A 3.5 cm diameter circular coil with 29 turns of wire has resistance 1.6 \Omega. This coil is placed inside a solenoid, with coil and solenoid axes aligned. The solenoid has 3200 turns and is 23 cm long.
At what rate must the current in the solenoid be increased to induce a 1.1 mA current in the coil?