
Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Question
Chapter 3, Problem 8P
(a)
To determine
Show that the given circuit satisfies Kirchhoff’s current law at junction terminals x-y.
(b)
To determine
Show that the given circuit satisfies Kirchhoff’s voltage law.
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Students have asked these similar questions
Q4.
a)
Consider a transmission line modelled as a four-terminal network with an
unknown configuration. You are provided with the following measured
parameters at the operating frequency:
Open-circuit voltage ratio: 0.9521°
• Short-circuit impedance: 40+j80
• Open-circuit admittance: -j2 × 10-4 S
Use the four terminal equations and the provided measurements to
mathematically derive the A, B, C, and D parameters of the network and
explain their physical significance. Show your work and formulas used in
the derivation.
Q1.
Consider a single-phase step-down transformer with primary and
secondary turns of 600 and 100 respectively and a primary voltage of
11 kV.
(i) An open circuit test was conducted on the transformer and the primary
current was measured as:
I₁ = 2.20 A
Use these results to calculate the magnetising reactance in the equivalent
circuit (X) given that Rm, representing the core loss, has a value of 21 km.
(ii) The remaining equivalent circuit parameters are as follows:
R₁ = 40, X₁ = 25 N, R₂ = 0.4 N, X₂ = 0.3 N
Draw the complete simplified equivalent circuit, by referring series
components on the primary side to the secondary, giving all component
values.
(iii) The transformer is connected, on its secondary side, to a load of 10
at a power factor of 1. Calculate the voltage across the load.
(iv) Calculate the efficiency of the transformer when operating at the load
given in part (iii).
b)
A 132 kV supply feeds a line of reactance 15 which is connected to a 100
MVA, 132/33 kV transformer of 0.08 p.u. reactance as shown in the
Figure 2. The transformer feeds a 33 kV line of reactance 8 Q, which, in
turn, is connected to a 75 MVA, 33/11 KV transformer of 0.12 p.u.
reactance. The transformer supplies an 11 KV substation from which a local
11 kV feeder of 4 Q reactance is supplied.
T1
T2
132 kV
33 kV
11 kV
Fault
X
CB
Relay
Figure 2. Network for Q4 b).
(i) Given the system base of 100 MVA, compute the total equivalent
reactance of the radial circuit in per unit (p.u.).
(ii) Determine the three-phase fault current at the load end of the 11 kV
feeder, assuming a fault impedance of 0.05 Q. Calculate the fault
current in Amperes.
(iii) The 11 kV feeder connects to a protective overcurrent relay via 200/5 A
current transformers. This relay has a standard normally inverse IDMT
characteristic, with a setting current of 3 A and a time multiplier setting
of 0.4. Calculate the…
Chapter 3 Solutions
Electric Circuits. (11th Edition)
Ch. 3.2 - For the circuit shown, find (a) the voltage υ, (b)...Ch. 3.3 - Find the no-load value of υo in the circuit...Ch. 3.3 -
Find the value of R that will cause 4 A of...Ch. 3.4 - Use voltage division to determine the voltage υo...Ch. 3.5 - a. Find the current in the circuit shown.
b. If...Ch. 3.5 - Find the voltage υ across the 75 kΩ resistor in...Ch. 3.6 - The bridge circuit shown is balanced when R1 = 100...Ch. 3.7 - Use a Y-to-Δ transformation to find the voltage υ...Ch. 3 - For each of the circuits shown in Fig. P...Ch. 3 - Prob. 2P
Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - In the circuits in Fig. P 3.7(a)–(d), find the...Ch. 3 - Prob. 8PCh. 3 - Find the power dissipated in each resistor in the...Ch. 3 - In the voltage-divider circuit shown in Fig. P...Ch. 3 - Calculate the no-load voltage υo for the...Ch. 3 - The no-load voltage in the voltage-divider circuit...Ch. 3 - Assume the voltage divider in Fig. P3.14 has been...Ch. 3 - The voltage divider in Fig. P3.16 (a) is loaded...Ch. 3 - There is often a need to produce more than one...Ch. 3 - For the current-divider circuit in Fig. P3.19...Ch. 3 - Find the power dissipated in the 30 resistor in...Ch. 3 - Specify the resistors in the current-divider...Ch. 3 - Show that the current in the kth branch of the...Ch. 3 - Look at the circuit in Fig. P3.1 (a).
Use voltage...Ch. 3 - Look at the circuit in Fig. P3.1 (d).
Use current...Ch. 3 - Attach a 6 V voltage source between the terminals...Ch. 3 - Look at the circuit in Fig. P3.7(a).
Use current...Ch. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - For the circuit in Fig. P3.29, calculate i1 and i2...Ch. 3 - Find υ1 and υ2 in the circuit in Fig. P3.30 using...Ch. 3 - Find υo in the circuit in Fig. P3.31 using voltage...Ch. 3 - Find the voltage υx in the circuit in Fig. P3.32...Ch. 3 - A shunt resistor and a 50 mV. 1 mA d’Arsonval...Ch. 3 - Show for the ammeter circuit in Fig. P3.34 that...Ch. 3 - A d'Arsonval ammeter is shown in Fig....Ch. 3 - A d'Arsonval movement is rated at 2 mA and 100 mV....Ch. 3 - A d’Arsonval voltmeter is shown in Fig. P3.37....Ch. 3 - Suppose the d’Arsonval voltmeter described in...Ch. 3 - The ammeter in the circuit in Fig. P3. 39 has a...Ch. 3 - The ammeter described in Problem 3.39 is used to...Ch. 3 - The elements in the circuit in Fig2.24. have the...Ch. 3 - The voltmeter shown in Fig. P3.42 (a) has a...Ch. 3 - Assume in designing the multirange voltmeter shown...Ch. 3 - The voltage-divider circuit shown in Fig. P3.44 is...Ch. 3 - Prob. 45PCh. 3 - You have been told that the dc voltage of a power...Ch. 3 - Prob. 47PCh. 3 - Design a d'Arsonval voltmeter that will have the...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - The bridge circuit shown in Fig. 3.28 is energized...Ch. 3 - Find the detector current id in the unbalanced...Ch. 3 - Find the power dissipated in the 18Ω resistor in...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Use a Δ-to-Y transformation to find the voltages...Ch. 3 - Prob. 59PCh. 3 - Find io and the power dissipated in the 140Ω...Ch. 3 - Find the equivalent resistance Rab in the circuit...Ch. 3 - Find the resistance seen by the ideal voltage...Ch. 3 - Show that the expressions for Δ conductances as...Ch. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - The design equations for the bridged-tee...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75P
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