EBK ELECTRIC MACHINERY
5th Edition
ISBN: 9780100253919
Author: Chapman
Publisher: YUZU
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Textbook Question
Chapter 1, Problem 1.15P
A transformer core with an effective mean path length of 6 in has a 200-turn coil wrapped around one leg. Its cross-sectional area is
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For the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 40 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?
An iron-cored choke is designed to have an inductance of 12.5 H when operating at a flux density 3 T, the corresponding relative permeability of iron core is 1500. Determine the number of turns in the winding, given that the magnetic flux path has a mean length of 20 cm in the iron core and 2 mm in air-gap that its cross-section is 15 cm2.
* ROUNDING OFF is ALLOWED only in the final answers expressed up to FIVE (5) DECIMALPLACES.
The magnetic circuit of Figure shown has current 10 A in the coil of 1800 turns. Assume that all branches have the same cross section of 2 cm^2 and that the material of the core is iron with μr = 1500. Calculate magnetomotive force for the core.
Chapter 1 Solutions
EBK ELECTRIC MACHINERY
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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- An iron ring of mean length 100 cm with an air gap of 2 mm has a winding of 500 turns. The relative permeability of iron is 600. When a current of 3 A flows in the winding, determine the flux density. Neglect fringing.arrow_forwardConsider the magnetic circuit shown in Figure T14.4. The core has a relative permeability of 1500. a. Carefully estimate the flux density in the air gap. b. Determine the inductance of the coil.arrow_forwardAn iron ring mean length 100 cm with an air gap of 2 mm has a winding of 200 turns. If the permeability of iron is 600. When a current of 3 A flows in the winding, determine the flux density. Neglect fringing.arrow_forward
- A core with three legs is shown in the figure below. Its depth is 5 cm, and there are 400 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of steel having the magnetization curve is also given below. Answer the following questions about this core: 1. What current is required to produce a flux density of 0.5 T in the central leg of the core? 2. What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)? 3. What are the reluctances of the central and right legs of the core under the conditions in part (a)? 4. What are the reluctances of the central and right legs of the core under the conditions in part (b)? 5. What conclusion can you make about reluctances in real magnetic cores?arrow_forwardIn a 2 pole lap winding dc machine , the resistance of one conductor is 2Ω and total number of conductors is 100. Find the total resistance.arrow_forwardA square magnetic core has a mean path length 55cm and x-sectional area of 150cm2. A 200 turns coil of wire is wrapped around one leg of the core. The core is made of the material having relative permeability 3980. Find • How much current is required to produce 0.012 Wb of flux in the core • Calculate the reluctance and magnetomotive force.arrow_forward
- magnetiec core the relative permeability for metal is 5000 have a gap is 0.5 cm and cross secation area of it is 10.5 cm2 and B=0.1T magnetice path length is 50 cm and N=500 turns . calculate the value of flux and the value of currentarrow_forwardA solenoid is 1 Cm long with a diameter of 0.5 Cm. The core is SiFe with a relative permeability of 4200. Assuming a current of 100 mA, what is the maximum number of turns for the winding that keeps the core under the saturation magnetic field of about 1.5 Tesla?arrow_forward1) A ferromagnetic core is shown in Figure 1. The relative permeability of the core isassumed to be 2500 and constant. There is a 5% increase in the effective area ofthe air gap due to fringing effects. The depth of the core is given as 5 cm.a) Calculate the total reluctance, total, of the corearrow_forward
- A small single-phase 60 Hz transformer has 10.2 W at no load. The core has a volume of 750 cm3. The maximum flux density is 10,000 G and the hysteresis constant of the core is 0.0005. Using the Steinmetz law on hysteresis loss, find the eddy current loss.arrow_forward1. A type material that is not affected by magnetic field. 2. If the number of turns is doubled, what will happen to the inductance? 3. It provides magnetic pressure which sets up or tends to setup flux in a magnetic.arrow_forwardA single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the core is 1.8 m and the joints are equivalent to an airgap of 0.1 mm. The value of the magnetic field strength for 1.1 T in the core is 400 A/m, the corresponding core loss is 1.7 W/kg at 50 Hz and the density of the core is 7800 kg/m3. If the maximum value of the flux density is to be 1.1 T when a p.d. of 2200 V at 50 Hz is applied to the primary, calculate: a. the cross-sectional area of the core; b. the secondary voltage on no load; c. the primary current and power factor on no loadarrow_forward
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