In the figure, a charged sphere of mass m and charge q starts sliding from rest on a vertical fixed circular track of radius R from the position shown. There exists a uniform and constant horizontal magnetic field of induction B. The maximum force exerted by the track on the sphere is:
Correct answer: C. Option C
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
Fₘ = qvB, and directed radially outward.∴ N − mg sin θ − qvB = mv²/R⇒ N = mv²/R + mg sin θ + qvBHence at θ = π/2⇒ Nₘₐₓ = 2mgR/R + mg + qB√(2gR)= 3mg + qB √(2gR).
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Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.
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