This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
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 2-2 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 ) 2-2 R ( a 2 d ) cosθ ] 1 / 2 The total potential is: V tot = V Q + V Q 2...
View Full Document
- Spring '08
- Trigonometry, point charge, Elementary geometry, Waves Electronics