How to locate Two spots where electric potential is zero

[crazuiee]

Homework Statement

A positive charge of +q1 is located 3.00m to the left of a negative charge -q2. the charges have different magnitudes.
a) on the line through the center of the charges, the net electric field is zero at a spot 1.00m to the right of the negative charge. Determine the relative magnitude of the charges (charge ratio q1/q2)
b) on this line there are two spots where the potential is zero. locate these two spots relative to the negative charge.

Homework Equations

Ue=kq1q2/r
V=Ue/q
V=kq/r

The Attempt at a Solution

for part a i got q1=+16 and q2=-1
I'm not sure how to find these zero potential spots. I know they're supposed to be near the smaller negative value but I just can't figure out how to calculate out exactly where.

 

[Doc Al]

for part a i got q1=+16 and q2=-1

q1 and q2 are magnitudes and thus positive. You found that q1/q2 = 16. Good!

I'm not sure how to find these zero potential spots. I know they're supposed to be near the smaller negative value but I just can't figure out how to calculate out exactly where.

Write an expression for the total potential as a function of distance from the negative charge. You'll find it helpful to divide the line into 3 regions and write separate expressions for each region.

 

[kerimek]

I would approach this problem by using the equations for electric potential and electric field. First, I would calculate the electric field at various points along the line passing through the two charges. This can be done using the formula E=kq/r^2, where k is the Coulomb's constant, q is the charge, and r is the distance from the charge.

Next, I would look for points where the electric field is zero. These points would be where the net electric field is zero, as stated in the problem. I would use the electric field equation to calculate the electric field at different distances from the negative charge, until I find a point where the net electric field is zero. This would be the first spot where the electric potential is zero.

To find the second spot where the electric potential is zero, I would use the equation V=Ue/q, where V is the electric potential, Ue is the electric potential energy, and q is the charge. I would calculate the electric potential at different distances from the negative charge until I find a point where the electric potential is zero. This would be the second spot where the electric potential is zero.

In summary, to locate the two spots where the electric potential is zero, I would use the equations for electric field and electric potential to calculate the values at different distances from the negative charge. By finding the points where the electric field and electric potential are both zero, I can locate the two spots where the electric potential is zero.