Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 1, Problem 1.12P
To determine
To find: The flux produced in the core by the specified current. Also, the relative permeability of the given core.
To check: Whether the assumption for the relative permeability is good or not for the given conditions. Also, whether this assumption in general is good or not.
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Answer what is requested in each item of the following magnetic circuit. Use at least 4 decimal places in the calculations. The magnetic core in the figure has a uniform depth of 5cm, the relative permeability is 3000 and the currents in the openings are i1=4A, i2=2A. Calculate the value of average length in the air gaps (X) if the central flux density is 0.6T and there is no increase in area by the marginal section of the air gaps.a) flux from the rightb) Flux from the leftc) Average distance Xd) Flux density in the air gaps.
Q4)
A 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.
A long solenoid is wound with1000 turns of thin insulated wire over a 15cm length. The core of the solenoid is iron, with a susceptibility of 3000. What is the permeability? What is the relative permeability? What is the magneticintensity H when the current is 10 mA? What is the magnetization of iron for this H? What is the magnetic field B for this H?
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 ferromagnetic core is shown in Fig.1. The depth of the core is 7,5 cm and material relative magnetic permeability is 800. The number of the turns is 500. The sizes of the core are given in the Figure. Air Magnetic permeability is μ0= 4π x 10-7. What is the reluctance of this core in kiloH-1 ?arrow_forwardA solenoid similar to the figure below, has a core made of cast steel (refer to the figure on the next slide). It has a cross-sectional area of 4cm2 and a mean length of 20cm. The coil has 100turns, and the coil current is 3.2A. Find the following: d)Permeability, μ e) the relative permeability, μr f) the core reluctance, R and g) the flux, Øarrow_forwardAn 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_forward
- Consider the magnetic circuit in figure. A current of (3A) flowsthrough 200 turns of wire around a core of cross sectional aea of10-3 m2 and a relative permeability of 5000.a) Determine the magnetic flux in each legb) Determine the magnetic field intensity in the air gapc) Determine the magnetic force on the across the air gaparrow_forwardA 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_forwardDetermine the emf generated by a 4-pole simplex lap wound armature having 300 conductors running at 900 rpm. The flux per pole is 50 mWb (Our subject is Electrical Machines 1 ) (I need a clear answer and solution. Thank you so much)arrow_forward
- Hw1-6: Derive the equation for rms core flux of ideal ac magnetic circuit using Ohm's of magnetic circuits. Explain the result.arrow_forwardShow your complete and detailed solution. Round off your answers to 4 decimal digits and box your final answers. 1. An iron ring has a mean circumferential length of 50 cm and a cross-sectional area of 2 cm². It is wound uniformly with 600 turns of wire. Measurements made with a search coil around the ring show that the current in the windings is 0.05 A and the flux in the ring is 5 µWb. Find the flux density B, field intensity H, permeability µ, and relative permeability µr.arrow_forwardWhich of the following is the analogous of current in an electrical circuit when it is compared to a magnetic circuit? Reluctance Magnetomotive force Magnetic flux Permeabilityarrow_forward
- In the magnetic circuit in the figure, the relative with a magnetic permeability of 2000 the cross-sectional area of the core is constant and 1 [m2 ] is. middle arm (AB) Find the magnetic flux.arrow_forwardAssume that the magnetic core shown in the fig is made up of M19 29 gauge sheets with a cross sectional area of 25sqcm and an average flux length of 60cm if the coil has 350 turns. Determine the following. a) the amount of current requiered to produce 0.039 Wb of flux in the core. b) The relative preamibility of the core at the current level found in part (a) c) The reluctance of the core.arrow_forwardQuestion (1). The current in a conductor on the armature of a dc motor is 300A. The flux under the poles is 850μWb. The area per pole is 700 mm2. The length of the conductor on the armature is 640mm. Calculate the force exerted on the conductor. Question 3.4 (3.4)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. Take the relative permeability of soft iron as 1100. 3.4.1) Determine the magnetomotive force in the core 3.4.2)Determine the field strength 3.4.3) Determine the total fluxarrow_forward
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