Point where the electric field is zero

[Aleksandre]

Homework Statement

Charges q₁= +3 nC and q₂=+8 nC have a separation distance of d= 12 cm. Find the point where the electric field is zero.

Homework Equations

E=kq/r²

The Attempt at a Solution

I approached this problem as follows:
1) I assume the point where it happens is between charges, on a straight line.
2) Due to nature of electric field vector it should be closer to smaller charge and field vectors should add up to zero e.i should be equal in magnitude.
3) Equation I came up with would be:
E1=E2

kq₁/(x)² = kq₂/(d-x)²

Coulumb's constants would cancel out and then I could solve for x. Is it correct approach?

Thanks in advance.

 

[TSny]

Is it correct approach?

Yes.

(Welcome to PF!)