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Electricity and Magnetism HW #5 Question 1: Consider a conducting rod and conducting plane according to the setup below: z conducting rod z=a • The charge density of the rod is \lambda, the linear charge density. q=\lambda a right a ?y • The rod is located above the infinite conducting plane at a distance of z=a. ? x conducting plane at z=0 • The charge on the rod is q=\lambda a. Please calculate the electric potential \Phi(x) for \vec{x} along the z-axis with z>a. Use the method of image charges if appropriate. note: The conducting rod is above the conducting plane at its center. Do not worry about the x-y offset of the rod as it may appear in the diagram above.

          Electricity and Magnetism HW #5
Question 1:
Consider a conducting rod and conducting plane
according to the setup below:
z
conducting rod
z=a
• The charge density of
the rod is \lambda, the linear
charge density.
q=\lambda a
right
a
?y
• The rod is located above
the infinite conducting
plane at a distance
of z=a.
?
x
conducting plane
 at z=0
• The charge on the rod is
q=\lambda a.
Please calculate the electric potential \Phi(x) for \vec{x} along
the z-axis with z>a. Use the method of image charges
if appropriate.
note: The conducting rod is above the conducting plane
at its center. Do not worry about the x-y offset of
the rod as it may appear in the diagram above.

Electricity and Magnetism HW #5
Question 1:
Consider a conducting rod and conducting plane
according to the setup below:
z
conducting rod
z=a
• The charge density of
the rod is λ, the linear
charge density.
q=λa
right
a
?y
• The rod is located above
the infinite conducting
plane at a distance
of z=a.
?
x
conducting plane
at z=0
• The charge on the rod is
q=λa.
Please calculate the electric potential Φ(x) for x⃗ along
the z-axis with z>a. Use the method of image charges
if appropriate.
note: The conducting rod is above the conducting plane
at its center. Do not worry about the x-y offset of
the rod as it may appear in the diagram above.

Added by Kaitlyn G.

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