Concept explainers
The missing values in the table.
Answer to Problem 4PP
ET = 150.062 V | ER = 150.062 V | EL = 150.062 V |
IT = 2.498 A | IR = 1.948 A | IL = 1.563 A |
Z = 60.073 Ω | R = 77.024 Ω | XL = 96.007 Ω |
VA = 374.817 | P = 292.357 W | VARSL = 234.55 |
PF = 78% | L = 0.0382 H |
Explanation of Solution
Given data :
The inductive reactance XL is calculated as,
Using the Power factor (PF) and Apparent Power(VA), we can calculate True Power (P) as,
The reactive power VARSL is calculated as,
The relation between reactive power, voltage and inductive reactance is given as,
Since the circuit is parallel R-L,
The current through the inductor is,
The relation between true power P, voltage ER and resistance R is given as,
The current through the resistor is,
The current through the inductor is,
The total current in the circuit
The impedance Z is calculated as,
Power factor angle θ will be,
Want to see more full solutions like this?
Chapter 19 Solutions
MINDTAP ELECTRICITY FOR HERMAN'S DELMAR
- Assume that the circuit shown in Figure 18-1 is connected to a 60-Hz line and has a total current flow of 34.553 A. The inductor has an inductance of 0.02122 H, and the resistor has a resistance of 14 . ET ER EL IT34.553A IR IL Z R14 XL VA P VARSL PF L0.02122Harrow_forwardAssume that the circuit in Figure 18-1 has an apparent power of 144 VA and a true power of 115.2 W. The inductor has an inductance of 0.15915 H, and the frequency is 60 Hz. ET ER EL IT IR IL Z R XL VA144 P115.2 VARSL PF L0.15915Harrow_forwardAssume the circuit shown in Figure 17–2 has a power factor of 78%, an apparent power of374.817 VA, and a frequency of 400 Hz. The inductor has an inductance of 0.0382 H.arrow_forward
- Find the sampling frequency for the functon: m(t)=sinc^2(10t)sin(20t)arrow_forwarda. draw the root locus system for k>0b, draw the root locus system for k<0arrow_forwardChoose the correct statement about the following signal. x(t)=cos(ω0t+2)−sin(2ω0t+4) Select one: a. Aperiodic b. Fundamental period is π/ω0 c. Second harmonic angular frequency is 2ω0 d. Fundamental angular frequency is 2ω0arrow_forward
- Assume the circuit shown in Figure 17-2 has an apparent power of 144 VA and a true power of 115.2 W. The inductor has an inductance of 0.15915 H, and the frequency is 60 Hz. ETITZVA144PFERIRRP115.2WELILXLVARsLL0.15915Harrow_forwardIf A 20-µF capacitor is connected in parallel with a 1.2-mH coil to form a tank circuit, what would be the resonant frequency of the tank circuit? 324.87 Hz 10.27 kHz 1027.34 Hz 32.49 mHzarrow_forwardA choking coil is connected in series with a 50 uF capacitor across a 959 Hz supply. What is the inductance of the coil to give resonance?arrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning