Find an expression for the electric potential

unger36
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Homework Statement



Find an expression for the electric potential a distance z away from the center of rod on the line that bisects the rod.

Express your answer in term of k, Q, L, z and appropriate constants.

Here is the picture.

29_P69.jpg



Homework Equations





The Attempt at a Solution



I'm thinking it should be (kQL)/z. I just can't figure out why that isn't correct.
 
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Hi Unger, welcome to PF!:smile:

unger36 said:

The Attempt at a Solution



I'm thinking it should be (kQL)/z. I just can't figure out why that isn't correct.

Why do you think it is kQL/z?...That doesn't even have the correct units for potential!:wink:

Instead of blindly guessing at the answer, you should try to actually calculate it!:smile:

Hint: Use Coulomb's Law for a continuous charge distribution.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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