Question

A metal ring of radius a and mass m falls into a constant and uniform gravitational field, with the acceleration g, inside a magnetic field, in which the vertical component B_z depends on z. The plane of the ring remains horizontal and the resistance of the ring is R. If the inductance of the ring is negligible, prove that for a long fall, the ring's velocity becomes independent of z if (dB_z/dz) → b₁ for large |z|, where b₁ is a constant. Find the constant limiting velocity. Find the velocity at all times for the case B_z = b₀ + b₁z, where b₀ and b₁ are constants.

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