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Can two equipotential and/or two lines of force touch one another? Explain, and discuss the analogy...

Can two equipotential and/or two lines of force touch one another? Explain, and discuss the analogy to topographic maps.

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Answer #1

No, equipotential lines cannot touch one another, because if they do, then they will just be one equipotential line.

For example, equipotential lines are places of the same elevation in a topographic map. Two lines do not meet in a map because if they meet, then you might as well just draw them as one line.

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Two lines of forces do not touch one another because they represent different points.

In a map, the lines of force is the gradient on each point, so each point has its own gradient. Thus, they don't touch (although they may appear to touch in maps if they are close to each other, it's not the way to interpret it).

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