35 The magnetic circuit shown in Figure P13.35 is a very simplified representation of devices used as surface roughness sensors. The stylus is in contact with the surface and causes the plunger to move along with the surface. Assume that the flux o in the gap is given by the expression o = B/R(x), where B is a known constant and R(x) is the reluctance of the gap. The emf e is measured to determine the surface profile. Derive an expression for the displacement x as a function of the various parameters of the magnetic circuit and of the measured emf. (Assume a frictionless contact between the moving plunger and the magnetic structure and that the plunger is restrained to vertical motion only. The cross-sectional area of the plunger is A.) Permanent magnet No Stylus A surface roughness sensor
35 The magnetic circuit shown in Figure P13.35 is a very simplified representation of devices used as surface roughness sensors. The stylus is in contact with the surface and causes the plunger to move along with the surface. Assume that the flux o in the gap is given by the expression o = B/R(x), where B is a known constant and R(x) is the reluctance of the gap. The emf e is measured to determine the surface profile. Derive an expression for the displacement x as a function of the various parameters of the magnetic circuit and of the measured emf. (Assume a frictionless contact between the moving plunger and the magnetic structure and that the plunger is restrained to vertical motion only. The cross-sectional area of the plunger is A.) Permanent magnet No Stylus A surface roughness sensor
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:35 The magnetic circuit shown in Figure P13.35 is a
very simplified representation of devices used as
surface roughness sensors. The stylus is in contact
with the surface and causes the plunger to move along
with the surface. Assume that the flux o in the gap is
given by the expression o = B/R(x), where B is a
known constant and R(x) is the reluctance of the gap.
The emf e is measured to determine the surface profile.
Derive an expression for the displacement x as a
function of the various parameters of the magnetic
circuit and of the measured emf. (Assume a frictionless
contact between the moving plunger and the magnetic
structure and that the plunger is restrained to vertical
motion only. The cross-sectional area of the
plunger is A.)
Permanent magnet
No
Stylus
A surface roughness sensor
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