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Unformatted text preview: a d Q and d = a 2 d To solve for the total voltage for any arbitrary point P, we can add the contributions of the potential from each point charge. For the original point charge, the potential is: V Q = Q 4 π± R Q where, by the law of cosines, R Q = [ R 2 + d 22 Rdcosθ ] 1 / 2 1 and θ is the angle between the line from the origin to the charge and the vector describing the observation point. For the image charge, the potential is: V Q = Q 4 π± R Q where R Q = [ R 2 + ( a 2 d ) 22 R ( a 2 d ) cosθ ] 1 / 2 The total potential is: V tot = V Q + V Q 2...
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 Spring '08
 Joshi
 Trigonometry, point charge, Elementary geometry, Waves Electronics

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