A 2.0-mm diameter coil of 5 turns and resistance 0.5 is centred on the axis at the end of a solenoid of radius 1.0 cm, length 6.0 cm and 100 turns/cm. The current through the solenoid is increased from 0 to 10 A in 5.0 s. What is the value of the current in the small coil during this time? The coil is small enough that the magnetic field across it can be considered constant an equal to the value on axis.