The nature of parallel and anti-parallel currents are

Options

A. parallel currents repel and antiparallel currents attract.
B. parallel currents attract and antiparallel currents repel.
C. both currents attract.
D. both currents repel.

Answer

To analyze the nature of parallel and anti-parallel currents, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Current Directions**:
- Define what parallel and anti-parallel currents are.
- Parallel currents flow in the same direction, while anti-parallel currents flow in opposite directions.

2. **Magnetic Field Direction**:
- Use the right-hand rule to determine the direction of the magnetic field created by each wire.
- For a wire carrying current, point your thumb in the direction of the current; your fingers will curl in the direction of the magnetic field.

3. **Force on the Wires**:
- The force acting on a current-carrying wire in a magnetic field can be calculated using the formula:
\[ \mathbf{F} = I \mathbf{L} \times \mathbf{B} \]
- Here, \( I \) is the current, \( \mathbf{L} \) is the length vector of the wire in the direction of the current, and \( \mathbf{B} \) is the magnetic field.

4. **Analyzing Parallel Currents**:
- For two wires carrying parallel currents, apply the right-hand rule to find the direction of the forces acting on each wire.
- Since both wires create magnetic fields that point in the same direction, the forces on each wire will be attractive.

5. **Analyzing Anti-Parallel Currents**:
- For two wires carrying anti-parallel currents, again use the right-hand rule.
- The magnetic fields created by each wire will point in opposite directions, leading to repulsive forces between the two wires.

6. **Conclusion**:
- Summarize the findings: Parallel currents attract each other, while anti-parallel currents repel each other.

### Final Statement:
Thus, the nature of parallel and anti-parallel currents is that parallel currents attract each other and anti-parallel currents repel each other.

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