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 I2 (t) B(t) [IIT-JEE (Screening) 2000]

A coil of wire having finite inductance and resistance has a conductin

1.	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 I2 (t) B(t) [IIT-JEE (Screening) 2000]
A.	Increases with time
B.	Decreases with time
C.	Does not vary with time
D.	Passes through a maximum
Answer» E.