Magnetic Field

Step 1: Magnetic Field Due to a Long Current-Carrying Wire
The magnetic field at a perpendicular distance from an infinitely long straight conductor carrying current is given by Ampere’s Law: where is the permeability of free space.
Step 2: Magnetic Fields at Point P Due to Both Wires
- The first wire (along the X-axis) carries current 8 A and contributes a magnetic field:
- The second wire (along the Y-axis) carries current 6 A and contributes a magnetic field: Step 3: Resultant Magnetic Field
Since the two magnetic fields are perpendicular to each other, the net magnetic field at P is: Substituting the values: Step 4: Conclusion
Thus, the correct answer is .

Step 1: Understanding the Right-Hand Thumb Rule
The direction of the magnetic field around a current-carrying conductor can be determined using the Right-Hand Thumb Rule. According to this rule: - If the thumb of the right hand points in the direction of current flow (East to West in this case), then the curled fingers represent the direction of the magnetic field.
Step 2: Applying the Rule Below the Conductor
- When current flows from east to west, using the Right-Hand Thumb Rule, the curled fingers point into the plane below the conductor.
- This means the magnetic field direction at a point below the conductor is towards South.
Step 3: Conclusion
Thus, the correct answer is South.