Step 1: Understand the problem.
A conducting wire is moving towards the right in a magnetic field, and there is an induced current in the wire. We need to determine the direction of the magnetic field.
Step 2: Apply Flemingâs Right-Hand Rule.
Flemingâs Right-Hand Rule states that if the thumb, index, and middle fingers of the right hand are held mutually perpendicular to each other, then:
- The thumb represents the direction of motion of the conductor (velocity \( v \)).
- The index finger represents the direction of the magnetic field \( B \).
- The middle finger represents the direction of the induced current.
Here, the wire moves towards the right (\( v \) towards the right) and the current \( i \) is shown to go in the direction to the right. Applying the rule, the magnetic field must be perpendicular to the paper and directed downwards.
Step 3: Conclusion.
Therefore, the direction of the magnetic field \( B \) will be perpendicular to the plane of the paper and downwards.