Answered: A circuit has voltage equation of e =…

A circuit has voltage equation of e = 141 sin(wt -60°) - 56 sin(3wt -30°), V and current equation, i = 28 sin(wt - 30°) + 17 sin(3wt - 90°), A. Find the power factor of the circuit.

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

Related questions

Q: For the oscillator circuit shown in Fig., the expression for the time period of oscillation can be…

A: Given oscillator circuit: time constant, τ=RC.

Q: 1. What are the main components that make up a photoresist? 2. What is a two-component resist? What…

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

Q: Three point charges, -4Q, -2Q, and +5Q, are shown in the figure where Q = 95 µC. The -4Q point…

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

Q: Determine Is in the circuit below in Amperes (A) + 4V Is + 4V 5A - 2V + till 2A 2A 6V

Q: Write the differential equations for the DC motors in Fig Va (a) La ī dt e=Kom dia dt ○ Ladie + Rola…

Q: The resonant frequency of the circuit shown is most nearly (Hz): + C L R = 25 k2, L = 5 mH, C = 5 µF…

A: Given: A RLC circuit with R=25K Ohms L= 5mH C=5x10-6 F The Formula for resonant Frequency for a…

Q: For a periodic triangular signal shown in the figure, find the ratio of power of 5th harmonic to 3rd…

Q: 13. Compute the power dissipated in the 9 ohm resistor in the Fig. 2.250 by applying Superposition…

A: Given the circuit,

Q: -) In the following circuit using Kirchhoff's find: a) The current in each branch of the circuit. b)…

Q: refer to the circuit below, if R = 5 ohms, V1 = 10V, V2 = 4V and Is = 2A. R Vo V₂ what is the…

A: Concept Voltage in parallel branches will be same, and current in series branches will be same…

Q: Refer to the circuit below, if you short points a and b... 3 V 2 kn www 7 mA www 1kQ ww 5kQ a b what…

A: We need to find out the current for given short in the given circuit.

Q: he total resistance offered by the circuit shown below to the ource is ohms. V1 -200V R1 2602 R3 48Ω…

Q: Determine Ix for the following circuit using nodal analysis when Va=22 V, Vb=11 V, R1-19 Q2, R2=30…

A: We need to find out the current for given circuit by using of nodal analysis.

Q: Simplify the following expressions to co(t) [e-2t cos(t-60°)] 8(t), what is the c value? O 1/2 O…

A: simplify the expression

Q: refer to the circuit below, if R = 5 ohms, V1 = 10V, V2 = 4V and Is = 2A. V₁ Is R V₂ what is the…

Q: Determine ly for the following circuit using nodal analysis when I1=7 A, V1=42 V, R1=7 2, R2=3 2,…

A: We need to find out current for given circuit by using of nodal analysis .

Q: Find op for G(s)H(s) k (s+2) = (s + 1 + j) (s + 1 − j), k> 0 -

Q: (2) Consider a linear, time invariant system y(t)=H[u(t)]. The impulse response of the system is…

A: Given impulse response h(t) = sin(2πt) e-t ut) Laplace transform formulae. L{ e-at sin bt u(t) } =…

Q: Determine the power supplied by the independent voltage source in the circuit when V=12 V, R1=9 Ω…

Q: 1. Consider a system of two small spheres, one carrying a charge of 2.00 μC and the other a charge…

A: The magnitude of the potential point per unit charge is the electric potential at a specific…

Q: Consider the network shown in (Figure 1). Suppose that vs = 21 V Find the value of i1 Find the…

Q: How would a 0.22uF capacitor be marked using the usual 3-digit capacitor size code that is normal…

Q: Problem 4. A continuous-time periodic signal x(t) with period Thas Fourier series coefficients ax-…

A: Note: As here multiple questions are available so as per the Bartleby guideline, I am solving…

Q: Three +5 µC charges form an equilateral triangle with sides of length 20cm. One charge is located at…

A: The given figure is shown below, The three charges is 5 μC=5×10-6C The length is 20 cm =0.20 m

Q: Please find the transition matrix (t, 7) for the state-space system 0 [a(t) b(t) b(t) a(t) La(t)…

A: Given the state space system. x˙ =atbt0btat0at-at-btx Also given the initial condition, 110, 1-12,…

Q: A three-phase, three-wire, 500-V, 60-Hz source supplies a three-phase induction motor, a…

Q: 16. Three batteries P, Q and R consisting of 50, 55 and 60 cells in series respectively supply in…

A: In this question we need to find the load voltage and current supplied by each battery.

Q: 3.- Find I and I, I I, 6-12 352 + ひと ww 19

A: We need to find out the current for given circuit

Q: "" 4. 16 12 Þ 12 02 14 2 50 102 1202 for 150 + UKરે

A: Given the cirrcuit , VS=164 V

Q: please help me solve and set up the nodal analysis for v2, v3,v4..

