asked 154k views
1 vote
True or False?

A negative charge moves from Point P1 to Point
P2. If the electric potential is lower at P2
than at P1, then the work done by the electric force is
positive.

asked
User Carene
by
8.4k points

2 Answers

4 votes

Answer:

The answer to this I would say is True.

Step-by-step explanation:

The work done by the electric force on a charge is given by the equation:

W = q(V2 - V1)

Where:

  • q = the charge
  • V2 = the electric potential at Point P2
  • V1 = the electric potential at Point P1

According to the question, V2 (the potential at P2) is lower than V1 (the potential at P1). Since the charge (q) is negative, this means that (V2 - V1) will be a positive number.

Plugging this into the work equation, we get:

W = -1 (V2 - V1)

Since (V2 - V1) is positive, this makes W positive as well.

Therefore, the statement is true - when the potential is lower at P2 than P1, and the charge is negative, the work done by the electric force will be positive. This is because the potential difference term (V2 - V1) in the work equation is positive, and the negative charge just makes the entire expression positive.

So in summary, when we use the actual work equation for electric force, W = q(V2 - V1), we can see that the statement in the question is true.

answered
User Tom Dufall
by
8.4k points
4 votes

Answer:

True

Step-by-step explanation:

If the electric potential is lower at P2 than at P1, then the work done by the electric force is positive.

answered
User Picklu
by
8.4k points