Two point charges lie along the y axis. A charge of q 1 = -13.0µC is at y = 8.0

Question

Two point charges lie along the y axis. A charge ofq1 = -13.0µC is at y = 8.0 m, anda charge of q2 = -8.0 µC is at y = -3.0 m. Locate the point (other than infinity) atwhich the total electric field is zero.
y =? Edit: Okay, I already knew how to do the problem. I looked atother forum posts for this question with different values. I had itsolved and got 2.01; it told me this was within 10% of the correctvalue. Can someone please tell me the correct answer? I don't knowwhat my source of error is. Two point charges lie along the y axis. A charge ofq1 = -13.0µC is at y = 8.0 m, anda charge of q2 = -8.0 µC is at y = -3.0 m. Locate the point (other than infinity) atwhich the total electric field is zero.
y =? Edit: Okay, I already knew how to do the problem. I looked atother forum posts for this question with different values. I had itsolved and got 2.01; it told me this was within 10% of the correctvalue. Can someone please tell me the correct answer? I don't knowwhat my source of error is.

Explanation / Answer

q1 = -13.0 C
y = 8.0 m charge  q2 = -8.0 C y '= -3.0 m. So, distance between two charges r = 8+3 = 11 m Let at a distance r ' from the q 1 the electric field iszero then electric field at r ' due to q 1 is E = K q 1 / r '2 where K = columb's constant = 8.99 * 10 9 N - m2 / C 2 electric field at r ' due to q 2 is E' = K q 2 / ( r - r ') 2 Given net electric field E " = E + E ' = ) susbtitue values weget answer i.e. r ' value where K = columb's constant = 8.99 * 10 9 N - m2 / C 2 electric field at r ' due to q 2 is E' = K q 2 / ( r - r ') 2 Given net electric field E " = E + E ' = ) susbtitue values weget answer i.e. r ' value where K = columb's constant = 8.99 * 10 9 N - m2 / C 2

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