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

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The discussion revolves around determining the distance from charge Q1 to point P, where the electric field is zero, given two point charges, Q1 = -22 mμ C and Q2 = 51 mμ C, separated by 12 cm. A user mentions using a formula to calculate the distance but repeatedly arrives at an incorrect answer of 29. Another participant points out that the user's assumption of Q1 being half of Q2 is incorrect. The conversation highlights the importance of correctly applying the principles of electric fields and charge relationships in calculations. Accurate understanding of these concepts is crucial for solving the problem correctly.
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.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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