QUESTION 3 3.1 In an AC circuit, the sinusoidal voltage v(t) has a peak-to-peak value of 10/2 V and a period of seconds. The sinusoidal current i(t) leads the voltage by 15° 120 and has an RMS value of 4 A. (a) Express the voltage and current as time-domain expressions i.e. a function of time. The sinusoidal voltage v(t) has no initial phase angle. (b) Express the v(t) and i(t) as phasors.

QUESTION 3 3.1 In an AC circuit, the sinusoidal voltage v(t) has a peak-to-peak value of 10/2 V and a period of seconds. The sinusoidal current i(t) leads the voltage by 15° 120 and has an RMS value of 4 A. (a) Express the voltage and current as time-domain expressions i.e. a function of time. The sinusoidal voltage v(t) has no initial phase angle. (b) Express the v(t) and i(t) as phasors.

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 2.2MCQ: If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by...

See similar textbooks

Similar questions

a) Explain why root mean square (RMS) is used to quantify the strength of an AC signal. b) If SI units are Meter (m), Kilogram (kg), Second (s), Ampere (A), Kelvin (K), Mole (M) and Candela (C), then express Voltage, Resistance, Capacitance, Inductance, Power and Energy in terms of SI units.
A dc voltage equal to Vdc V is applied to a resistor of R Ω. Asinusoidal voltage equal to vs V is also applied to a resistor of R Ω.Show that the dc voltage will deliver the same amount of energy in Tseconds (where T is the period of the sinusoidal voltage) as thesinusoidal voltage provided Vdc equals the rms value of vs. (Hint:Equate the two expressions for the energy delivered to the resistor.)
1. What effect does changing the frequency on the effective value of sinusoidal voltage? 2. What effect does changing the amplitude on the effective value of sinusoidal voltage?
Consider the sinusoidal voltagev(t)=40 cos(100πt+60∘) V.1. What is the maximum amplitude of the voltage?2. What is the frequency in hertz?3. What is the frequency in radians per second?4. What is the phase angle in radians?5. What is the phase angle in degrees?6. What is the period in milliseconds?7. What is the first time after t=0 that v=−40 V?8. The sinusoidal function is shifted 10/3 ms to the right along thetime axis. What is the expression for v(t)?9. What is the minimum number of milliseconds that the functionmust be shifted to the left if the expression for v(t) is40 sin 100πt V?
Give the solution for J and K ONLY ans (0.99959 degrees and 63.643 ms respectively).Read A 70-Vac source has the following waveform. Determine:a. Vpkb. Vpk-pkc. Vrmsd. Periode. Frequencyf. Angular Velocityg. Phase Angleh. equation of the waveform (in time domain)i. the instantaneous voltage when t = 120 msj. the angle (1st occurrence) after t = 0 when the voltage is +80 Vk. the time (2nd occurrence) after t = 0 when the voltage is –10 VAnswers:a. 98.9949 Vb. 197.9899 Vc. 70 Vd. 100 mse. 10 Hzf. 20π rad/secg. 125.0876°h. v(t) = 98.9949sin(20πt + 125.0876°)i. -29.0880 Vj. 0.99959°k. 63.643 ms
Two alternating voltages are given by v1 = 15sinωt volts and v2 = 25 sin (ωt – π/6) volts. Plot both functions on the same axes and hence determine a sinusoidal expression for the resultant vr = v1 + v2. Check your answer using an analytical method. Your manager has asked you to analyse the variation in in results between the two methods
The rms value of the sinusoidal voltage supplied to the convenienceoutlet of a home in the United States is 120 V. What is the maximumvalue of the voltage at the outlet?
1. A 70-Vac source has the following waveform. Determine: a. Vpkb. Vpk-pkc. Vrmsd. Periode. Frequencyf. Angular Velocityg. Phase Angle h. equation of the waveform (in time domain)i. the instantaneous voltage when t = 120 msj. the angle (1st occurrence) after t = 0 when the voltage is +80 Vk. the time (2nd occurrence) after t = 0 when the voltage is –10 VAnswers:a. 98.9949 Vb. 197.9899 Vc. 70 Vd. 100 mse. 10 Hzf. 20π rad/secg. 54.9124°h. v(t) = 98.9949sin(20πt - 54.9124°)i. 29.0880 Vj. 108.8253°k. 66.8639 msGive the solution for K ONLY Ans: 66.8639 ms
Consider a 760 W light bulb that requires an RMS voltage 21 V to operate normally. How large should an inductance be connected in series with the bulb if the combination is connected across a RMS voltage 255 V, 71 Hz line? (You may neglect the resistance of the inductor and the inductance of the light bulb.)
Read A 70-Vac source has the following waveform. Determine:a. Vpkb. Vpk-pkc. Vrmsd. Periode. Frequencyf. Angular Velocityg. Phase Angleh. equation of the waveform (in time domain)i. the instantaneous voltage when t = 120 msj. the angle (1st occurrence) after t = 0 when the voltage is +80 Vk. the time (2nd occurrence) after t = 0 when the voltage is –10 VAnswers:a. 98.9949 Vb. 197.9899 Vc. 70 Vd. 100 mse. 10 Hzf. 20π rad/secg. 125.0876°h. v(t) = 98.9949sin(20πt + 125.0876°)i. -29.0880 Vj. 0.99959°k. 63.643 ms Give the solution for J and K ONLY ans (0.99959 degrees and 63.643 ms respectively)
A sinusoidal voltage v(t) has an rms value of 20 V, has a period of 100 μs, and reaches a positive peak at t=20 μs. Write an expression for v(t).
A voltage waveform is shown below, please find its RMS voltage value. Choose the value that is closest to the answer. NEED A NEAT HAND WRITING ONLY OTHERWISE WILL LEAVE A DOWNVOTE NO CHAT GPT MINIMUM3 STEPS WITH EXPLANATION