Electromagnetic Damping Time Constant

Question

A circular wire loop of radius $r$, mass $m$, and resistance $R$ moves with velocity $v$ into a region containing a uniform magnetic field $B$ directed perpendicular to the plane of the loop. The induced current results in a retarding force that causes the loop to decelerate exponentially. Which of the following represents the time constant $	au$ for this deceleration?

Accepted Answer

$$	au = \dfrac{mR}{B^2 \pi^2 r^4}$$

Answer

$$	au = \dfrac{B^2 \pi r^2 R}{m}$$

Answer

$$	au = \dfrac{m}{B^2 \pi r^2 R}$$

Answer

$$	au = \dfrac{mR}{B \pi r^2}$$

Electromagnetic Damping Time Constant

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