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Find the in-line equilibrium location with respect to two particles located on the z-axis, the first...

Find the in-line equilibrium location with respect to two particles located on the z-axis, the first being -80 nC at z = -12 km, and the second -(1/8) µC at +6 km. Is this location stable or is it metastable with respect to a positive test charge?

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Answer #1

Answer: equilibrium location is at z = -4 km

It is metastable with respect to a positive test charge. If it is displaced a little the negative charge will attract it and not able to restore it's equilibrium state, there is no any restoring force.

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