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We had a finite line of charge, of length L and total charge Q, centered at the

ID: 2231828 • Letter: W

Question

We had a finite line of charge, of length L and total charge Q, centered at the origin.

1.Using result for the electric field a distance x away from the center of the rod: E=K?(1/(x-(L/2))-1/(x+(L/2))) and the definition of electric potential difference to find a formula for the electric potential a distance r from the center of the charged rod along its axis, find the absolute potential by taking the initial point where we have defined V = 0. (Hint: after performing the integral, but before evaluating it, use log properties to avoid problems with the log of infinity.)

2.Use the formula for the electric potential for a point charge to find the electric potential a distance r from the center of the charged rod along its axis. Does this match your formula from part a? (hopefully it does

Explanation / Answer

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