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Chapter 2 Solutions
Power System Analysis & Design
- A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)arrow_forwardA 5-ohm resistor is connected in series with a 25 micro-farad capacitor. A source voltage of 158 volts, 50 Hz supplies the combination. Determine the following: a. Circulating current b. Voltage across the resistor c. Voltage across the capacitor d. Real power supplied by the source e. Reactive power supplied by the source f. Apparent power of the circuit g. Power factor of the entire circuitarrow_forwarda) Calculate the power factor of the load shown in the figure without the capacitor. b) Determine the capacitance that will improve the power factor to unity (1.0). Function Generator 1 KHz 5 V rms OV DC offset Ground C 5 mH 30 Ωarrow_forward
- A capacitor drawing 4 kvar is placed in parallel with the electro-magnet that draws 3 kW of active power and 4 kvar of reactive power.. a. Calculate the new value of apparent power b. What is the new value of reactive power? c. What is the value of active power? d. What is the new power factor?arrow_forward9.) Assume the frequency to be 60 Hz. Calculate the inductance or capacitance in series for the impedance 352 70° ohms. Express in four decimal places.arrow_forwardAn inductor L is connected in parallel to the series combination of capacitor C and resistor R. If L = 0.02122 H, C = 0.000421 F and R = 5 Ω, the impressed voltage E = 120 volts AC. Find the following: a. Circuit Diagram, total impedance, total current. b. Determine the frequency at which the inductive reactance is equal to capacitive reactance. c. Determine the voltage drop across the capacitor and the Quality Factor Q.arrow_forward
- Please answer and show your detailed solution. 1. Calculate the power factor of the system initially before the capacitor is connected. 2. What is the value of the capacitance C to make the power factor of the system 90% lagging?arrow_forwardAn inductor of value 5.6 H is connected across 240 V, 109 Hz supply. Then the value of inductive reactance is ohms. 7666.62 1220.80 1916.66 3836.80arrow_forwardA 5 ohm resistor in series with an inductor having an inductance of L = 15.92 mH is connected to a voltage sourceof 110 volts 60 Hz. Determine the true power consumed by the load.arrow_forward
- Answer the following: a. A capacitance is connected to a 115 V, 25 Hz mains and takes a current of 5 A. find the current when both the capacitance and frequency are doubled. b. A 220 V, 60 Hz circuit draws a current of 11 A with a power factor of 0.8 lagging. Find the resistance of the circuit.arrow_forwardAn inductive impedance of 40 + j40 ohms is connected in parallel with a pure capacitor. What must be the reactance of the capacitor in ohms so that the total current is in phase with the supply voltage of 230V?arrow_forwardAn inductive reactance of 6 ohm is connected in series with a parallel combination of a variable resistor R and a capacitive reactance of 15 ohm across 100V , 50 hz supply. a. Solve for the frequency so that the magnitude of the inductive reactance is 2 times the magnitude of capacitive reactance. b. Solve for the value of R so that the total current I will be maximum.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning