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A circular loop is kept in that vertical...

A circular loop is kept in that vertical plane which contains the north- south direction. It carries a current that is towards north at the topmost point. Let A be a point on the axis of the circle to the east of it and B a point on this axis to the west of it. The magnetic field due to the loop.

A

is towards east at A and towards west at B

B

is towards west at A and towards east at B

C

is towards east at both A and B

D

is towards west at both A and B.

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The correct Answer is:
To solve the problem, we will analyze the magnetic field produced by a circular loop carrying a current in a vertical plane. The loop is oriented such that its topmost point carries current towards the north. We need to determine the direction of the magnetic field at two points: point A (to the east of the loop) and point B (to the west of the loop). ### Step-by-Step Solution: 1. **Understand the Orientation of the Loop:** - The circular loop is placed in a vertical plane aligned with the north-south direction. The topmost point of the loop has current flowing towards the north. 2. **Determine the Direction of Current:** - Since the current at the topmost point flows north, we can visualize the current flowing in a clockwise direction when viewed from above. 3. **Identify the Magnetic Poles:** - According to the right-hand rule, if the current is flowing clockwise, the side of the loop where the current enters (the bottom side) behaves like the north pole, and the side where the current exits (the top side) behaves like the south pole. 4. **Analyze the Magnetic Field at Point A (East of the Loop):** - At point A, which is to the east of the loop, the magnetic field lines will emerge from the north pole of the loop and curve around to enter the south pole. Therefore, at point A, the magnetic field direction will be towards the west. 5. **Analyze the Magnetic Field at Point B (West of the Loop):** - Similarly, at point B, which is to the west of the loop, the magnetic field will also be directed towards the west. The reasoning is the same; the magnetic field lines will still be directed from the north pole to the south pole. 6. **Conclusion:** - The magnetic field at both points A and B is directed towards the west. ### Final Answer: The magnetic field due to the loop at both points A and B is directed towards the west.
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