Question about Electric Potential

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The discussion focuses on calculating the electric potential at point P due to a uniformly charged rod with a total charge of 8 microcoulombs. The method involves dividing the rod into infinitesimal segments, treating each segment as a point charge, and integrating the potential contributions from each segment. The final calculation uses the formula for electric potential, integrating from 10 cm to 45 cm, and incorporates the linear charge density (λ) and Coulomb's constant (k).

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How do I calculate the potential at the point P? Assuming the rod is charged with 8 micro Coloumbs? I'm looking at equations, Kq/r, and I think there is some integrating involved, but I'm stumped. Here is a diagram...any help is greatly appreciated!


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| 10 cm....35 cm
P - - - - ====================
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Okay, I guess the double line refers to the rod (which is 35 cm long?), and P is 10cm from the end of the rod.

Divide your rod into little segments of length dx. Assume the rod has uniform charge density and write down the charge on this element. Treat each element as a point charge, at distance x from P and write down the potential due to this point charge at P. Now integrate this between the values of x that the rod occupies.
 
Thanks very much! I was able to get the answer by integrating dr/r from (.10 to .45), and multiplying by lamda (Q/.45) times k.
 

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