Earth Is the Lords
5th Edition
ISBN: 9781121660069
Author: Caldwell, Taylor
Publisher: MCG/CREATE
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Chapter 1, Problem 1.9P
A two-legged core is shown in Figure P1-4. The winding on the left leg of the core
Assume
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Students have asked these similar questions
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.
Below you can find a ferromagnetic core and its magnetization curve. If i1=0.4 A and i2= 0.9A, find magnetic flux in the core and the relative permeability under these conditions.
i.
Calculate the current that required to produce a flux density of 0.5 T in the central
leg of the core.
ii.
Calculate the current that required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in Q1(b) (i).
iii.
Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (i).
iv.
Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (ii).
v.
Explain the conclusion that you can make about reluctances in real magnetic cores.
Chapter 1 Solutions
Earth Is the Lords
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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- Q1. A core with three legs is shown in Figure. Its depth is 5 cm, and there are 100 turns on the leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each of the three legs of the core? What is the flux density in each of the legs? Assume a 5% increase in the effective area of the air gap due to fringing effects.arrow_forwardThe permeability of an annealed iron core is 5600 × 10-6 Tm/At when the current is 80 mA. The coil consists of 200 turns on core 20 cm in length. Find (a) the field intensity, (b) the flux density, and (c) its relative permeability.arrow_forwardAn 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.arrow_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_forwardThe 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.arrow_forwardA 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_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 4-pole wave wound armature has 120 conductors and runs at 1000 rpm. If the flux per pole is 40 mWb, the emf generated is? (Our subject is Electrical Machines 1 ) (I need a clear answer and solution. Thank you so much)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_forward
- Determine 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_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 . 3.4.1 Determine the magnetomotive force in the core 3.4.2 Determine the field strength 3.4.3 Determine the flux density 3.4.4 Determine the total fluxarrow_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: a)magnetomotive force, mmf b)magnetic field intensity, H c)flux density, Barrow_forward
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