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Discussion Question 4B
P212, Week 4
Electric Potential in a System with Cylindrical Symmetry
Consider a nonconducting cylinder of infinite length and radius
a
, which carries a volume
charge density
ρ
.
Surrounding this object is an uncharged conducting cylindrical shell.
The
metal tube is also of infinite length, and its inner and outer radii are
b
1
and
b
2
respectively.
In
this problem, we will define the potential to be
zero
at the
outer
surface
of the conducting shell.
(a)
What is the electric potential at a radius of 10 cm from the center of the cylinders?
(i)
In all of these potential problems, we have to integrate the electric field from a point
where we
know
the potential to the point we are interested in.
In this problem, we want
the potential at a point 10 cm from the axis of symmetry .
.. let's call this point 'A'.
Now,
where do we
know
the potential?
Write down an expression for V
A
(the quantity we
want) in terms of a potential we know and an integral over the electric field.
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This note was uploaded on 06/16/2011 for the course PHYS 212 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim
 Charge, Electric Potential, Magnetism

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