Find the x >> L limit of the potential of a finite uniformly charged rod and show that it coincides with a point charge formula. (Use any variable or symbol stated above along with the following as necessary: k and λ, the linear charge density of the rod.) V(x » L) * Why would you expect this result? O At great distances, the rod would look like two point charges of q = AL each. O At great distances, the rod would look like a point charge of q = AL. O The potential of a rod is independent of the distance from it. O At great distances, the rod would look infinitely long, and so would have the same potential as a point charge of q = AL.

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(a) Find the x >> L limit of the potential of a finite uniformly charged rod and show that it coincides with a point charge formula. (Use any variable or symbol stated above along with
the following as necessary: k and λ, the linear charge density of the rod.)
V(x » L) x
(b) Why would you expect this result?
O At great distances, the rod would look like two point charges of q = 2L each.
O At great distances, the rod would look like a point charge of q = XL.
O The potential of a rod is independent of the distance from it.
O At great distances, the rod would look infinitely long, and so would have the same potential as a point charge of q = 2L.
Transcribed Image Text:(a) Find the x >> L limit of the potential of a finite uniformly charged rod and show that it coincides with a point charge formula. (Use any variable or symbol stated above along with the following as necessary: k and λ, the linear charge density of the rod.) V(x » L) x (b) Why would you expect this result? O At great distances, the rod would look like two point charges of q = 2L each. O At great distances, the rod would look like a point charge of q = XL. O The potential of a rod is independent of the distance from it. O At great distances, the rod would look infinitely long, and so would have the same potential as a point charge of q = 2L.
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