Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 13, Problem 9RQ
To determine
Choose the correct option, which is needed for matching the internal impedance of
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A 5KVA, 240/120 V single phase transformer has the following parameters:
R1 = 0.06 Q
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X1 = 0.18 Q
X2 = 0.045 Q
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Xm = 400 0
Transformer secondary winding feeds an inductive load of 5KVA power factor
0.9 at 120V rated voltage. Using the simplest equivalent circuit given in the
figure, find the primary voltage, primary current and apparent power factor
of the transformer. What is the efficiency of the transformer?
X,+X2
V1=.
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l1 =
A
V,
V2
cose =
n =
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The resistance and reactance of the primary winding of a 440/110 V single phase transformer are 4.4 ohm and 8 ohm respectively. The resistance and reactance of the secondary winding are 1.6 ohm and 2ohm respectively. Then find the equivalent resistance, reactance and impedance referred to the primary side.
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Chapter 13 Solutions
Fundamentals of Electric Circuits
Ch. 13.2 - Determine the voltage Vo in the circuit of Fig....Ch. 13.2 - Determine the phasor currents I1 and I2 in the...Ch. 13.3 - Prob. 3PPCh. 13.4 - Find the input impedance of the circuit in Fig....Ch. 13.4 - For the linear transformer in Fig. 13.26(a), find...Ch. 13.4 - Solve the problem in Example 13.1 (see Fig. 13.9)...Ch. 13.5 - The primary current to an ideal transformer rated...Ch. 13.5 - In the ideal transformer circuit of Fig. 13.38,...Ch. 13.5 - Find Vo in the circuit of Fig. 13.40. Figure 13.40...Ch. 13.6 - Refer to Fig. 13.43. If the two-winding...
Ch. 13.6 - In the autotransformer circuit of Fig. 13.45, find...Ch. 13.7 - Prob. 12PPCh. 13.8 - Prob. 13PPCh. 13.9 - Refer to Fig. 13.61. Calculate the turns ratio...Ch. 13.9 - Calculate the turns ratio of an ideal transformer...Ch. 13.9 - In Example 13.17, if the eight 100-W bulbs are...Ch. 13 - Refer to the two magnetically coupled coils of...Ch. 13 - Prob. 2RQCh. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - The ideal transformer in Fig. 13.70(a) has N2/N1 =...Ch. 13 - Prob. 6RQCh. 13 - A three-winding transformer is connected as...Ch. 13 - Prob. 8RQCh. 13 - Prob. 9RQCh. 13 - Prob. 10RQCh. 13 - For the three coupled coils in Fig. 13.72,...Ch. 13 - Using Fig. 13.73, design a problem to help other...Ch. 13 - Two coils connected in series-aiding fashion have...Ch. 13 - (a) For the coupled coils in Fig. 13.74(a), show...Ch. 13 - Two coils are mutually coupled, with L1 = 50 mH,...Ch. 13 - Given the circuit shown in Fig. 13.75, determine...Ch. 13 - For the circuit in Fig. 13.76, find Vo. Figure...Ch. 13 - Find v(t) for the circuit in Fig. 13.77.Ch. 13 - Prob. 9PCh. 13 - Find vo in the circuit of Fig. 13.79. Figure 13.79...Ch. 13 - Use mesh analysis to find ix in Fig. 13.80, where...Ch. 13 - Determine the equivalent Leq in the circuit of...Ch. 13 - For the circuit in Fig. 13.82, determine the...Ch. 13 - Obtain the Thevenin equivalent circuit for the...Ch. 13 - Find the Norton equivalent for the circuit in Fig....Ch. 13 - Obtain the Norton equivalent at terminals a-b of...Ch. 13 - In the circuit of Fig. 13.86, ZL is a 15-mH...Ch. 13 - Find the Thevenin equivalent to the left of the...Ch. 13 - Determine an equivalent T-section that can be used...Ch. 13 - Determine currents I1, I2, and I3 in the circuit...Ch. 13 - Prob. 21PCh. 13 - Find current Io in the circuit of Fig. 13.91.Ch. 13 - Let is = 5 cos (100t) A. Calculate the voltage...Ch. 13 - In the circuit of Fig. 13.93, (a) find