Homework Help: physics

Posted by Alyssa on Tuesday, January 15, 2013 at 10:22pm.

A point charge of +1 湣 is located at x =
−2 cm and a second point charge of −8 湣 is located at x = 6 cm.
Where should a third charge of +1 湣 be
placed so that the electric ﬁeld at x = 0 cm is
zero?

physics - drwls, Wednesday, January 16, 2013 at 11:30am
Call the position of the third charge x.
Write the expression for the total E field.
E = k*10^-6*10^4[1/2^2 +8/6^2 -1/(x)^2]
Set it equal to zero.
Then solve for x.
1/x^2 = 1/4 + 8/36 = 17/36
x =sqrt(36/17)= 1.46 cm

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