Question

A positively charged test particle is placed midway between two fixed, identical positively charged source particles....

A positively charged test particle is placed midway between two fixed, identical positively charged source particles.

If the test particle is replaced by a negatively charged test particle, is it in a stable or unstable equilibrium at that location?

The test particle is in a stable equilibrium regardless of dimensionality.
The test particle is in a stable equilibrium if these particles are constrained to one dimension and in an unstable equilibrium if the particles can move in at least two dimensions.
The test particle is in a stable equilibrium if these particles are constrained to one or two dimensions and in an unstable equilibrium if the particles can move in three dimensions.
The test particle is in an unstable equilibrium regardless of dimensionality.

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