Two straight bars of length L have equal but opposite uniform linear charge densities with magnitude 1 and are oriented perpendicular to each other as shown. Point P is located a distance L perpendicular to the midpoint of each bar. In terms of the variables given and fundamental constants, a) Relative to infinity, what is the electric potential at point P? b) What would be the change in potential energy of this collection of charges if a charge +Q was brought from infinity to point P? L + + - + + + +
Two straight bars of length L have equal but opposite uniform linear charge densities with magnitude 1 and are oriented perpendicular to each other as shown. Point P is located a distance L perpendicular to the midpoint of each bar. In terms of the variables given and fundamental constants, a) Relative to infinity, what is the electric potential at point P? b) What would be the change in potential energy of this collection of charges if a charge +Q was brought from infinity to point P? L + + - + + + +
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Transcribed Image Text:Two straight bars of length L have equal but opposite uniform linear charge densities with
magnitude l and are oriented perpendicular to each other as shown. Point Pis located a
L
distance perpendicular to the midpoint of each bar. In terms of the variables given and
fundamental constants,
a) Relative to infinity, what is the electric potential at point P?
b) What would be the change in potential energy of this collection of charges if a charge +Q
was brought from infinity to point P?
+ + + + + + + + +
L
P
Expert Solution
Step 1
(a) At point P, the electric potential due to the positively charged straight bar is equal but opposite in sign to the electric potential due to the negatively charged straight bar. This is because point P is symmetric to both the straight bars and both the bars are oppositely charged.
Thus, the net electric potential at this point w.r.t. infinity is 0.
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