Electric potential midway between 2 charges

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SUMMARY

The discussion centers on calculating the electric potential midway between two charges of -12.0 nC and -21.0 nC, separated by 0.700 m. The user initially applied the formula V = kq / r incorrectly, leading to an incorrect total potential of -420 V. The correct approach involves using the distance from each charge to the midpoint, which is 0.35 m, resulting in a total potential of -847 V when calculated correctly.

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  • Knowledge of the constant k (Coulomb's constant) valued at 8.99 x 10^9 N m²/C²
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kbyws37
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Charges of −12.0 nC and −21.0 nC are separated by 0.700 m. What is the potential midway between the two charges?


I used the equation V = kq / r for each charge
and then added both V's. But I got it wrong. (the correct answer should be -847 V)
So...


V1 = (8.9x10^9)(-12 x 10^-9) / 0.7 = -152.6
V2 = (8.9x10^9)(-21 x 10^-9) / 0.7 = -267

V1 + V2 = -152.6 + (-267) = -420

What am i doing wrong?
 
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maybe just algebra, the distance you need to use is the 1/2 way point of 0.35 see if that helps.
 

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