*P5.21. Suppose that v1(t) = 100 cos(wt) and V2(t) = 100 sin(wt). Use phasors to reducethe sum v, (t) = v1(t) + v2(t) to a single term of the form Vm cos(wt + 0). Draw a phasordiagram, showing V1, V2, and V,. State the phase relationships between each pair of thesephasors.

In this question we have to find the sum of phasors v1(t) +v2(t) and also draw the phasor diagram

Answered: *P5.21. Suppose that v1 (t) = 100 cos…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Consider the phasors shown in Figure P5.22. The frequency of each signal is f=200 Hz. Write a time-domain expression for each voltage in the form Vm cos(ωt+θ). State the phase relationships between pairs of these phasors.
Consider the situation shown in Figure P5.85. A 1000-V-rms source delivers power to a load. The load consumes 100 kW with a power factor of 25 percent lagging. a. Find the phasor I, assuming that the capacitor is not connected to the circuit. b. Find the value of the capacitance that must be connected in parallel with the load to achieve a power factor of 100 percent. Usually, power-systems engineers rate capacitances used for power-factor correction in terms of their reactive power rating. What is the rating of this capacitance in kVAR? Assuming that this capacitance is connected, find the new value for the phasor I. c. Suppose that the source is connected to the load by a long distance. What are the potential advantages and disadvantages of connecting the capacitance across the load?
Two sinusoidal voltages of the same frequency have rms values of 8 V and 3 V. What is the smallest rms value that the sum of these voltages could have? The largest? Justify your answers.
Solve for the mesh currents shown in Figure P5.54.
Find the phasors for the voltage and the currents of the circuit shown in Figure P5.47. Construct a phasor diagram showing Is, V, IR and IL. What is the phase relationship between V and Is ?
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.
Find the phasors for the current and for the voltages of the circuit shown in FigureP5.41. Construct a phasor diagram showing and What is the phase relationshipbetween and I?
In the circuit of Fig. P5.24, R = 5 ohms, C = 20 microF, and L = 7.25 mH. The steady- state voltage across L is VL = 145 sqrt(2) cos (2000t + 90°) V.(a) Calculate phasors IL and Vc. (b) Predict phasors IR and I.(c) Specify /(t).
Find the total impedance, voltage drop on the 100-ohm resistor, draw the phasor diagram of the voltage and current at R1, total power (apparent) delivered by the current source, draw the phasor diagram of the voltage and current at the source. Also, is the circuit inductive, capacitive, or neither (resistive)? please give the step-by-step solution NOTE: Polar form for Voltage & Current. Rectangular form for Impedance
Consider the circuit shown in Figure P5.79. Find the phasor current I. Find the power, reactive power, and apparent power delivered by the source. Find the power factor and state whether it is lagging or leading. Repeat Problem P5.79, replacing the inductance by a 10- μF capacitance.
The Thévenin equivalent of a two-terminal network is shown in Figure P5.93. The frequency is f=60 Hz. We wish to connect a load across terminals that consists of a resistance and a capacitance in series such that the power delivered to the resistance is maximized. Find the value of the resistance and the value of the capacitance. Repeat Problem P5.93 with the load required to consist of a resistance and a capacitance in parallel.
Solve for the node voltage shown in Figure P5.54.

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*P5.21. Suppose that v1 (t) = 100 cos (wt) and v2(t) = 100 sin(wt). Use phasors to reduce the sum v, (t) = v1(t) + v2 (t) to a single term of the form Vm cos(wt + 0). Draw a phasor diagram, showing V1, V2, and Vs. State the phase relationships between each pair of these phasors.