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In the following magnetic structure the relative permeability is u, = 2500 and the core cross- sectional area is A= 0.02 m². The length of the air gap is d 1.5 mm and its effective cross- sectional area is 10% more than the core area due to fringing effect. Assume the current in coil 1 is i(t) = 10 + 10 sin(2nt +n/3) A. a) Draw the equivalent magnetic circuit and determine the values for all circuit elements; b) What is the magnetic flux in the air gap? c) Find the induced voltage (magnitude and polarity) across coil 2 of N2 100 turns when placed around the left arm as shown. What is the rms value of the induced voltage? ,10 Cm 10 40 10 40 10C Cm tair gop coil a 100 40m Can N = 50 coil 1

In the following magnetic structure the relative permeability is u, = 2500 and the core cross- sectional area is A= 0.02 m². The length of the air gap is d 1.5 mm and its effective cross- sectional area is 10% more than the core area due to fringing effect. Assume the current in coil 1 is i(t) = 10 + 10 sin(2nt +n/3) A. a) Draw the equivalent magnetic circuit and determine the values for all circuit elements; b) What is the magnetic flux in the air gap? c) Find the induced voltage (magnitude and polarity) across coil 2 of N2 100 turns when placed around the left arm as shown. What is the rms value of the induced voltage? ,10 Cm 10 40 10 40 10C Cm tair gop coil a 100 40m Can N = 50 coil 1

Introductory Circuit Analysis (13th Edition)
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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In the following magnetic structure the relative permeability is u, = 2500 and the core cross- sectional area is A= 0.02 m2. The length of the air gap is d 1.5 mm and its effective cross- sectional area is 10% more than the core area due to fringing effect. Assume the current in coil 1 is i(t) = 10 + 10 sin(2nt + n/3) A. a) Draw the equivalent magnetic circuit and determine the values for all circuit elements; b) What is the magnetic flux in the air gap? c) Find the induced voltage (magnitude and polarity) across coil 2 of N2 100 turns when placed around the left arm as shown. What is the rms value of the induced voltage? 10 Cam 40 40 10 Cm t air gap cail a 100 N, = 50 coil 1 i it)
Transcribed Image Text:In the following magnetic structure the relative permeability is u, = 2500 and the core cross- sectional area is A= 0.02 m2. The length of the air gap is d 1.5 mm and its effective cross- sectional area is 10% more than the core area due to fringing effect. Assume the current in coil 1 is i(t) = 10 + 10 sin(2nt + n/3) A. a) Draw the equivalent magnetic circuit and determine the values for all circuit elements; b) What is the magnetic flux in the air gap? c) Find the induced voltage (magnitude and polarity) across coil 2 of N2 100 turns when placed around the left arm as shown. What is the rms value of the induced voltage? 10 Cam 40 40 10 Cm t air gap cail a 100 N, = 50 coil 1 i it)
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