The magnetic structure of Figure Q7 1 has a rerromagnetic core that can be treated as infinitely permeable Air-gap fringing Is negligible Let N 10 turns, A 02 m and gap length is 0 5 x 10 m The coil is excited by a sinusoldal voltage source that establishes a flux given by (t) 0 25stn20t Wb. The resistance of the coil can be neglected Determine the supply voltage, t), the current, t) and the inductance of the coil, L. Area, A LAir Vstt n 8. Figure Q7.1. Solutions Insert your solutions in the spaces provided below. Give your numerical values to the nearest whole number unless where stated otherwise. vt) = Volts A. H (give vour answer correct to 3 decimal places)

The magnetic structure of Figure Q7 1 has a rerromagnetic core that can be treated as infinitely permeable Air-gap fringing Is negligible Let N 10 turns, A 02 m and gap length is 0 5 x 10 m The coil is excited by a sinusoldal voltage source that establishes a flux given by (t) 0 25stn20t Wb. The resistance of the coil can be neglected Determine the supply voltage, t), the current, t) and the inductance of the coil, L. Area, A LAir Vstt n 8. Figure Q7.1. Solutions Insert your solutions in the spaces provided below. Give your numerical values to the nearest whole number unless where stated otherwise. vt) = Volts A. H (give vour answer correct to 3 decimal places)

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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An ideal core (assume relative permability is infinity) with a crossectional area of 12 cm2is excited via 10A current flowing through coil with 200 turns. On the one side of the coil, a 1 cm long paramagnetic material (µr=1) is placed. Calculate the magnetic field on paramagnetic material
A coil has N=25 turns. The toroid on which the coil is wound has ID=5 cm and OD = 5.5 cm. The geometryresults in a mean path length of 0.165 meters and a cross sectional area of 4.91 micrometer squared. What equation is used for calculating the field strength (also called intensity) H along the mean-path length within the toroid? Calculate the Reluctance in the path of flux lines if Mr is 500.What is the resulting Inductance?
For the circuit shown in Figure:a. Determine the reluctance values and show themagnetic circuit, assuming that μ = 3,000μ0.b. Determine the inductance of the device.c. The inductance of the device can be modified bycutting an air gap in the magnetic structure. If a gapof 0.1 mm is cut in the arm of length l3, what is thenew value of inductance?d. As the gap is increased in size (length), what is thelimiting value of inductance? Neglect leakage fluxand fringing effects.
In induction heater, heat is produced in magnetic materials when they are exposed to an direct-current ﬁeld. Select one: True False
For a motor design, you need to design a solenoid coil that produces a magnetic flux density (B) of at least 2000 gauss when a 10 mA current flows through the conductor. Due to space limitations, the coil only can be 10 turns over a 1 cm length. To obtain the needed performance, go to Table 3 and choose a core material for the coil.
A loop of wire is bent to have straight and circular arc shaped parts as shown in the figure. A constantcurrent I of 36A flows through the wire in the direction depicted in the figure. If the length R equals13 cm, determine the magnitude and the direction of the magnetic field produced by the loop of wireat point O by using Biot-Savart’s Law (µ0=≈1.26x10-6 T.m/A)
Consider the magnetic circuit has a length of 0.6 m an area of 0.0018 m2 and a single airgap of length 2.3 mm. The circuit is energised by a coil. If the core permeability is 1000, by making suitable approximations calculate: (i) the number of turns required to achieve an inductance of 12 mH; (ii) the inductor current which will result in a core flux density of 1.0 T; (iii) A particular application uses the same magnetic core but requires the airgap flux density to be increased by a factor of 1.5 while maintaining the inductance below 17mH. Design a magnetic circuit to do this. (iv) For your design, determine the maximum RMS voltage that can be applied to the coil to ensure that the peak flux remains below 1.5 T
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.
The magnitude of the induced emf in a coil due to the effect of a variable magnetic field on its length is numerically equal to the product of length of the coil and the rate of change of the linkage flux on it. true / false
A 200-turn toroidal coil (see Figure 14.8 on page 706) has r=1 cm and R=10 cm. When a current given by 0.05 sin (200t) A flows in the coil, the voltage is 0.5 cos (200t) A. Determine the flux ϕ as a function of time and the relative permeability of the core material
The two coils A and B wound coaxially on an insulating cylinder. It will be evident that the ﬂuxes produced by a current i through the two coils are in the same direction, and the coils are said to be cumulatively coupled. If the direction of the current in B relative to that in A is reverse, then coils are said to be differential coupling. Suppose A and B to have self-inductances and henrys respectively and a mutual inductance M henrys. If two coils are connected in series, their effective inductance is found to be 12.0H. However, when the connections to one coil are reversed, the effective inductance is 8.0 H. If the coefﬁcient of coupling is 0.6. a) Show that the total inductance of inductively coupled circuits is + ± 2M b) Calculate the self-inductance of each coil and the mutual inductance.
Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in science and industry use coils like this to make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R=0.12 cm, I=22 A, and N=320 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R=0.12 cm. Calculate the resultant field Bx at x1=0.03 cm, x2=0.06 cm, x3=0.08 cm, and x4=0.12 cm. For my answers I got B1 = .00416 T, B2 = .00353 T, B3 = .00306 T, and B4 = .00221 T all of which were wrong. Can you please help me?