4.2 A toroid has a circular cross section as shown in Fig. 4.31. It is made from cast steel with a relative permeability of 2500. Its outer diameter is 24 cm, and its inner diameter is 16 cm. The magnetic flux density in the core is 1.25 tesla measured at the mean diameter of the toroid. 250 turns 8 cm 12 cm FIGURE 4.31 Magnetic circuit of Problem 4.2. a. Find the current that must be supplied to the coil, which consists of 250 turns. b. Determine the magnetic flux in the core. c. A 10-mm air gap is cut across the toroid. Determine the current that must

4.2 A toroid has a circular cross section as shown in Fig. 4.31. It is made from cast steel with a relative permeability of 2500. Its outer diameter is 24 cm, and its inner diameter is 16 cm. The magnetic flux density in the core is 1.25 tesla measured at the mean diameter of the toroid. 250 turns 8 cm 12 cm FIGURE 4.31 Magnetic circuit of Problem 4.2. a. Find the current that must be supplied to the coil, which consists of 250 turns. b. Determine the magnetic flux in the core. c. A 10-mm air gap is cut across the toroid. Determine the current that must

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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Concept explainers

Solenoids

A solenoid is a common term for a telephone coil used as an electromagnet. It also refers to any device that uses a solenoid to convert electrical energy into mechanical energy. The device generates a magnetic field from an electric field and uses the magnetic field to produce precise motion. Solenoid valves are often used to change power, such as in-car transmitters or valves, such as in the fuel system.

Question

4.2 A toroid has a circular cross section as shown in Fig. 4.31. It is made from cast
steel with a relative permeability of 2500. Its outer diameter is 24 cm, and its inner
diameter is 16 cm. The magnetic flux density in the core is 1.25 tesla measured at the
mean diameter of the toroid.
250 turns
8 cm
12 cm
FIGURE 4.31 Magnetic circuit of Problem 4.2.
a. Find the current that must be supplied to the coil, which consists of 250 turns.
b. Determine the magnetic flux in the core.
c. A 10-mm air gap is cut across the toroid. Determine the current that must
be supplied to the coil to produce the same value of magnetic flux density as in
part (a).

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