Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 1.23P
For the linear machine of Problem 1-22:
- When this machine is operating as a motor, calculate the speed of the bar for loads of O N to 30 N in 5 N steps. Plot the speed of the bar as a function of load.
- Assume that the motor is operation with a 30 N load, and calculate and plot the speed of the bar for magnetic flux densities of 0.3 T to 0.5 T in 0.05 T steps.
- Assume that the motor is running at no-load conditions with a flux density of 0.5 T. What is the speed of the bar? Now apply a 30 N load to the bar. What is the new speed of the bar? What flux density would be required to restore the loaded bar to the same speed that it had under no-load conditions?
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The length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft iron core has 360 turns and takes a current of 1.75 A. The core is square in section with sides of 20mm. Take the relative permeability of soft iron as 1100. Determine the total flux
show thatvthis is a magnetic flux density: then prove and interpret it with reasons on each step
The length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft-iron core has 360 turns and takes a current of 1.75 A. The core is square in section with sides of 20 mm. Takethe relative permeability of soft iron as 1100. Determine the flux density
Chapter 1 Solutions
Electric machinery fundamentals
Ch. 1 - What is torque? What role does torque play in the...Ch. 1 - What is Amperes law?Ch. 1 - What is magnetizing intensity? What is magnetic...Ch. 1 - How does the magnetic circuit concept aid in the...Ch. 1 - What is reluctance?Ch. 1 - What is a ferromagnetic material? Why is the...Ch. 1 - How does the relative permeability of a...Ch. 1 - Prob. 1.8QCh. 1 - What are eddy current losses? What can be done to...Ch. 1 - Why are all cores exposed to ac flux variations...
Ch. 1 - What is Faraday law?Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - Prob. 1.14QCh. 1 - The linear machine in Figure 1-19 is running at...Ch. 1 - Just how does a decrease in flux produce an...Ch. 1 - Will current be leading or lagging voltage in an...Ch. 1 - What are real, reactive, and apparent power? What...Ch. 1 - What is power factor?Ch. 1 - Prob. 1.1PCh. 1 - A flywheel with a moment of inertia of 4kgm2 is...Ch. 1 - A force of 10 N is applied to a cylinder of radius...Ch. 1 - A motor is supplying 50Nm of torque to its load....Ch. 1 - A ferromagnetic core is shown in Figure P1-2. The...Ch. 1 - A ferromagnetic core with a relative permeability...Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A core with three legs is shown in Figure P1-5....Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A wire is shown in Figure P1-7 that is moving in...Ch. 1 - Repeat Problem 1-10 for the wire in Figure P1-8.Ch. 1 - Prob. 1.12PCh. 1 - A core with three legs is shown in Figure P1-10....Ch. 1 - A two-legged magnetic core with an air gap is...Ch. 1 - A transformer core with an effective mean path...Ch. 1 - The core shown in Figure P1-2 has the flux shown...Ch. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Demonstrate that Equation (1-59) can be derived...Ch. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - For the linear machine of Problem 1-22: When this...
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- A dc machine has hysteresis loss of 300 W and an eddy current loss of 200 W when running at 1200 rpm. At what speed will the total core losses be a quarter of the original if the flux is to be twice as the original.arrow_forwardThe length of a magnetic circuit in a moving iron instrument is 300mm.The coil around the soft iron core has 360 turns and takes a current of 1.75A.The core is square in section with sides of 20mm.Take the relative permeability of soft iron as 1100. Determine the magnetomotive force in the core. Determine the field strength. Determine the flux density. Determine the total flux.arrow_forwardFor the electromagnet of Figure-a. Find the flux density in the core.b. Sketch the magnetic flux lines and indicate theirdirection.c. Indicate the north and south poles of the magnet.arrow_forward
- Iron losses in a DC machine are independent of variations in ) load voltage speed O All of thesearrow_forward1.Consider the magnetic core below.All dimensions are shown on the figure. The core is made up of legs with 2 different cross-sectional areas.The depth of core is 10cm.The relative permeability of the core is 2000. The current in the magnetising coil is 1 A. The number of turns of the coil is 2000.Calculate: (i)the reluctances and draw the magnetic circuit (ii)the flux in the core (iii)Flux densities B and field intensities H in legs having different cross-sectional areas. (iv)Verify Ampere's Law. Depth: 10 cm I=1A 20cm 2000 Turns 65cm 15cm 15cm 50cm 15cm ndo un ofarrow_forwardA simple magnetic circuit is shown in Figure 1. The turn ratio is 250 turns and the current is 3.2 A. 15 cm 25 cm 25 cm N Figure 1: System for Q1 2 cm a) Draw the equivalent electric circuit and find the reluctance of each section. b) Find the total flux at the middle section of the circuit (where the winding is). c) Find the flux density at the right leg of the corearrow_forward
- An iron circuit with a small 0.75 mm air gap is shown in Figure 1. A 6000 turn coil carries a current I = 18 mA which sets up a flux within the iron and across the air gap. The cross section of the iron is a consistent 0.8 cm?, and the mean length of the flux path is 0.15 m. a) Redraw the magnetic circuit using schematic symbols of an electric circuit with reluctance in each part of the circuit. b) State's Ohm's Law for magnetic circuit. c) By neglecting the effect of fringing, calculate the reluctance of the circuit. d) Find the flux within the core. N = 6000 Iron circuit (4, = 800 for iron). Figure 1arrow_forwardQuestion 1 A ferromagnetic core is shown in Figure 1. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. a) Find the value of the current that will produce a flux of 0.005 Wb. b) With this current, what is the flux density at the top of the core? c) What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. cm -10 cm-- 20 cm 15 cm 500 turns 15 cm 15 cm Core depth 5 cm Figure 1arrow_forwardIn a certain magnetic circuit, the core is represented two reluctances as shown below. Assume a relative permeability r = 2500, and a number of turns N = 420 turns. Find the current needed to produce a flux of 10 mWb in the core. Fi Select one: a. i 95 mA O b. i 0.95 A O c. i 0,226 A O d. i 9.5 mA Oe. None RI E =15624 A.t/Wb Rgap = 24.2 KA.t/Wbarrow_forward
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