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Charge needed to give and electric potential of ZERO at the origin?!?
A charge of 24.6 microC is located at (4.49m, 6.08m) and a charge of -11.2 microC is located at (-4.43m, 6.74m). What charge must be located at (2.28m, -2.94m) if the electric potential is to be zero at the origin?
I know that it is a scalar quantity and that we should add v1 v2 and v3 but I am not sure how to visualize the problem or set it up correctly. I believe that I am having issues with my signs... Thanks for your help!
1 Answer
- Venkat RLv 68 years agoFavorite Answer
Electric Potential at a point due to different charges = k*Σ q(i) /r(i) ⇒
24.6 μC at (4.99,6.08) ⇒ 24.6 μC at r(1) = 7.558 m
-11.2 μC at (-4.43, 6.74) ⇒ -11.2 μC at r(2) = 8.066m
Q μC at ( 2.28, -2.94) ⇒ Q μC at r(3) = 3.720 m
THe requirement is : k* {24.6 / 7.558 + (-11.2) / 8.066 + Q / 3.72) = 0
This after solving gives Q = - 6.895 μC