CBSEGrade 12PhysicsMoving Charges and Magnetism

How does the presence of a moving conductor affect the magnetic field strength?

A straight copper wire of length 2 m is moving with a constant velocity of 10 m/s in a direction perpendicular to a magnetic field of 0.5 T. What happens to the magnetic field strength when the wire is moving in the same direction as the magnetic field? In a different direction? Assume the wire's cross-sectional area is negligible.

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📌 CONCEPT: The presence of a moving conductor affects the magnetic field strength due to the production of a magnetic field by the moving charge carriers, known as electromagnetism.

📐 RULE / FORMULA: According to the Fleming's left-hand rule, the force exerted on a current-carrying conductor in a magnetic field is given by F = BIL sinθ, where F is the force, B is the magnetic field strength, I is the current, L is the length of the conductor, and θ is the angle between the magnetic field and the conductor. However, the magnetic field strength itself is not directly affected by the moving conductor.

💡 WORKED EXAMPLE: Given a straight copper wire of length 2 m moving with a constant velocity of 10 m/s in a direction perpendicular to a magnetic field of 0.5 T, the magnetic field strength remains unchanged. However, if the wire is moving in the same direction as the magnetic field, the magnetic field strength will still be the same as the wire's velocity and current do not affect the field strength; only the force exerted on the wire does.

⚠️ COMMON MISTAKE: Students often confuse the concept of magnetic field strength with the force exerted on a moving conductor in a magnetic field, leading to incorrect assumptions about the effect of the moving conductor on the magnetic field strength.

02 Nov 26