Two point charges, Q1 = 3.1 C and Q2 = -2.0 C , are placed on the x axis. Suppos

Question

Two point charges, Q1 = 3.1 C and Q2 = -2.0 C , are placed on the x axis. Suppose that Q2 is placed at the origin, and Q1 is placed at the coordinate x1 = 6.0 cm

At what point(s) along the x axis is the electric field zero? Determine the x-coordinate(s) of the point(s).

At what point(s) along the x axis is the potential zero? Determine the x-coordinate(s) of the point(s).

Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas.

Explanation / Answer

Kq1/(6+x)^2 = kq2/x^2

3.1/(6+x)^2 = 2/x^2

3.1x^2 = 2(6+x)^2

3.1x^2 = 72 + 24 x + 2x^2

1.1x^2 -24x -72 = 0

x = -2.67 cm

x = 24.5 cm

part b )

kq1/|6+x| = kq2/|x|

3.1|x| = 2|6+x|

3.1|x| = |12+2x|

3.1x = 12 + 2x

x = 10.9 cm

-3.1x = 12 + 2x

x = -2.35 cm

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