Problem 5.15 A thick slab extending from z = -a to z = +a (and infinite in te x and y directions) carries a uniform volume current J= Jx (Fig. 5.41). Find th magnetic field, as a function of z, both inside and outside the slab.

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5.3.4 Comparison of Magnetostatics andE
Problem 5.15 A thick slab extending from z = -a to z = +a (and infinite in the
x and y directions) carries a uniform volume current J = Jx (Fig. 5.41). Find the
The Divergence and Curl of B
5.3
The trouble is, there are infinitely man
Which one are we supposed to use?
240
Chapter 5 Magnetostatics
The divergence and curl of the electros
+a
y
1
V E =
-a
FIGURE 5.40
FIGURE 5.41
V xE = 0,
These are Maxwell's equations fo
condition E – 0 far from all charge
if the source charge density p is g
mation as Coulomb's law plus the
curl of the magnetostatic field are
x and y directions) carries a uniform volume current J
magnetic field, as a function of z, both inside and outside the slab
Problem 5.15 A thick slab extending from z = -a to z = +a (and inônie:
Jx (Fig. 5.41). Find the
%3D
Problem 5.16 Two long coaxial solenoids each carry current I, but in opnosin
directions, as shown in Fig. 5.42. The inner solenoid (radius a) has n turms ner
unit length, and the outer one (radius b) has n2. Find B in each of the three regions
(i) inside the inner solenoid, (ii) between them, and (iii) outside both.
V . B = 0
V x B =
These are Maxwell's equations
boundary condition B 0 far
DICURE 5 43
11
Transcribed Image Text:5.3.4 Comparison of Magnetostatics andE Problem 5.15 A thick slab extending from z = -a to z = +a (and infinite in the x and y directions) carries a uniform volume current J = Jx (Fig. 5.41). Find the The Divergence and Curl of B 5.3 The trouble is, there are infinitely man Which one are we supposed to use? 240 Chapter 5 Magnetostatics The divergence and curl of the electros +a y 1 V E = -a FIGURE 5.40 FIGURE 5.41 V xE = 0, These are Maxwell's equations fo condition E – 0 far from all charge if the source charge density p is g mation as Coulomb's law plus the curl of the magnetostatic field are x and y directions) carries a uniform volume current J magnetic field, as a function of z, both inside and outside the slab Problem 5.15 A thick slab extending from z = -a to z = +a (and inônie: Jx (Fig. 5.41). Find the %3D Problem 5.16 Two long coaxial solenoids each carry current I, but in opnosin directions, as shown in Fig. 5.42. The inner solenoid (radius a) has n turms ner unit length, and the outer one (radius b) has n2. Find B in each of the three regions (i) inside the inner solenoid, (ii) between them, and (iii) outside both. V . B = 0 V x B = These are Maxwell's equations boundary condition B 0 far DICURE 5 43 11
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