An ideal electric point dipole is a theoretical construction involving two point electric charges e <0 and e '= −e placed at a distance d> 0 from each other. Let us now be the following process: We take the limit where e → ∞ and simultaneously d → 0 so that the product (d * e) remains finite. The result of this operation is an ideal point electric dipole. Based on this construction: a) First evaluate the electric potential Φ (x->) of a system involving two point charges e <0 and e '= −e placed at a distance d> 0 apart assuming that the magnitude of x-> is much greater than the distance d> 0. b) From the results of a), take the limit e → ∞, d → 0 so that (d * e) is finite c) From part b), evaluate the electric field E-> of this point electric dipole.
2) An ideal electric point dipole is a theoretical construction involving two point electric charges e <0 and e '= −e placed at a distance d> 0 from each other. Let us now be the following process: We take the limit where e → ∞ and simultaneously d → 0 so that the product (d * e) remains finite. The result of this operation is an ideal point electric dipole. Based on this construction:
a) First evaluate the electric potential Φ (x->) of a system involving two point charges e <0 and e '= −e placed at a distance d> 0 apart assuming that the magnitude of x-> is much greater than the distance d> 0.
b) From the results of a), take the limit e → ∞, d → 0 so that (d * e) is finite
c) From part b), evaluate the electric field E-> of this point electric dipole.
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