What is the electric field magnitude at points where electric potential is zero?

AI Thread Summary
The discussion focuses on determining the electric field magnitude at points where electric potential is zero, given two point charges: -14.3 nC and +24.9 nC, separated by 17.4 cm. The key equations used are V = kq/r for electric potential and E = kq/r^2 for electric field. The initial approach incorrectly equated the potentials from both charges, leading to a negative value for distance. The correct method involves summing the potentials from both charges to zero, resulting in two valid distance values. The participant successfully resolved the issue, confirming the need for a proper equation setup to find both positive and negative distances.
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Homework Statement



A -14.3 nC point charge and a +24.9 nC point charge are 17.4 cm apart on the x-axis. What is the magnitude of the electric field at the two points on the x-axis where the electric potential is zero?

Homework Equations



V = kq/r
E = kq/r^2

The Attempt at a Solution



Since the potential = 0,

q1 = -14.3 nC, q2 = 24.9 nC

kq1/(r+0.174) = kq2/r

But this gives me one negative value for r, whereas I need two values.
 
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Electric potential is a scalar.
 
since net potential is zero then

Potential due to q1 + potential due to q2=0

means equation is

kq1/(r+0.174) + kq2/r = 0 ; {not kq1/(r+0.174) = kq2/r}this will give two values of r one negative and one positive
 
I figured it out, thank you!
 
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