16. A single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the followingequivalent circuit parameters for the main winding: R1m=9.52, R02=10.82, X m=X 2=122, Xmag=2602At 230V and rated speed, the core loss is 3oW, and the friction and windage loss is 15W. The motor isconnected to an 1 q, 230V, 60HZ supply and runs at the rated speed. Determine:a) The slip.b) The motor current.c) The input power factor.d) The input power.e) The developed torque.) The output shaft power and shaft torque.g) The efficiency.h) The rotor circuit frequencies and the rotor cu-losses.i) The ratio of the forward flux to the backward flux.

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16. A single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the following equivalent circuit parameters for the main winding: RIm=9.52, Ro2=10.82, X1m=X'2=1292, Xmag=2602 At 230V and rated speed, the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to an 1 ø, 230V, 60HZ supply and runs at the rated speed. Determine: a) The slip. b) The motor current. c) The input power factor.

16. A single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the following equivalent circuit parameters for the main winding: RIm=9.52, Ro2=10.82, X1m=X'2=1292, Xmag=2602 At 230V and rated speed, the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to an 1 ø, 230V, 60HZ supply and runs at the rated speed. Determine: a) The slip. b) The motor current. c) The input power factor.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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18. A single-phase, 120 V, 60 Hz, four-pole, split-phase induction motor has the following standstill impedances:Main winding: Zm =5+j6.25Auxiliary winding: Za =8+j6a) Determine the value of capacitance to be added in series with the auxiliary winding to obtain maximum starting torque.b) Compare the starting torques and starting current with and without the added capacitance in the auxiliary winding circuit when operated from a 120V, 60Hz supply.
A single-phase, 120 V, 60 Hz, four-pole, split-phase induction motor has the following equivalentcircuit parameters: R1m=1.5Ω, R1a=2.5Ω, R/2=1Ω, X1m=2.5Ω, X1a =2.5Ω, X/2=1.5Ω, Xmag =40Ωa) Determine the standstill impedances (Zm, Za) of the windings.b) Determine the starting torque and the starting current of the motor if it is started from rated voltagemains as a resistor split-phase motor.c) Determine the value of the capacitor to be connected in series with the auxiliary winding toproduce maximum starting torque per ampere of starting current. Determine the value of thestarting torque and starting current.d) Compare the starting torque per ampere of starting current for cases (b) and (c)
16. A single-phase, 1/4 hp, 230 V, 60 Hz, four-pole, 1710 rpm induction motor has the following equivalent circuit parameters for the main winding: R1m=9.5Ω, R02=10.8Ω, X1m=X/2=12Ω, Xmag=260Ω At 230V and rated speed, the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to an 1 φ, 230V, 60Hz supply and runs at the rated speed. Determine:a) The slip.b) The motor current.c) The input power factor.d) The input power.e) The developed torque.f) The output shaft power and shaft torque.g) The efficiency.h) The rotor circuit frequencies and the rotor cu-losses.i) The ratio of the forward flux to the backward flux.
The equivalent circuit parameters of a 230-V, 1-phase, 6-pole, 60-Hz induction motor are: R1 = R2’ =10ohm, X1 = X2’ = 10ohm, and Xm = 100ohm. At a slip of 5%, calculate the developed torque and The input power to the motor at 230V, while running on no-load, is 31.4 W at 1.2 A. What is the approximate efficiency of the motor at 5% slip?
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A 4-pole, 115 V, 60 Hz, 1710 rpm, capacitor-start single-phase induction motor has been designed to produce maximum starting torque per unit starting current. The motor has the following parameters: R1m=1.5ohms, X1m=2.6ohms, R1a=2.5 ohms, X1a=2.5 ohms, Xmag=40 ohms, R/2=1 ohms, X/2=1.6 ohmsNa/Nm =l, Capacitor in series with auxiliary winding = 375 μF.a) Draw the equivalent circuit for the motor under starting conditions. Determine the value of the starting torque.b) Draw the equivalent circuit for the motor when it runs at the rated (i.e., full load) speed. Determine the torque developed at this speed.c) Determine the ratio of the starting torque to the torque developed at the rated speed.
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A four-pole, single-phase, 120 V, 60 Hz induction motor gave the following standstill impedances when tested at rated frequency:Main winding : Zm =1.5+j4 ohmsAuxiliary winding : Za =3+j6 ohmsa) Determine the value of external resistance to be inserted in series with the auxiliary winding to obtain maximum starting torque as a resistor split-phase motor.b) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque as a capacitor-start motor.c) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque per ampere of the starting current as a capacitor-start motor.d) Compare the starting torques and starting currents in parts (a), (b), and (c) expressed as per unit of the starting torque without any external element in the auxiliary circuit, when operated at 120V, 60Hz.
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1. A 10-hp, 4-pole, 25-Hz, 3-Ф induction motor is taking 9,100 watts from the line. The core loss is 290 watts; stator copper loss is 568 watts; rotor copper loss is 445 watts, and the friction and windage loss is 121 watts. Determine the output torque in Newton-meter. 2. For a three-phase induction motor having rotor circuit resistance of 6 ohms, maximum torque occurs at a slip of 0.6. Find the value of standstill rotor circuit reactance. 3. A 4 - pole, 3 - phase, 60 Hz squirrel-cage motor draws 21 A and 7 kW while driving its normal load. Under these conditions, its slip is 2%. When running idle, this motor draws 6 A and 580 W at normal voltage. With its rotor blocked, this motor draws 15 A and 500 W with 50 V applied. What is the output torque of this motor when driving its normal load. 4. A 4-pole, 50 Hz, 3- phase induction motor develops a maximum torque of 110 N-m at 1360 rpm. The resistance of the star-connected rotor is 0.25 Ω /phase. Calicul the value of resistance that must…
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