the...Ch. 13 - Prob. 25PCh. 13 - Find Io in the circuit of Fig. 13.95. Switch the...Ch. 13 - Find the average power delivered to the 50-...Ch. 13 - In the circuit of Fig. 13.97, find the value of X...Ch. 13 - Prob. 29PCh. 13 - (a) Find the input impedance of the circuit in...Ch. 13 - Using Fig. 13.100, design a problem to help other...Ch. 13 - Two linear transformers are cascaded as shown in...Ch. 13 - Determine the input impedance of the air-core...Ch. 13 - Using Fig. 13.103, design a problem to help other...Ch. 13 - Find currents I1, I2, and I3 in the circuit of...Ch. 13 - As done in Fig. 13.33, obtain the relationships...Ch. 13 - A 2402,400-V rms step-up ideal transformer...Ch. 13 - Design a problem to help other students better...Ch. 13 - A 1,200240-V rms transformer has impedance on the...Ch. 13 - The primary of an ideal transformer with a turns...Ch. 13 - Given I2 = 2 A, determine the value of Is in Fig....Ch. 13 - For the circuit in Fig. 13.107, determine the...Ch. 13 - Obtain V1 and V2 in the ideal transformer circuit...Ch. 13 - In the ideal transformer circuit of Fig. 13.109,...Ch. 13 - For the circuit in Fig. 13.110, find the value of...Ch. 13 - (a) Find I1 and I2 in the circuit of Fig. 13.111...Ch. 13 - Prob. 47PCh. 13 - Using Fig. 13.113, design a problem to help other...Ch. 13 - Find current ix in the ideal transformer circuit...Ch. 13 - Prob. 50PCh. 13 - Use the concept of reflected impedance to find the...Ch. 13 - For the circuit in Fig. 13.117, determine the...Ch. 13 - Refer to the network in Fig. 13.118. (a) Find n...Ch. 13 - A transformer is used to match an amplifier with...Ch. 13 - For the circuit in Fig. 13.120, calculate the...Ch. 13 - Find the power absorbed by the 100- resistor in...Ch. 13 - For the ideal transformer circuit of Fig. 13.122...Ch. 13 - Determine the average power absorbed by each...Ch. 13 - In the circuit of Fig. 13.124, let vs = 165...Ch. 13 - Refer to the circuit in Fig. 13.125 on the...Ch. 13 - For the circuit in Fig. 13.126, find Il, I2, and...Ch. 13 - For the network in Fig. 13.127, find: (a) the...Ch. 13 - Find the mesh currents in th circuit of Fig....Ch. 13 - For the circuit in Fig. 13.129. find the turns...Ch. 13 - Calculate the average power dissipated by the 20-...Ch. 13 - Design a problem to help other students better...Ch. 13 - An autotransformer with a 40 percent tap is...Ch. 13 - In the ideal autotransformer of Fig. 13.131,...Ch. 13 - In the circuit of Fig. 13.131, N1 = 190 turns and...Ch. 13 - In the ideal transformer circuit shown in Fig....Ch. 13 - When individuals travel, their electrical...Ch. 13 - In order to meet an emergency, three single-phase...Ch. 13 - Figure 13.135 on the next page shows a three-phase...Ch. 13 - Consider the three-phase transformer shown in Fig....Ch. 13 - A balanced three-phase transformer bank with the...Ch. 13 - Using Fig. 13.138, design a problem to help other...Ch. 13 - The three-phase system of a town distributes power...Ch. 13 - Use PSpice or MultiSim to determine the mesh...Ch. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - Prob. 80PCh. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - A stereo amplifier circuit with ail output...Ch. 13 - A transformer having 2,400 turns on the primary...Ch. 13 - A radio receiver has an input resistance of 300 ....Ch. 13 - A step-down power transformer with a turns ratio...Ch. 13 - A 240120-V rms power transformer is rated at 10...Ch. 13 - A 4-kVA, 2,400240-V rms transformer has 250 turns...Ch. 13 - A 25,000240-V rms distribution transformer has a...Ch. 13 - A 4,800-V rms transmission line feeds a...Ch. 13 - A four-winding transformer (Fig. 13.146) is often...Ch. 13 - A 440/110-V ideal transformer can be connected to...Ch. 13 - Ten bulbs in parallel are supplied by a 7,200120-V...
