How Far is Charge Q1 from Point P Where the Electric Field is Zero?

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SUMMARY

The discussion focuses on determining the distance from charge Q1 (-22 mμ C) to point P where the electric field is zero, given that charge Q2 (51 mμ C) is 12 cm away from Q1. The correct approach involves applying Coulomb's law and the principle of superposition to find the balance point of the electric fields created by both charges. A common mistake noted is the incorrect assumption that Q1 equals half of Q2, which leads to erroneous calculations. The correct distance calculation must account for the magnitudes of both charges and their separation.

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AyooNisto
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1.Two point charges, Q1 = -22 mμ C and Q2 = 51mμ C , are separated by a distance of 12 cm. The electric field at the point P is zero. How far is Q1 from P?...Sorry if my equations arent coming out right on the screen this is the first time I've posted on the forum, if you look at the thumbnail I've posted its the way I am doing the problem

2 k Q2
(x+d)^2

3. i keep getting an answer of 29 using the formula in the thumbnail
 

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In your working you have Q1 = Q2/2, which is not the case.
 

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