An agent is moving a positively charged body towards another fixed positive charge. The work done by the agent is

Options

A. positive
B. negative
C. zero
D. may be positive or negative

Answer

To solve the question regarding the work done by an agent moving a positively charged body towards another fixed positive charge, we can follow these steps:

### Step 1: Understand the Forces Involved
When a positively charged body is moved towards another fixed positive charge, there are two forces to consider:
- The electrostatic repulsive force between the two positive charges.
- The force exerted by the agent to move the charge.

### Step 2: Direction of Forces and Displacement
- The electrostatic force between the two positive charges is repulsive, meaning it acts in the opposite direction of the movement.
- The agent is applying a force to move the charge towards the fixed positive charge. This force is in the same direction as the displacement of the charge.

### Step 3: Work Done by the Agent
The work done (W) by a force is given by the formula:
\[ W = F \cdot d \cdot \cos(\theta) \]
where:
- \( F \) is the force applied by the agent,
- \( d \) is the displacement,
- \( \theta \) is the angle between the force and the displacement.

In this case:
- The force exerted by the agent (F) and the displacement (d) are in the same direction, so \( \theta = 0^\circ \).
- Therefore, \( \cos(0^\circ) = 1 \).

### Step 4: Conclusion on Work Done
Since both the force applied by the agent and the displacement are in the same direction, the work done by the agent is positive:
\[ W = F \cdot d \cdot 1 = F \cdot d \]
Thus, the work done by the agent is positive.

### Final Answer
The work done by the agent is **positive**.

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