find:…

A: In this question We need to determine the complex power and current in line and phase. We know…

Q: Q3/ Two 50 Hz generators of rating 100 MW and 300 MW are operating in parallel. Each of them has a…

Q: Both JFET transistors in the circuit have IDss = 10 mA and |Vpl = 4 V. Assume lp₁ = 1.5 mA, ID2 =…

Q: Question 31 If each capacitor has a value of 1 F, determine the equivalent capacitance of the…

A: here we have to find the equivalent capacitance of the network.

Q: Simplify the following Boolean expression using a K-map: f(w, x, y, z) = Σ(1, 2, 3, 5, 6, 7, 8, 10,…

Q: t = 0 20 mA 60 kn 100 ΚΩ t = 10 ms 45kΩΣ 1μF vc(t) • 150 ΚΩ Click to see additional instructions In…

Q: Question 1 Making use of the passive sign convention, determine the current flowing through a 220 nF…

Q: Consider the natural behavior of a critically damped series RLC circuit in which the initial current…

A: It is given that: R=5 ohmL=10 mHi0=0 A

Q: The following direct-current measurements were made on the two-port network shown in (Figure 1).…

A: Given Data: A two-port network with, Table of values at Port 2 Shorted V2=0 V Table of values at…

Q: Given a pure SINE phasor of magnitude 10 and a pure COSINE phasor of magnitude 10, the resultant…

A: In this question We need to determine the angle of resultant. Given two pure waveform.

Q: (d) With the aid of well-labeled waveform diagrams, explain Amplitude Modulation Frequency…

A: As per Bartleby's guidelines, only 1 question can be solved at a time. Please send other questions…

Q: 11. In a semiconductor the concentration of ionized donors is ND. the concentration of ionized…

Q: 3-1 The current through a meter movement is 150 μApk What is the da value if the instrument uses…

A: Note: Since you have asked multiple questions, As per the Bartleby guideline, Sill I am solving the…

Q: Compute the values of differential mode voltage gain when the emitter resistance changes from 150…

A: The Differential amplifier circuit is given as This is dual input and unbalanced output system.

Q: VIN R1 R3 100 R2 3 2=R1C1 C1 R1 - R2 1 RESET VOUT -- AICI VIN dt RIC1 t LM107 6 VOUT supply voltage…

Q: Problem #2) Determine the impedance values of the three "loads" and Vc in the following circuit if…

A: In this question We need to find out the equivalent impedance and voltage across the terminal L. We…

Q: 7) Using Kirchoff's Laws to solve the current across each resistor in the circuit below Vs 10V R1…

Q: (i) Horizontal Straight Tube Boiler for thermal power plant. (ii) Cyclone Fired Boiler for thermal…

A: A horizontal straight tube boiler is a type of water tube boiler commonly used in thermal power…

Q: Find component form ||v||=12 and the angle is 120 degrees.

Q: For the Figure 8 shown: A 494 -km long, 48 Hz, three-phase, transmission line is composed 2 parallel…

Q: 1. Write a Verilog code (one line) that implements the schematic below a P BD B

A: here we have to write the verilog code for the given diagram

Q: 7. Find io(t) for t > 0 in the network shown below assuming that the switch has been closed for a…

Concept explainers

Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.

Question

For a circuit element (not shown) of unknown type and impedance, assume the voltage is
v(t) = 170cos(120nt +15°) V and the current is i(t) = 21cos(120nt -30°) A.
Find the Power Angle, 0, and Power Factor of the circuit element.
Power Angle, 0 [°] (3 pts): 45°
Power Factor [unitless] (3 pts):

