1-a) Consider the following configuration of point charges: charge q at ~r1 = (a, 0, 0); charge −qat ~r2 = (−a, 0, 0); charge q at ~r3 = (0, a, 0); and finally charge −q at ~r4 = (0, −a, 0); so a total offour point charges. Determine the electrostatic potential V (assuming that V = 0 as |~r| → ∞) ata generic point on the z-axis.b) Determine the electrostatic energy U stored in this configuration of charges.

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Chapter7: Electric Potential
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1-a) Consider the following configuration of point charges: charge q at ~r1 = (a, 0, 0); charge −q
at ~r2 = (−a, 0, 0); charge q at ~r3 = (0, a, 0); and finally charge −q at ~r4 = (0, −a, 0); so a total of
four point charges. Determine the electrostatic potential V (assuming that V = 0 as |~r| → ∞) at
a generic point on the z-axis.
b) Determine the electrostatic energy U stored in this configuration of charges.

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