By Hermann A. Haus

Hardcover: 742 pages
Publisher: Prentice corridor (September 1989)
Language: English
ISBN-10: 013249020X
ISBN-13: 978-0132490207

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Where λf , the total flux of magnetic field linking the coil, is defined as the flux linkage. Note that Faraday’s law makes it possible to measure µo H electrically (as now demonstrated). 1. Voltmeter Reading Induced by Magnetic Induction The rectangular coil shown in Fig. 4 is used to measure the magnetic field intensity associated with current in a wire. 1. The height and length of the coil are h and l as shown, and because the coil has N turns, it links the flux enclosed by one turn N times. 10), evaluation of (8) gives � z+l � R+h λf = µo N z R � i drdz = 2πr � µo N l h ln 1 + 2π R �� i (9) In the experiment, the current takes the form i = I sin ωt (10) 36 Maxwell’s Integral Laws in Free Space Chapter 1 where ω = 2π(60).

5 is negligible. So long as the field probe is within a distance r from the wire that is small compared to the distance to the ends of the wire or to the return wires below, the magnetic field intensity is predicted quantitatively by (10). The curve shown is typical of demonstration measurements illustrating the radial dependence. Because the Hall­effect probe fundamentally exploits the Lorentz force law, it measures the flux density µo H. A common unit for flux density is the Gauss. For conversion of units, 10,000 gauss = 1 tesla, where the tesla is the SI unit.

6. As in the previous illustration, the line integral is the product of the circumference and Hφ . The surface integral gives nothing if r < R, but gives 2πR times the surface current density if r > R. Thus, � 2πrHφ = 0; 2πRKo ; rR � 0; Ko R ; r rR (11) Thus, the distribution of Hφ is the discontinuous function shown in Fig. 6. The field tangential to the surface current undergoes a jump that is equal in magnitude 26 Maxwell’s Integral Laws in Free Space Chapter 1 Fig. 7 Amp` ere’s integral law is applied to surface S � enclosed by a rect­ angular contour that intersects a surface S carrying the current density K.

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