Does the electrical gradient always oppose the movement of charge?

Answer 1

It doesn’t always oppose it. It depends on the sign of the charge.

I’m assuming here that by electrical gradient you mean the direction of the electrical field, #vec epsilon#

In electrical and gravitational fields, in particular, it is customary to draw field lines in the direction in which a positive particle experiences a positive force; therefore, the field direction is opposite the direction in which negative charges will accelerate and tends to accelerate positive charges.

In conclusion, the field could be described as "uphill" for a -ve particle and "downhill" for a +ve particle, respectively, by following the arrows on the field lines as they are drawn.

Alright?

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Answer 2

Carson Alexander

No, the electrical gradient doesn't always oppose the movement of charge. It depends on the charge's sign.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.