hw8 - 3 eye—5A1 3-way M13 “the Mre V M 85 3531...

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Unformatted text preview: , 3 » eye—5A1 3-way , M13 “the Mre» V M. 85 3531' -\ respectively (3) Determine the magnetic field ' 1n each of the fell ' ' - aerb,berC’anera owmgreglons.05r5a, (b) Plot the magnitude of H as a function of r over the range from r = O to r:10cm,giventhat1=10A,a=2cm,b=4cm,andc=5cm Solution: (a) Following the solution to Example 5-5, the magnetic field in the mgion , < a, A r] H ' ‘1’ 27:7: and in theregiona < r < b, H _ a I — 4’ 2m . = 1t(c2 —- b2) and the fraction of the area uter conductor 15 A o in the won losed by a circu lar contour centered at r = The total area of the o of the outer conductor enc b<r<c$ The total Current enclosed by a _7 . ericlbs’ed current is zero: the total current flowing on the" is» to the total current flowing on the outer conductor. but they in __ 1 fl _ mofipositedirections.Theref0re,H=O. 1(b) See Fig. P520. E 0.7 0 3 0.6 a: o 05 .31 En 0.4 a E P. 03 O c g 02 0 g 3 or 2 ' I 0.0 Radial distance r (cm) Figure P520: Problem 5.20(b). N Prob] 5.21 A long cylindrical conductor whose axis is coincident with the z-aXiS has a radius a and carries a current characterized by a current density J = Uo/rv where Jo is a constant and r is the radial distance from the cylindcr’s axis. Obtain 3" 'wonforthemagneticfieldnfofiaw g r_<_ aand (b) r> a. w Thisproblemisvery similartoExample 5-5. _ susmthemulcurrentflowingwithinmecontourci is _ . (tr-duh) = u/;Jodr=2m!ea- ...
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This note was uploaded on 11/02/2009 for the course EEC 130A taught by Professor Pham during the Spring '08 term at UC Davis.

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hw8 - 3 eye—5A1 3-way M13 “the Mre V M 85 3531...

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