At what point is Electric Potential zero

[Lizi]

1. The problem statement
Two charges of 3μC and -2μC are placed 2cm apart. At what point along their connecting line is electric potential zero?

Homework Equations

Electric potential superposition Φ=Φ1-Φ2 since q2 is negative
Φ=kq/r^2

The Attempt at a Solution

Let’s say the charges are on the x axis. Their coordinates would be x1 and x1+2
The coordinate of the point we’re looking for is x
so kq1/(x-x1) - kq2/(x-x1-2) = 0
3/(x-x1) = 2/(x-x1-2)
x-x1=6
So the point is 6cm away from q1, but the answer says 0.8cm away from q2 and I don’t get it

 

[kuruman]

Make yourself a drawing. Call x the distance from the 3 μC charge to point P you are looking for. What is the distance from the -2 μC to point P? Is point P in between the two charges, to the left of the distribution or to the right of the distribution? Also, please use parentheses in your algebraic expressions to group together quantities that belong together.

 

[Lizi]

Make yourself a drawing. Call x the distance from the 3 μC charge to point P you are looking for. What is the distance from the -2 μC to point P? Is point P in between the two charges, to the left of the distribution or to the right of the distribution? Also, please use parentheses in your algebraic expressions to group together quantities that belong together.

Got the answer. Thank you.