Question

In: Physics

A negative charge is moved in the direction of an E⃗E→ field line. Which of the...

A negative charge is moved in the direction of an E⃗E→ field line. Which of the following statements are true? The system is the charge.

A negative charge is moved in the direction of an field line. Which of the following statements are true? The system is the charge.

The E⃗E→ field does positive work on the charge.
The E⃗E→ field does not do any work on the charge.
The E⃗E→ field does negative work on the charge.
The amount of work done on the charge cannot be determined without additional information.

Solutions

Expert Solution

Correct Option: The field does negative work on the charge.

Let the negative charge be Q=-|Q|

The force on negative charge Q in presence of electric field is

Due to the negative sign, the electric force is acting in opposite direction to the electric field.

If electric field is to the right, then electric force on a negative charge will be to the left.

It is also given that the negative charge is moved in the direction of electric field line. The displacement of negative charge is in the direction of electric field. If electric field is to the right, then displacement of the negative charge will also be to the right.

Electric force and displacement are in opposite directions. The work done by the electric field is

Since force and displacement are in opposite direction

The work done by the electric field is negative.


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