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A problem I solved asks this:

So:

E = E

0 = E

E

kQ

Solving for x, the point at which these fields cancel out is x ≈ 2.75.

At the start of this problem I had mistakenly solved for the point at which the electric potential equals zero:

V = V

0 = V

V

kQ

Solving for x yields a clean x = 3.00.

Are my calculations correct, or should these points coincide? At a point in which the total electric field equals zero, shouldn't the total voltage be zero as well?

[Thread moved to homework forum by moderator]

**There is a point charge of 3q at the origin and another charge of -2q at x = 5. At what value of x relative to the origin is the electric field equal to zero?**So:

E = E

_{1}+ E_{2}0 = E

_{1}+ E_{2}E

_{1}= -E_{2}kQ

_{1}/x^{2}= -kQ_{2}/(5-x)^{2}Solving for x, the point at which these fields cancel out is x ≈ 2.75.

At the start of this problem I had mistakenly solved for the point at which the electric potential equals zero:

V = V

_{1}+ V_{2}0 = V

_{1}+ V_{2}V

_{1}= -V_{2}kQ

_{1}/x = -kQ_{2}/(5-x)Solving for x yields a clean x = 3.00.

Are my calculations correct, or should these points coincide? At a point in which the total electric field equals zero, shouldn't the total voltage be zero as well?

[Thread moved to homework forum by moderator]

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