Introductory Circuit Analysis
13th Edition
ISBN: 9780133923919
Author: Boylestad, Robert L.
Publisher: Pearson Education
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Textbook Question
Chapter 23, Problem 23P
An ideal transformer is rated
- Find the transformation ratio if the 120 V is the secondary voltage.
- Find the current rating of the secondary if the 120 V is the secondary voltage.
- Find the current rating of the primary if the 120 V is the secondary voltage.
- Repeat parts (a) through (c) if the 2400 V is the secondary voltage.
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1. A step-down transformer has a ratio of transformation of 10:1 and is connected to a 2,300- V, 60 hz ac supply. If the secondary load current is 40 A, calculate the, a) primary current, b) secondary voltage, c) power input, and d) power output.
2. A distribution transformer is connected to a 2,300 V, 60 Hz ac source with its primary windings equal to 1,200 turns. If the secondary voltage is 230 V, and the cross sectional area of the iron is 22.86 cm2 , calculate the a) mutual flux, b) maximum flux density, and c) number of secondary turns and the ratio of transformation.
As given in the figure, the primary side of an ideal transformer is fed from a 400 Volt source with an internal impedance of 3 + j4 Ω. The secondary side of the transformer feeds 3 + j4 Ω load. Accordingly, which of the following is the V1 voltage?
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Chapter 23 Solutions
Introductory Circuit Analysis
Ch. 23 - For the air-core transformer in Fig. 23.57: Find...Ch. 23 - Repeat Problem 1 if k is changed to 1. Repeat...Ch. 23 - RepeatProblem1fork=0.3,NP=300turns,andNS=25turns.Ch. 23 - For the iron-core transformer (k = 1) in Fig....Ch. 23 - RepeatProblem4forNP=240andNS=30.Ch. 23 - Find the applied voltage of an iron-core...Ch. 23 - If the maximum flux passing through the core of...Ch. 23 - For the iron-core transformer in Fig. 23.59: Find...Ch. 23 - Find the input impedance for the iron-core...Ch. 23 - Find the voltage Vg, and the current Ip if the...
Ch. 23 - If VL=240V,ZL=20resistor,Ip=0.05AandNs=50 find the...Ch. 23 - If Np400,Ns=1200andVg=100V,findthemagnitudeofIp...Ch. 23 - For the circuit in Fig. 23.60, find the...Ch. 23 - For the transformer in Fig. 23.61, determine the...Ch. 23 - For the transformer in Fig. 23.61, if the...Ch. 23 - Prob. 16PCh. 23 - Discuss in your own words the frequency...Ch. 23 - Determine the total inductance of the series coils...Ch. 23 - Determine the total inductance of the series coils...Ch. 23 - Determine the total inductance of the series coils...Ch. 23 - Write the mesh equations for the network in Fig....Ch. 23 - Determine the input impedance to the air-core...Ch. 23 - An ideal transformer is rated...Ch. 23 - Determine the primary and secondary voltages and...Ch. 23 - For the center-tapped transformer in Fig. 23.42,...Ch. 23 - For the multiple-load transformer in Fig. 23.43,...Ch. 23 - Prob. 27PCh. 23 - Write the mesh equations for the network of Fig....Ch. 23 - Write the mesh equations for the network of Fig....Ch. 23 - A current transformer has a secondary with 250...Ch. 23 - Generate the schematic for the network in Fig....Ch. 23 - Prob. 32PCh. 23 - Using a transformer from the library find the load...
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- A two-winding single-phase transformer rated 60kVA,240/1200V,60Hz, has an efficiency of 0.96 when operated at rated load, 0.8 power factor lagging. This transformer is to be utilized as a 1440/1200-V step-down autotransformer in a power distribution system. (a) Find the permissible kVA rating of the autotransformer if the winding currents and voltages are not to exceed the ratings as a two-winding transformer. Assume an ideal transformer. (b) Determine the efficiency of the autotransformer with the kVA loading of part (a) and 0.8 power factor leading.arrow_forwardConsider 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_forwardThe transformer of Problem 3.16 is supplying a rated load of 50 kVA at a rated secondary voltage of 240 V and at 0.8 posr factor lagging. Neglect the transformer exciting current. (a) Determine the input terminal voltage of the transformer on the high-voltage side. (b) Sketch the corresponding phasor diagram. (c) If the transformer is used as a step-down transformer at the load end of a feeder whose impedance is 0.5+j2.0, find the voltage VS and the power factor at the sending end of the feeder.arrow_forward
- (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_forwardConsider a source of voltage v(t)=102sin(2t)V, with an internal resistance of 1800. A transformer that can be considered as ideal is used to couple a 50 resistive load to the source. (a) Determine the transformer primary-to-secondary turns ratio required to ensure maxi mum power transfer by matching the load and source resistances. (b) Find the average power delivered to the load, assenting maximum power transfer.arrow_forwardFor an ideal transformer, the efficiency is (a) 0 (b) 100 (c) 50arrow_forward
- For the transformer in Problem 3.10. The open-circuit test with 11.5 kV applied results in a power input of 65 kW and a current of 30 A. Compute the values for GcandBm in siemens referred to the high-voltage winding. Compute the efficiency of the transformer for a load of 10 MW at 0.8 p.f. lagging at rated voltage.arrow_forwardAn 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_forwardAn ideal transformer has no real or reactive power loss. (a) True (b) Falsearrow_forward
- All values of a transformer are proportional to its __________________ ___________________.arrow_forwardAn ideal transformer with N1=1000andN2=250 is connected with an impedance Z22 across winding 2. If V1=10000VandI1=530 A, determine V2,I2,Z2, and the impedance Z2, which is the value of Z2 referred to the primary side of the transformer.arrow_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
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