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- (a) An ideal single-phase two-winding transformer with turns ratio at=N1/N2 is connected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z1 in terms of Z2. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance byat2 ?arrow_forwardFor an ideal 2-winding transformer, an impedance Z2 connected across winding 2 (secondary) is referred to winding 1 (primary) by multiplying Z2 by (a) The turns ratio (N1/N2) (b) The square of the turns ratio (N1/N2)2 (c) The cubed turns ratio (N1/N2)3arrow_forwardAn ideal transformer has no real or reactive power loss. (a) True (b) Falsearrow_forward
- Consider an ideal transformer with N1=3000andN2=1000 turns. Let winding 1 be connected to a source whose voltage is e1(t)=100(1| t |)volts for 1t1ande1(t)=0 for | t |1 second. A2- farad capacitor is connected across winding 2. Sketch e1(t),e2(t),i1(t),andi2(t) versus time t.arrow_forwardFor an ideal transformer, the efficiency is (a) 0 (b) 100 (c) 50arrow_forwardA single-phase, 50-kVA,2400/240-V,60-Hz distribution transformer has the following parameters: Resistance of the 2400-V winding: R1=0.75 Resistance of the 240-V winding: R2=0.0075 Leakage reactance of the 2400-V winding: X1=1.0 Leakage reactance of the 240-V winding: X2=0.01 Exciting admittance on the 240-V side =0.003j0.02S (a) Draw the equivalent circuit referred to the high-voltage side of the transformer. (b) Draw the equivalent circuit referred to the low-voltage side of the transformer. Show the numerical values of impedances on the equivalent circuits.arrow_forward
- The ratings of a three-phase three-winding transformer are Primary(1): Y connected 66kV,15MVA Secondary (2): Y connected, 13.2kV,10MVA Tertiary (3): A connected, 2.3kV,5MVA Neglecting winding resistances and exciting current, the per-unit leakage reactances are X12=0.08 on a 15-MVA,66-kV base X13=0.10 on a 15-MVA,66-kV base X23=0.09 on a 10-MVA,13.2-kV base (a) Determine the per-unit reactances X1,X2,X3 of the equivalent circuit on a 15-MVA,66-kV base at the primary terminals. (b) Purely resistive loads of 7.5 MW at 13.2 kV and 5 MW at 2.3kV are connected to the secondary and tertiary sides of the transformer, respectively. Draw the per- unit impedance diagram, showing the per-unit impedances on a 15-MVA,66-kV base at the primary terminals.arrow_forwardFor a short-circuit test on a 2-winding transformer, with one winding shorted, can you apply the rated voltage on the other winding? (a) Yes (b) Noarrow_forwardAll values of a transformer are proportional to its __________________ ___________________.arrow_forward
- An infinite bus, which is a constant voltage source, is connected to the primary of the three-winding transformer of Problem 3.53. A 7.5-MVA,13.2-kV synchronous motor with a sub transient reactance of 0.2 per unit is connected to the transformer secondary. A5-MW,2.3-kV three-phase resistive load is connected to the tertiary Choosing a base of 66 kV and 15 MVA in the primary, draw the impedance diagram of the system showing per-unit impedances. Neglect transformer exciting current, phase shifts, and all resistances except the resistive load.arrow_forwardA 23/230-kV step-up transformer feeds a three-phase transmission line, which in turn supplies a 150-MVA,0.8 lagging power factor load through a step-down 230/23-kV transformer. The impedance of the line and transformers at 230kVis18+j60. Determine the tap setting for each transformer to maintain the voltage at the load at 23 kV.arrow_forwardThe symbol shown is a(n) a. iron core transformer. b. auto transformer. c. current transformer. d. air core transformer.arrow_forward
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