Electric Potential and Second Charge

AI Thread Summary
The discussion revolves around calculating the value of a second charge based on the electric potential created by a positive point charge. The given parameters include a positive charge of 7.50×10^-9 C and distances from both charges, leading to an electric potential of 1.02 kV. The formula used for the calculation is q2 = r2 * (v - (k * q1 / r1)) / k. The calculated value for the second charge is -3.15 x 10^-9 C, but the homework system indicates it's incorrect, prompting confusion over potential rounding errors or unit misinterpretation. Ultimately, it is clarified that the correct unit is indeed Coulombs (C) rather than nanocoulombs (nC).
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Homework Statement


The electric potential at a position located a distance of 18.6 mm from a positive point charge of 7.50×10-9C and 10.9 mm from a second point charge is 1.02 kV. Calculate the value of the second charge.


Homework Equations


q2 = r2 * (v - (k * q1 / r1)) / k


The Attempt at a Solution


v = 1.02 kV = 1.02 x 10^3 V = 1020 V
q1 = 7.50 x 10^-9 C
r1 = 18.6 mm = 0.0186 m
r2 = 10.9 mm = 0.0109 m
k = 9 x 10^9 Nm^2/C^2

q2 = (.0109) * (1020 - (9E9*7.5E-9/.0186)) / 9E9
q2 = -3.15E-9 nC

I keep getting the same answer but the homework system says it's wrong!
 
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I get -3.16 10-9 C (not nC). Rounding off error ? Or is it the nC instead of the C ?
 
Wow. I feel like a total idiot. IT IS C instead of nC! I figured it couldn't be a unit error because the homework system usually notifies us of that.

Thanks so much!
 
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