Two circular coils mounted parallel to each other on the same axis carry steady currents. If an observer between the coils reports. that one coil is carrying a clockwise current `i_1` While the other is carrying a counter - clockwise current `i_2` then the two coils experience

Options

A. (a)a steady repulsive force
B. (b)zero force
C. (c)a repulsive force
D. (d)a steady attractive force

Answer

To solve the problem regarding the two circular coils carrying steady currents, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Direction of Currents**:
- We have two coils, Coil A and Coil B.
- Coil A carries a clockwise current \(i_1\).
- Coil B carries a counter-clockwise current \(i_2\).

2. **Determine the Magnetic Field Direction**:
- According to the right-hand thumb rule, if you curl the fingers of your right hand in the direction of the current, your thumb points in the direction of the magnetic field.
- For Coil A (clockwise current), the magnetic field inside the coil will point downwards (towards the observer).
- For Coil B (counter-clockwise current), the magnetic field inside the coil will also point downwards (towards the observer).

3. **Analyze the Interaction Between the Coils**:
- Since both coils produce magnetic fields that point in the same direction (downwards), they will interact with each other.
- The magnetic field produced by Coil A will exert a force on Coil B, and vice versa.

4. **Determine the Nature of the Force**:
- When two coils carry currents in opposite directions, they will experience an attractive force towards each other.
- This is because the magnetic field created by one coil interacts with the current in the other coil, leading to a force that pulls them together.

5. **Conclusion**:
- Therefore, the two coils experience a steady attractive force.

### Final Answer:
The two coils experience an attractive force.