This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: , 3 » eye—5A1 3way , 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 55, 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 zaXiS
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 55.
_ susmthemulcurrentﬂowingwithinmecontourci is _ . (trduh) = u/;Jodr=2m!ea ...
View
Full
Document
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.
 Spring '08
 Pham

Click to edit the document details