Looking a electrical potential far away

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SUMMARY

The discussion centers on the electric potential formula V=(KQ/L)((-ln(d))+(ln(L+d))) and its application when the distance d is significantly greater than the length L of a charged rod. Participants confirm that as d approaches infinity relative to L, the potential behaves similarly to that of a point charge with magnitude Q. The question posed seeks clarification on the interpretation of the potential in this limit and its comparison to various charge distributions, including an infinitely long wire and an electric dipole.

PREREQUISITES
  • Understanding of electric potential and charge distributions
  • Familiarity with logarithmic functions in physics
  • Knowledge of point charges and their behavior at large distances
  • Basic principles of electrostatics and electric fields
NEXT STEPS
  • Study the concept of electric potential for point charges
  • Learn about the behavior of electric fields from different charge distributions
  • Explore the implications of the limit d >> L in electrostatics
  • Investigate the mathematical derivation of electric potential from continuous charge distributions
USEFUL FOR

Students and educators in physics, particularly those focusing on electrostatics, as well as anyone interested in understanding electric potential in relation to various charge configurations.

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Homework Statement




V=(KQ/L)((-ln(d))+(ln(L+d)))

is this correct? if not could some one tell me where i went wrong.
thanks in advance.

there is a part 2 to it as follows:

Imagine that distance d is much greater than the length of the rod. Intuitively, the potential should be approximately the same as the potential at a distance d from which of the following charge distributions?

a) an infinitely long wire with total charge Q
b) an infinitely long wire with total charge Qd/L
c) a point charge of magnitude Q
d) an electric dipole with moment QL

V=(KQ/L)((-ln(d))+(ln(L+d)))

not sure what the question trying to interpret, if i am correct as d>>L the charge becomes like a point charge

Homework Equations



V=(KQ/L)((-ln(d))+(ln(L+d)))

The Attempt at a Solution



so my claim is that as we go far we see it as a point charge. but i am not sure about this could someone explain this?
 
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