In lecture #2, time 11:20 Proff. Lewin wants us to calculate when will the field be zero on the line passing through two charges +3 and -1 respectively. I calculated and the answer was that point is at distance d(3+3^.5)/2 OR d(3-3^.5)/2 from the +3 charge, and d is the distance between the two charges. I got two results cause I was solving a quadratic equation, but the second result is clearly wrong because it places the zero field point between the two charges. Can anyone check my solution?

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In lecture #2, time 11:20 Proff. Lewin wants us to calculate when will the field be zero on the line passing through two charges +3 and -1 respectively. I calculated and the answer was that point is at distance d(3+3^.5)/2 OR d(3-3^.5)/2 from the +3 charge, and d is the distance between the two charges. I got two results cause I was solving a quadratic equation, but the second result is clearly wrong because it places the zero field point between the two charges. Can anyone check my solution?

MIT 8.02 Electricity and Magnetism, Spring 2002
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I did a quick check, your first answer is that the point is 1,37d apart from (-1) charge and 2,37d apart from (+3) charge, so if E is zero there, by superposition, 3/(2.37^2)=1/(1.37^2) which is quite the case. So, it seems to be ok!
Thanks

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