Q2. a) With reference to Figure 1, the Biot-Savart law can be used to show that themagnetic flux density due to a straight current-carrying wire of finite length isgiven byμο4πr(cos α₂-cos α₁) ad₁αFigure 1Show that this expression is consistent with Ampère's law when applied to along straight current carrying conductor and explain the limitations of applyingAmpère's law to practical circuits.

Limitation of Ampere's Circuital Law: It applies only to Magnetostatics and is true for steady…

Answered: Q2. a) With reference to Figure 1, the…

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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A ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. -10 cm- - 20 cm- 15 cm 400 turns 15 cm 15 cm Core depth 5 cm
Amagnetic field is being generated by a current of 2.0A flowing through 180 turns of wire on a core having a reluctance of 210000.0 At/Wb. Determine the flux of the circuit in mWb.
5-5.When one coil of a magnetically coupled pair has a current 5.0 A the resulting fluxes ?11and ?12 are 0.2mWb and 0.4mWb, respectively. If the turns are N1= 500 and N2=1500, find L1, L2, M, and the coefficient of coupling k
A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. 1-5. 10 cm- 5em 20 em 15 cm 15 cm 15 cm Coe depth - Scm SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a second region, and the right side forms a third region. If we assume that the mean path length of the flux is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
A magnetic circuit has a m.m.f. of 400 AT and a reluctance of 2 x 105 AT/Wb. The magnetic flux in the magnetic circuit is_ mWb. 6 X
Consider a ferromagnetic ring (nucleus) that has a mean circumference of 40 cm, 300coiled copper turns and a sectional area of 5 cm2. A current of 2 is appliedA to winding, producing a flux of 1.5 mWb.Determine the permeability of the core material.Determine the relative permeability of the core material.If the ferromagnetic ring has an air gap of 2 mm. Find the required MMFso that the flux density in the gap is 0.5 T.
B. For the following magnetic circuit, the flux passing through the core is 1.32 mWb, the cross section of the core is 3 cm by 4 cm, the laminated section has a stacking factor of 0.9, and the gap is 1 mm. Determine the flux density in each section. Neglect fringing d N turns Cast iron Air gap Laminated sheet steel
A ring of ferromagnetic material has a rectangular section. The inner diameter is 15 cm.The outer diameter is 24 cm. And the thickness is 5 cm. There is a coil of 500 turns wound onthe ring. When the coil has a current of 10 A, the flux in the core is 0.0007 Wb. Theaverage length of the ring is Ln=0.66m Determine:a) The magnetomotive force.b) The intensity of the magnetic field and the flux density.c) Reluctance, permeability and relative permeability.
The core of a transformer operating at 50 Hz has an eddy current loss of 100 W/m3 and the corelaminations have a thickness of 0.50 mm. The core is redesigned so as to operate with the same eddycurrent loss but at a different voltage and at a frequency of 250 Hz. Assuming that at the new voltage themaximum flux density is one-third of its original value and the resistivity of the core remains unaltered,determine the necessary new thickness of the laminations. Clear and detailed solution.
A toroidal core with a mean circumference of 100 cm and a cross-sectional area of 10 cm2 is wound with 500 turns of wire. What current would be required to generate a flux of 1 mWb in the core. Assume the core has a relative permeability of 800
Example(6): A magnetic circuit containing an air gap is shown in Figure below. With the dimension as marked, calculate the current in the coil to establish a flux density of 0.6 T in the air gap. The core has the B - H characteristics. Repeat above but correct for fringing and lamination. Consider SF=0.95, FF 1.08 while is as above. 2 mm) A-5cm²
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm -30 cm- 7 em 30 ст 7 cm 30 cm -0.07 cm 300 turns 0.05 cm- 7 сm Core depth = 5 cm

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