Where is the electric field zero between, or on either sideof, two point charges

Question

Where is the electric field zero between, or on either sideof, two point charges, -Q and +2Q, that are placed on a horizontalline, a distance d away from each other. Will there be E=0 on both sides of the configuration? Please do not just copy and paste the solution from thetextbook. I need an explanation. Where is the electric field zero between, or on either sideof, two point charges, -Q and +2Q, that are placed on a horizontalline, a distance d away from each other. Will there be E=0 on both sides of the configuration? Please do not just copy and paste the solution from thetextbook. I need an explanation.

Explanation / Answer

E = k Q [2 / x2 - 1 / (x + d)2] where 2Q is at the origin and - Q at a distance of -d from theorigin 2 / x2 = 1 / (x + d)2   if E = 0 x2 + 4 x d + 2 d2 = 0 x = (-2 ± 2) d x = (-2 + 2) d   lies between the twocharges x = (-2 - 2) d    lies to the left ofthe smaller charge The field to the right of the larger charge obviously cannotbe zero where 2Q is at the origin and - Q at a distance of -d from theorigin 2 / x2 = 1 / (x + d)2   if E = 0 x2 + 4 x d + 2 d2 = 0 x = (-2 ± 2) d x = (-2 + 2) d   lies between the twocharges x = (-2 - 2) d    lies to the left ofthe smaller charge The field to the right of the larger charge obviously cannotbe zero

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