1. A 600-turn solenoid is 0.55m long and 4.2cm in diameter. Inside the solenoid, a small (1.1cmx1.4cm), single-turn rectangular loop is fixed in place with its face perpendicular to the long axis of the solenoid (i.e. the magnetic field lines run through the loop). The current is 1.0A.
a) Calculate the number of turns per meter of the solenoid.
b) Use Ampere's Law to find the magnetic field strength inside the solenoid.
c) Calculate the magnetic flux through the rectangular loop.
d) Calculate the mutual inductance between the solenoid and rectangular loop.