a) An iron ring, having a mean circumference of 250 mm and a cross-sectional area of 400mm², is wound with a coil of 70 turns. Using the following data, calculate the currentrequired to set up a flux of 510µWb in the ring.H (A/m) 3506001250B (T)1.01.21.4b) Calculate also:i. The inductance of the coil at the current obtained in Question 2 (a) above.ii. The self-induced e.m.f. if this current is switched off in 0.005 s. Assume that thereis no residual flux.

Answered: Image /qna-images/answer/6162598e-1833-43ca-8f1f-ebef4f4ec776.jpg

Answered: a) An iron ring, having a mean…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A flux of 0.0016 Wb flows in a silicon sheet steel coil/core. The arrangement appears as shown below with the following dimensions: Ac = 0.0025 m? Core/gap area: Flux path length: le = 0.350 m lg = 0.0015 m N = 500 Air gap length: Number of turns: %3D A. What is the current, I, through the winding? B. What is the energy stored in the inductance? C. Assume that the current is given by i =9.75 sin (3147) A. What is the RMS voltage that would appear across the winding? D. Assume that the gap is removed from the arrangement with the flux path remaining at 0.350 m. For a flux of 0.0016 Wb, what is the inductance of the arrangement? E. What is the energy stored in the inductance with the gap removed?
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.
a) b) Define the mutual inductance between two coils not electrically connected. Coils A and B are magnetically coupled. Coil A has a self-inductance of 0.30 H and 300 turns, and coil B has a self-inductance of 0.20 H and 120 turns. A change of flux of 8 mWb occurs in coil B when a current of 3A is reversed in coil A. Determine: i. The mutual inductance between the coils, and ii. The coefficient of coupling. CS Scanned with CamScanner
Two coils A and B having 1200 and 800 turns respectively are placed near to each other. 60% of the flux of each coil is linked with the other coil. A current of 5A in coil A produces a flux of 0.25 mWb while the same current in coil B produces a flux of 0.15 mWb. Determine the mutual inductance and coefficient of coupling between the two coils. SOLVE PLZ
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.
A ferromagnetic core in the shape of a doughnut has a cross-sectional area of 0.11 m2 and an average length of 1.4 m. The permeabil ity of the core is 1.206 × 10-3 Wb/A-t. m. Determine the reluctance of the magnetic circuit
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 50 Hz CT has 20 primary turns and 60 secondary turns, on a core of cross section 8 cm2. The secondary current is 5 amp. The impedance of the burden and the secondary winding are together equal to 0.7 + j 0.4 ohm. The excitation current required in the primary current to produce the working flux with the secondary open circuit is 0.6 angle 45 amp. Calculate the flux density in the core and the ratio and phase errors.
constant. 15 cm core depth = 15 cm Problem 2 A ferromagnetic core with a relative permeability of 2000 is shown in Figure. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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, what is the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap? |7 cm 30 cm 7 cm 7 cm 30 cm 7 cm 30 cm -0,05 cm 300 turns 0.07 cm 7 cm 1|Page
Q.4/ choose true or false: 1. The reluctance of any core is proportional directly with the length of it and inversely with both the permeability and the cross-section area of it. 2. The number of parallel paths in wave windings is equal to twice of the number of poles. 3. In dc machines with same values of Z, N, Ø, the emf for wave winding type is more than emf of lab winding type. 4. If we insert a current in such a conductor subjected to a constant magnetic field, a movement will achieved giving the principle of electric generator.
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 ferromagnetic core with a relative permeability of 1500 is shown in the following figure. The depth of the core is 5 cm. 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 1.25 A, find the magnetic flux and the field density in all three legs of the core, as well as the magnetic flux and flux density in the two air gaps.

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