Question

Three charges lie along the x-axis. One positive charge, q1 = 25 uC is at x = 0.25 m. Another charge, q2 = -5.0 uC, is located at the origin. A third charge, q3 = -35 uC, is placed so that q2 is in electrostatic equilibrium with q1 and q3. How large must the electrostatic force between q2 and q3 be to balance the force between q1 and q2?

Answer #1

Force between two charge is given by Coulomb's law...

where *k* = 8.9875×10^{9} N m^{2}
C^{?2}

Force between charge 1 and charge 2 is

Force between q2 and q3 is

Since F12 and F23 has to be equal for electrostatic equilibrium.

**So the third charge has to be placed at x = +0.2958
m**

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