Induction is used in surgical cauterization tools to heat a metal tip which is then used to seal tissue during surgery. Assume that such a device consists of a "heater coil" which is a solenoid and in the center of the solenoid there is a separate smaller coil of wire called the "cauterization coil". The axis of the two coils are parallel to each other as shown. (a) What is the inductance of the heater coil? (b) Find the magnetic field produced by the heater coil when the current through it is 15.5 A. (c) If the current in the heater coil drops from 15.0 amps to 0 amps in 5.0E-4 s, calculate the emf produced in the cauterization coil. Solenoid/ Heater coil R cauterization coil Solenoid/Heater Coil N = 800 R=0.005 m L = 0.07 m Cauterization Coil N = 70 R=0.002 m L = 0.01 m