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A coil of wire having finite inductance and resistance has a conducting ring placed coaxially within it. The coil is connected to a battery at time *t* = 0, so that a time-dependent current *I*_{1}(*t*) starts flowing through the coil. If *I*_{2}(*t*) is the current induced in the ring. and *B*(*t*) is the magnetic field at the axis of the coil due to *I*_{1}(*t*), then as a function of time (*t* > 0), the product *I*_{2} (*t*) *B*(*t*)

(1) Increases with time

(2) Decreases with time

(3) Does not vary with time

(4) Passes through a maximum