DELMAR'S STANDARD TEXT OF ELECTRICITY
6th Edition
ISBN: 9780357323380
Author: Herman
Publisher: CENGAGE C
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Chapter 23, Problem 4PP
Assume that the circuit shown in Figure 23-2 is connected co a 1000-Hz line and has a true power of 486.75 W and a reactive power of 187.5 VARs. The coral current flow in the circuit is 7.5 A. Find the missing values.
| ET __________________ | ER __________________ | EC __________________ |
| IT 7.5 A __________________ | IR __________________ | IC __________________ |
| Z __________________ | R __________________ | XC __________________ |
| VA __________________ | P 486.75 W _______________ | VARsC 187.5 ____________ |
| PF __________________ | ∠θ __________________ | C __________________ |
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-E1 + VR1 + VR4 – E2 + VR3 = 0 -------> Loop 1 (a)
R1(I1) + R4(I1 – I2) + R3(I1) = E1 + E2 ------> Loop 1 (b)
R1(I1) + R4(I1) - R4(I2) + R3(I1) = E1 + E2 ------> Loop 1 (c)
(R1 + R3 + R4) (I1) - R4(I2) = E1 + E2 ------> Loop 1 (d)
Now that we have loop 1 equation will procced on finding the equation of I2 current loop. However, a reminder that because we are going in a clockwise direction, it goes against the direction of the current. As such we will get an equation for the matrix that will be:
E2 – VR4 – VR2 + E3 = 0 ------> Loop 2 (a)
-R4(I2 – I1) -R2(I2) = -E2 – E3 ------> Loop 2 (b)
-R4(I2) + R4(I1) - R2(I2) = -E2 – E3 -----> Loop 2 (c)
R4(I1) – (R4 + R2)(I2) = -E2 – E3 -----> Loop 2 (d)
These two equations will be implemented to the matrix formula I = inv(A) * b
R11 R12
(R1 + R3 + R4)
-R4
-R4
R4 + R2
Chapter 23 Solutions
DELMAR'S STANDARD TEXT OF ELECTRICITY
Ch. 23 - When a capacitor and a resistor are connected in...Ch. 23 - A capacitor and a resistor are connected in...Ch. 23 - What is the impedance of the circuit in Question...Ch. 23 - What is the power factor of the circuit in...Ch. 23 - How many degrees out of phase are the current and...Ch. 23 - Refer to the formulas in Appendix B in the...Ch. 23 - What is the capacitance of the capacitor in...Ch. 23 - A resistor and capacitor are connected in parallel...Ch. 23 - Prob. 1PPCh. 23 - Prob. 2PP
Ch. 23 - Prob. 3PPCh. 23 - Assume that the circuit shown in Figure 23-2 is...Ch. 23 - In an RC parallel circuit, R=3.6kandXC=4.7k. Find...Ch. 23 - In an RC parallel circuit,...Ch. 23 - In an RC parallel circuit, ET=120volts,IT=1.2...Ch. 23 - In an RC parallel circuit, the apparent power is...Ch. 23 - In an RC parallel circuit, the true power is 780...Ch. 23 - In an RC parallel circuit, ET=7.5 volts at 1 kHz....
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