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 by step

Solved in 2 steps

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

In the circuit of figure shown in the next slide, three impedances are 12 – j10 ohms, 10 + j20 ohms, and 15 + j0 ohms, connected between conductors a, b, c and the neutral “n” of a balanced 230 volts, 60 hertz, 3 phase, 4 wire, ABC system. Using Van as the reference vector, determine:a. Current in each impedanceb. Neutral current Inc. Readings of wattmeters W1, W2, & W3d. Power in each impedance
A generator is rated 100 MW, 13.8kV and 90% power factor. The effectiveresistance is 1.5 times the ohmic resistance. The ohmic resistance isobtained by connecting two terminals to a DC source. The current andvoltage are 87.6 A and 6 V respectively. What is the DC resistance perphase? What is the effective resistance per phase? Whole Solution
This wind farm needs a 250 km connection laid to Sommerville. The choice is either a 3 phase system or a bipolar dc system at 400 kV and ±400 kV at the receiving end respectively. (i) The 3-phase system has resistive losses per phase of 0.1 Ω/km. Calculate the system losses (in watts) when delivering 0.8 GW. (ii) The bipolar dc system has resistive losses of 0.1 Ω/km. Calculate the system losses (in watts) when delivering 0.8 GW. (iii) Calculate the efficiencies of the two systems. (iv) Comment on which system you would choose to use and why.
A 2000 KVA, 6600/400V , Delta/Star was performed with short circuit and Open circuit test with the following results:O.C. Test : 400V, 150A and 15kwS.C. Test: 400V, 175A and 17kwDetermine the percent impedance drop for resistance, reactance and impedance. Also calculate for the efficiency at half load, 0.85pf lagging and full load, 0.8pf leading.
A 2000 KVA, 6600/400V , STAR/Delta was performed with short circuit and Open circuit test with the following results: O.C. Test : 400V, 150A and 15kw S.C. Test: 400V, 175A and 17kw Determine the percent impedance drop for resistance, reactance and impedance. Also calculate for the efficiency at half load, 0.80pf lagging and full load, 0.85pf leading.
The following data were obtained on a 2.5 MVA, 50-Hz, 19.1-kV:3.81-kV single-phase transformertested at 50 Hz:Voltage (V) Current (A) Power (kW)LV winding with HV terminals open-circuited: 3810 9.86 8.14HV winding with LV terminals short-circuited: 920 141 10.3
A voltmeter, ammeter, amd wattmeter are connected with suitable instrument transformers into a single-phase circuit as per figure, the following data was taken: current transformer ratio 5 to 1, potencial transformer ratio 20 to 1, voltmeter reading 100 V, ammeter reading 5 A, wattmeter reading 360 W find Power factor : a) 56%, b) 63.02%, c) 72%, d) none Power : a) 360 W, b) 3,600 W, C) 36,000 W, d) none
For a 220V, 60Hz single phase voltage controller is used for controlling flow of power in to a circuit consisting load of Xl =12 ohms and R=5 ohms. Which of the following represents the correct value of the maximum power and power transfer? (a) Pmax=9.68 kW, p.f =0.6 (b) Pmax=3.72 kW, p.f =0.6 (a) Pmax=9.38 kW, p.f =0.38 (a) Pmax=1.43 kW, p.f =0.38
Consider the microgrid of Figure 3.66. A three-phase transformer, T1, israted at 500 kVA, 220 VY grounded/440 V delta, a transformerwith a reactance of 3.5%.Themicrogridis supplied from anAC bus of a PV generating station.The DC bus rated at 540 V.The distributionlineis 10mileslong and has a series impedance of 0.1 + j1.0 Ω per mile and local load of 100 kVA at 440 V. The microgrid is connected to the local power grid using a three-phase transformer T2, rated at 440 V Y grounded/13.2 kV delta,500 kVA with a reactance of 8%. Compute the per unitimpedance diagram of the microgrid system. Assume the voltage base of 13.2 kV on the local power grid side and kVA base of 500
In the circuit of figure shown in the next slide, threeimpedances are 12 – j10 ohms, 10 + j20 ohms, and 15 + j0ohms, connected between conductors a, b, c and the neutral“n” of a balanced 230 volts, 60 hertz, 3 phase, 4 wire, ABCsystem. Using Van as the reference vector, determine:a. Current in each impedanceb. Neutral current Inc. Readings of wattmeters W1, W2, & W3d. Power in each impedance ..
The following information is given in connection with three loads that are connected in parallel to a 230 volts ac line. Load 1: 4.6KW at unity power factorLoad 2: 11.5KVA at lagging power factor of 0.62Load 3: 5.52KW at leading power factor of 0.8 Calculate the:a. Total currentb. Overall power factor c. Total power d. Total reactive power e. Draw the phasor diagram of the current
A series circuit composed of a resistance of 24 ohms, an inductance of 0.09 henry and a capacitance of 8 microfarad, is connected to a 120-volt 50-Hz supply. Calculate (a) the line current, (b) impedance of the circuit, (c) voltage drop, (d) total reactive power, (e) power factor.