In the discussion of motional emf (Sect. 7.1.3) I assumed that the wire loop (Fig. 7.10) has

Question:

In the discussion of motional emf (Sect. 7.1.3) I assumed that the wire loop (Fig. 7.10) has a resistance R; the current generated is then I = vBh/R. But what if the wire is made out of perfectly conducting material, so that R is zero? In that case the current is limited only by the back emf associated with the self-inductance L of the loop (which would ordinarily be negligible in comparison with I R). Show that in this r6gime the loop (mass m) executes simple harmonic motion, and find its frequency.