Consider the following toroidal core (with a circular cross section) that is made from cast steelrefer to Fig.i6cmA12cmA'a) Determine the current required to produce a core flux density of 0.6T at the mean radiusof the toroid. The coil has 250 turns.b) Suppose a 5mm-wide air gap is now made in the core (across A-A'), determine the newcoil current required to maintain a core flux density of 0.6T.

Final Answers:(a) The required current is 22..053 A (b) The new required current with the air gap…

Answered: Consider the following toroidal core…

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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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.
15. 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
2. AC-core with a gap of 0.0001m has a coil number of 100 and a current of 10mA. First find the Reluctance of the core given that the Iron core has a negligible reluctance and only the air reluctance contributes to the majority of reluctance. The core has a cross sectional area of 2cm^2. Next find the flux flowing thru the C-core.
A three-legged ferromagnetic magnetic core with the coil dimensions shown below has a of 500 turns wrapped around the right leg. The core relative permeability is 4000 times, The magnetic flux in the left leg of the core has a value of 40 mWb. The center leg has an air gap of 0.8 mm, its fringing effect is neglected. Draw the corresponding magnetic circuit and find the values of the coil current i, and the flux in each leg of the core. cm 10 cm, 25cm 25 cm 10 cm 10 cm 25 cm 0.8 mm 500 turns 10 cm Core depth = 10 cm
An air-cored choke is designed to have an inductance of 20H when operating at a flux density of I Wb/m²: the corresponding relative permeability of iron core is 4000. Determine the number of turns in the winding: given that the flux path has a mean length of 22 cm in the iron core and I mm in air gap and that its cross-section is 10 cm².
The 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.
Magnetic flux densities for HR steel laminations and CRGO are 1.25 T and 1.75 T respectively then ratio of weight of CRGO laminations and HR laminations (Assuming same densities is for two type of core material and total flux remains the same.) ..
The figure shows a ferromagnetic core. The core depth is 5 cm. The other dimensions of the core can be seen in the figure. Find the value of the current produced by a flow of 0.005 Wb. With this current, specify the flux density on the right side of the core. Assume a relative core permeability of 800 and a 0.0017 cm gap between the thinnest part of the core. 15 cm N= 500 0.0017 cm 15 cm 15 cm - 10 cm af- 20 cm Depth 5 cm
the depth of the solid core is 5 cm. Assume that the relative permeability of the core is 1000 and remains constant and that the current in the coll is 4 A. ignore the fringing effects at the air gap and find the following
A magnetic circuit has a mean flux path length of 800 mm and a reluctance of 2.5.105 A-t/Wb. A magnetic flux of 5 mWb is produced in this circuit by an energising coil of 800 turns. Determine the: (i) m.m.f. that must be produced by the coil. (ii) magnetic field strength. (iii) voltage induced in the coil circuit if the magnetic field is allowed to collapse to zero in 2 ms. (iv) inductance of the energising coil.
A square magnetic core has a mean length of 43 cm and a cross-sectional area of120cm2. A coil of 200 turns of wire is wound around one of the columns of the core, thewhich is made of a material whose required magnetic field strength is H=115 Aturns/m. a) How much current is required to produce a flux of 0.012 Wb, in the core?b) What is the relative permeability of the core for that current?c) What is the reluctance?

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