Can equipotential lines ever cross? What would it mean if there were two differe

Question

Can equipotential lines ever cross? What would it mean if there were two different equipotential lines that met at a single point in space?

Can electric field lines ever cross? What would it mean if there were two different electric field lines that met at a single point in space?

Why are electric field lines and equipotential lines always perpendicular to each other? A complete answer will probably discuss electric force, work and displacement.

Suppose that the electric field is zero everywhere in a certain region of space. Can the potential vary over this region? Is it necessarily true that V = 0 within this region? Be sure to address both questions in your response.

Explanation / Answer

The electric lines of force act perpendicular to the equipotential lines. As the electric field lines cant intersect(bcuz if they do so the there will be no unique direction of force at that point) therefore the equipotential also dont intersect.(actually they are not lines but planes)

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