A: The node voltage equation can be obtained by applying kirchhoff's current law to the node and by…

Q: R₁= 4 №, R₂= 3 №, R3= 3 N, R4= 2 Q, R5= 1 Ω Using Nodal analysis, Node A equation can be written as:…

A: We need to find out the coefficient for given equation by using of nodal analysis.

Q: Example 18 (Homework): Calculate the equivalent resistance Rab in the circuit in Fig. 1.32. Rab 80…

Q: The voltage gains of an amplifier without feedback and with negative feedback, are 100 and 20,…

A: Given: Voltage gains of amplifier without feedback, Aol=100. Voltage gains of amplifier with…

Q: An Intel 8085 processor is executing the program given below. MVI A, 10H MVI B, 10H BACK NOP ADD B…

A: Given: An intel 8085 processor is executing the program, Back: MVI A, 10HMVIB, 10HNOPADD BRLCJNC…

Q: In the circuit in (re), svetch has been in position and swich 2 has been closed for a long time. Att…

A: It is given that:

Q: A motor whose torque-speed curve is Tm= -0.5wm+50 when the input voltage is ea=10 V, drives the load…

A: Given Torque speed relation is Tm=-0.5 ωm+50 ea =10 V N1=40 N2=10 J 1 =3 kg-m2 J 2 =7 kg-m2 D=2…

Q: Find the Z-transform of the following discrete equations and check the stability for each. 3)…

A: Given data Two discrete equations are given below, 3) 6yn+yn-2+8xn=xn-2+xn-1+yn-1 4)…

Q: The op amp in the figure is ideal. (Figure 1). Figure 60 kn w 20 ΚΩ w 36 ΚΩ w 270 kՈ Հ 180 kn w va…

A: In this question We need to choose the correct option and need to determine the output voltage if…

Q: Refer to the circuit below and use nodal analysis 2A 202 Va 402 www 3V AND Vb 892 ww +1 602 What is…

A: Given Data: A super-node circuit of, Here consider the currents through the branches as above. To…

Q: An impedance coil having a resistance of 5 Q and inductance of 20 mH is connected to a voltage…

A: In this question we need to find the power dissipated in the circuit.

Q: 3. Consider the pnp circuit shown below. R₂ 2.4ΚΩ R₁ 9.1kΩ RE 0.91kΩ VCE + -12V Rc 2ΚΩ B = 125 a)…

A: Compared to N-type semiconductors, which represent the base, P-type semiconductors, which represent…

Q: Refer to the circuit below d 3Ω b 50 ww www www 3Ω a 30 ww 202 ↑I + O V = 36 V what is the current…

Q: A B n D E Figure 1 Output The circuit given above contains OR, AND and NOT gates and inputs A, B, C,…

A: Given: In this question, the given details are, The given circuit contains OR, AND and NOT gates and…

Q: 24. In Fig. 2.256 derive the expressions to replace a delta connected resistances by an equivalent…

Q: Find the mesh currents, I₁, I₂ and I,.

Q: Find the transfer function G(s) = Vo(s)/Vi(s), for each operational amplifier circuit shown in…

Q: What is the voltage VCE, and the collector current Ic in Fig. below? R₁ 10 ΚΩ R₂ 2.2 ΚΩ Vcc +25 V Rc…

Q: TOPIC: Transmission Lines, Power Systems, and Powerplants: INSTRUCTIONS: - Answer in this format:…

A: Introduction Three-phase Short Transmission Line: A three-phase short transmission line is a power…

Q: solution is incorrect. please resolve and get the right answer which based on my knowledge should be…

Q: A series RLC circuit has R = 50 2, L = 100 mH and C = 1 µF. Find the lower half power au of the…

Concept explainers

Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.

Question

A circuit has voltage equation of e = 141 sin(wt -60°) - 56 sin(3wt -30°), V and current
equation, i = 28 sin(wt - 30°) + 17 sin(3wt - 90°), A. Find the power factor of the circuit.

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 2 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

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…
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
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.
1) Two identical voltage waveforms of difference phase angles are shown in Figure B. Write down the expression of waveforms A and B clearly. HUS Voltage (V) 8 0 K/N B 7: ST ot
An alternating current is given by the expression i = 200 sin (314t + T/6) amperes. The maximum value is and the frequency of the current is
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 using a single 14 V dc voltage source.
Explain the following 1. Diffrence between DC and AC Electricity. 2. how to convert rectangular form to polar form and polar form to rectangular form. 3. why need to improve a power factor
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?
Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degrees
A resistor & a capacitor are connected in series across 230V, ac supply. The current taken by the circuit is 4 A for 50 Hz frequency. The current is reduced to 2 A, when the frequency of supply is decreased to 40 Hz. Determine the value of resistor & the capacitor.
PHASE RELATIONSHIP SINUSOIDAL( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
18 In the circuit shown in the figure below, for what value of C will the current-I be in phase with the sinusoidal source voltage V= sin2t? Vs (1 + j1) Q (a) -F 4 (b) (c) (d) 1F /-