Coaxial Cylindrical Conductors
Given:
Find:
cm
a
2
?
x
B
A
i
2
.
1
1
cm
b
4
cm
c
6
A
i
4
.
2
2
cm
r
5
30
Two very long coaxial cylindrical conductors are shown in cross-section above. The inner cylinder
has radius
a
= 2 cm and caries a total current of
I
1
= 1.2 A in the positive z-direction (pointing out of the
screen). The outer cylinder has an inner radius
b
= 4 cm, outer radius
c
= 6 cm and carries a current of
I
2
= 2.4 A in the negative z-direction (pointing into the screen). You may assume that the current is
uniformly distributed over the cross-sectional area of the conductors.
What is
B
x
, the x-component of the magnetic field at point P which is located at a distance
r
= 5
cm from the origin and makes an angle of 30
o
with the x-axis?
Solutions
a.)
To find
x
B
we can use the following formula:

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*