Question

If a positive charge moves opposite to the direction of the electric field, the field does _______ work on charge and potential energy ________.

पर्याय

• positive, increases

• negative, decreases

• positive, decreases

• negative, increases

Answer 1

If a positive charge moves opposite to the direction of the electric field, the field does negative work on charge and potential energy increases.

Explanation:

A positive charge experiences a force in the direction of the field. As they are related by `vec"F" = "q"vec"E"`

If charge moves opposite to field thus force and displacement will be in opposite directions, so work done W = `int_"A"^"B" vec"F" * vec"dr"`  between any two points A and B will be negative.

The charge's potential energy rises as an external source is required to perform work on it in the opposite direction as the field, and the work is stored in the charge as potential energy.