2.3 The instantaneous voltage across a circuit element is v(t) = 300ain (wt+50*) volts, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 150coa (wt+45)4. For both the current and voltage, determine (a) the maximum value, (b) the rms value, (c) the phasor expression, using coa (wt) as the reference.

2.3 The instantaneous voltage across a circuit element is v(t) = 300ain (wt+50*) volts, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 150coa (wt+45)4. For both the current and voltage, determine (a) the maximum value, (b) the rms value, (c) the phasor expression, using coa (wt) as the reference.

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 2.10P: For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real...

See similar textbooks

Similar questions

Two equal voltages are out of phase with respect to each other by 90 electrical degrees. If the resultant is 311 Volts, what is RMS value of each one?-write legibly-show the complete solution
If a 3- Ø, Y-connected system has a line-to-line voltage of 1103Sin(377t) V, then the line-to-neutral (RMS) voltage would be:
2. Solve the following problem: A THREE-PHASE PLANT CONSUMES 600 KVA, WITH A VOLTAGE OF 2400 VOLTS AND A POWER FACTOR OF 0.8 BEHIND. a) DETERMINE THE EQUIVALENT DELTA IMPEDANCE OF THE PLANT. b) IF THE PLANT WERE A STAR, CALCULATE THE RESISTANCE, REACTANCE AND THE CORRESPONDING PASSIVE ELEMENT.
AC electrical circuit is below: (refer picture below) a. Determine the current flowing in the load. b. If it is desired that the system power factor be 0.9. With system frequency = 50 Hz. Determine how large the capacitor is must be installed? Which one is correct? A/B/others answer A. C = 7.7015 mF B. C = 35.243 µF c. Please Draw all the phasor. Please give complete, details, and correct answer. Please do step by step, draw the phasor Please using handwriting (not typing ). THANK YOU, I WILL GIVE MANY THUMBS UP.
1-Alternators can be overloaded by 10 percentage for 10-15 minutes, this a. Steady state voltage stability will get affected b. may reduce the stability limit c. may disturb Nose point d. may lose Angular stability 2-Often, the network is referred as an infinite bus when a change in input mechanical power or in field excitation to the unit does not cause an appreciable change in a. system frequency or terminal voltage b. system frequency alone c. system frequency and terminal voltage d. Total production cost
A three-phase system includes a 346.4 V line-to-line supplying a three-phase motor rated 15KVA 0.8pf lag plus additional balanced constant impedance loads. The single-phase representation of the system is shown below. Assume that sources and loads are Y-connected. 1. What is the RMS value of the line current, I in A? 2. If this set of loads will be supplied through a service transformer. What should the minimum size of the transformer in kVA? 3. What should be the size of three-phase capacitor(that will be added to the load mix) to improve power factor to almost 0.95 lag?
PLS USE 4 DECIMAL PLACES FOR THE FINAL ANSWERS An inductive reactance of 10 ohms is connected in parallel with the capacitive reactance of 30 ohms. If the combination is connected in series with a 10 ohm resistance. The given voltage is 200V. *What is the total real power of the system in magnitude with unit of kW? *What is the total real power of the system in magnitude with unit of kVAR? *What is the total impedance in polar form in ohms? *What is the total real power of the system in magnitude with unit of kVA? *What is the total current in polar form in A?
A 3-phase overhead transmission line is being supported by three disc insulators. The potentials across top unit and middle unit are 9 kV and 11 kV respectively. Calculate: a. The ratio of capacitance between pin and earth to the self-capacitance of each unit. b. The line voltage. c. String efficiency. JAns: a. 0.22 b. 35.444 kV c. 76%]
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 amplitude of the voltage Vs (t) is 2 1/2 150 volts, the phase angle isQs = 0 degrees, its period is T = 200Pi microseconds.Since R = 300 ohms and C = 1 pico farad:a)If L0 = OH constant, find the value of R0 that enables the load to draw the maximum average power from the circuit.b) Calculate the complex power on the lo
A lightning strikes a 30-m unshielded over-head transmission line tower Which has the following parameters Surge impedance of the tower= 100ohms Surge impedance of lightning channel at tower top =500ohms Tower-footing resistance=10ohms Tower height =30 m Cross-arm height=27m The lightning strike current is assumed to be a constant 30 kA for a duration of 20 µs. The raveling wave propagation speed in the tower is 1.2* 108 m/s. i) Determine the voltage reflection coefficients at tower top and tower foot. ii) Ignoring the phase voltage, determine the insulator voltage after 2µs.
A lightning strikes a 30-m unshielded over-head transmission line tower Which has the following parameters Surge impedance of the tower= 100ohms Surge impedance of lightning channel at tower top =500ohms Tower-footing resistance=10ohms Tower height =30 m Cross-arm height=27m The lightning strike current is assumed to be a constant 30 kA for a duration of 20 µs. The raveling wave propagation speed in the tower is 1.2* 108 m/s. i) Determine the voltage reflection coefficients at tower top and tower foot. ii) Determine the time of travel from tower top to tower foot. iii) Determine the time of travel from cross arm to tower foot. iv) Draw the voltage lattice diagram with proper labels of the time. v) Ignoring the phase voltage, determine the insulator voltage after 2µs. b) The insulator voltage approaches a constant value after 2 µs. If the basic impulse insulation level (BlL) of the insulator for phase conductor is 150 kV, evaluate the condition of the…