Hint 4 find a new expression for the electric field

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Hint 5. Putting it all together
Information about the electric field at a particular point was given in the introduction, so the potential difference
between the wire and the cylinder can now be calculated at that point.
Correct
It is also possible to find the potential difference between the inner wire and the outer cylinder by integrating the
electric field from to , and then from to , using the given
value of the field at as an intermediate integration limit. However, this is much more difficult to do,
since the charge per unit length on the wire is not known, and is not necessary if you instead find an expression for
the electric field in terms of the potential difference.
Hint 4. Find a new expression for the electric field
Using the equation for the potential difference that was found in Hint 3, rewrite the expression for the
terms of electric field and the radial distance
Express your answer in terms of some or all the variables , , , , and any appropriate constants.
in
.

Anderson Video - Metals in Electrostatic Equilibrium
First, launch the video Metals in Electrostatic Equilibrium . After watching the video, answer the follow-up question below.
Part A
Which of the following is NOT true of a charged metal?
.
.

Part A
What amount of work does a force do pushing a positive charge forward along an equipotential line?
Correct
Problem 23.61
A long metal cylinder with radius is supported on an insulating stand on the axis of a long, hollow, metal tube with radius . The
positive charge per unit length on the inner cylinder is , and there is an equal negative charge per unit length on the outer
cylinder.
Part A
Calculate the potential for . ( Hint: The net potential is the sum of the potentials due to the individual
conductors.) Take at
Express your answer in terms of some or all of the variables , , , , and constants
.
, .
ANSWER:
Part B
=

Calculate the potential for
Express your answer in terms of some or all of the variables , , , , and constants
.
, .
Part C
Calculate the potential for
Express your answer in terms of some or all of the variables , , , , and constants
.
, .
ANSWER:
Part D
Find the potential of the inner cylinder with respect to the outer.
Express your answer in terms of some or all of the variables , , , , and constants , .
Part E
Use equation and the result from part D to find the magnitude of the electric field at any point between the
cylinders.
Express your answer in terms of some or all of the variables , , , , and constants , .
Part F
What is the potential difference between the two cylinders if the outer cylinder has no net charge?
Express your answer in terms of some or all of the variables , , , , and constants , .
Score Summary:
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