A coil carrying a heavy current and having large number of turns mounted in a N-S vertical plane and current flow in clockwise direction. A small magnetic needle at its center will have its north pole in

Options

A. East -north direction
B. West-north direction
C. East-south direction
D. West-south direction

Answer

To solve the problem, we need to determine the direction of the magnetic field produced by a coil carrying a current and how it affects a small magnetic needle placed at its center. Here's a step-by-step solution:

### Step 1: Understand the Setup
We have a coil that is mounted in a vertical plane oriented from North to South. The current flowing through the coil is in a clockwise direction when viewed from above.

### Step 2: Apply the Right-Hand Rule
To find the direction of the magnetic field produced by the coil, we can use the right-hand rule for circular currents. According to this rule, if you curl the fingers of your right hand in the direction of the current flow (clockwise in this case), your thumb will point in the direction of the magnetic field lines inside the coil.

### Step 3: Determine the Magnetic Field Direction
Since the current is flowing clockwise, we apply the right-hand rule:
- Curl your fingers in the direction of the current (clockwise).
- Your thumb will point downwards at the center of the coil.

### Step 4: Analyze the Magnetic Field at the Center
At the center of the coil, the magnetic field direction is directed from East to West. This is because, at the center of the coil, the magnetic field lines are concentrated and point towards the West when the current flows in a clockwise direction.

### Step 5: Position of the Magnetic Needle
A small magnetic needle will align itself with the magnetic field produced by the coil. Since the magnetic field at the center of the coil is directed from East to West, the north pole of the magnetic needle will point in the direction of the magnetic field.

### Step 6: Conclusion
Therefore, the north pole of the magnetic needle will point towards the West.

### Final Answer
The north pole of the magnetic needle at the center of the coil will be directed towards the West.