A coil of wire having 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 I1(t) starts flowing through the coil. If I2(t) is the current induced in the ring, and B(t) is the magnetic field at the axis of the coil due to I1(t) , then as a function of time ( t>0 ), the product I2(t)B(t)
(1) increases with time
(2) decreases with time
(3) does not vary with time
(4) passes through a maximum