Electric Potential-finding unknown distance

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SUMMARY

The discussion focuses on calculating the unknown distance 'd' from a -1.5 x 10-9 C charge to a point on the x-axis where the electric potential is -1.8 V. The correct equation for electric potential, V = k [1.5 x 10-9 / (4.5 + x) + (-1.5 x 10-9 / x)], is established after initial algebraic errors were identified. The key challenge lies in solving for 'x' accurately to find the distance from the negative charge.

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Homework Statement



A 1.5 10-9 C charge is at the origin, and a -1.50 10-9 C charge is 4.5 m to the right on the positive x-axis. The electric potential is -1.8 V at a point on the x-axis that is a distance d to the right of the negative charge. Find d.

Homework Equations



V = k [sum] (q/r)

The Attempt at a Solution



-1.8V = k [(1.5 x 10-9 / 4.5 + x ) + (-1.5 x 10-9 / x )]

Maybe I'm doing the algebra incorrectly, but I continue to get the wrong answer although I think the set-up is correct.
 
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abspeers said:

The Attempt at a Solution



-1.8V = k [(1.5 x 10-9 / 4.5 + x ) + (-1.5 x 10-9 / x )]

Maybe I'm doing the algebra incorrectly, but I continue to get the wrong answer although I think the set-up is correct.

The equation is incorrect, it should be

-1.8V = k [1.5 x 10-9 / (4.5 + x ) + (-1.5 x 10-9 / x )]

Show how do you get x.

ehild
 

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