If current through a circular coil flows in clockwise direction, then the direction of magnetic field at the centre of the circular coil is………………to the plane of the coil, directed……………. .

Options

A. In X-direction
B. In Y-direction
C. Upward and perpendicular to the X-Y plane
D. Downward and perpendicular to the X-Y plane.

Answer

To determine the direction of the magnetic field at the center of a circular coil carrying current in a clockwise direction, we can use the right-hand rule.

### Step-by-Step Solution:

1. **Identify the Current Direction**:
- The current flows in a clockwise direction when viewed from above the coil.

2. **Apply the Right-Hand Rule**:
- To use the right-hand rule, point your thumb in the direction of the current flow. Since the current is flowing clockwise, your fingers will curl in the direction of the current.

3. **Determine the Magnetic Field Direction**:
- According to the right-hand rule, the direction your thumb points (when your fingers curl in the direction of the current) indicates the direction of the magnetic field. In this case, your thumb will point downwards, indicating that the magnetic field at the center of the coil is directed downwards.

4. **Conclusion**:
- Therefore, the direction of the magnetic field at the center of the circular coil is **perpendicular to the plane of the coil, directed downwards**.

### Final Answer:
The direction of the magnetic field at the center of the circular coil is **perpendicular to the plane of the coil, directed downwards**.

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