A vertical wall is in South north direction. a current carrying where is kept in the world such that to the west of the wall magnetic field due to wire is towards south then the wire where should be

Options

A. vertical and current in downwards
B. horizontal and current is toward West
C. vertical and current in upward
D. horizontal and current is towards east

Answer

To solve the problem, we need to determine the direction of the current in the wire based on the information given about the magnetic field it produces.

### Step-by-Step Solution:

1. **Identify the Orientation of the Wall and Wire:**
- The wall is oriented in the South-North direction.
- The wire is located to the West of the wall.

2. **Understand the Magnetic Field Direction:**
- It is given that the magnetic field due to the wire is directed towards the South when we are on the West side of the wall.

3. **Apply the Right-Hand Rule:**
- To find the direction of the current in the wire, we can use the right-hand rule for magnetic fields around a current-carrying conductor.
- According to the right-hand rule, if you point your thumb in the direction of the current, your fingers will curl in the direction of the magnetic field lines.

4. **Determine the Current Direction:**
- Since the magnetic field is directed towards the South, we need to position our right hand such that when we point our thumb (representing the current) in the direction of the current, the fingers curl towards the South.
- This configuration suggests that the current must be flowing upwards (away from the ground) in the wire.

5. **Conclusion:**
- Therefore, the wire should be positioned vertically with the current flowing upwards.

### Final Answer:
The wire should be placed vertically with the current flowing upwards.

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