I cannot figure out how to set this problem up: I have theequation for point cha

Question

I cannot figure out how to set this problem up: I have theequation for point charge but I am not sure if I should useCoulomb's Law..... "Two point charges are located on the x-axis. A charge of6.0nC is located at x= 0.0m and an unknown charge q is located atx=0.50m. No other charges are nearby. If the electric field is zeroat x= 1.0m, what is q?" I cannot figure out how to set this problem up: I have theequation for point charge but I am not sure if I should useCoulomb's Law..... "Two point charges are located on the x-axis. A charge of6.0nC is located at x= 0.0m and an unknown charge q is located atx=0.50m. No other charges are nearby. If the electric field is zeroat x= 1.0m, what is q?"

Explanation / Answer

Yes of course you are supposed to use Coulomb's law ! since the point charges are on the same side of the pointx=1.0 m, if one is positive the other should be negative so that theforce vectors are opposite in direction and net electric field atx=1.0 m is zero. So, 6 nC/[(1.0-0.0)^2] + q / [(1.0-0.50)^2] = 0 => q = -6*0.25 nC = -1.5 nC

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