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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 timedependent 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 $I_{2}(t)$ , then as a function of time (t > 0), the product $I_{1}(t)$ B(t)
Option: 1
increases with time

Option: 2
decreases with time

Option: 3
does not vary with time

Option: 4
passes through a maximum

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