. a circular solenoid has a radius of 0.050m, a total length of 0.40m (this is the length of the wound solenoid, not the wire's total length), and the wires have a thickness of 0.0020m. assume the solenoid is tightly wound, so there is no gap between the loops in the solenoid. [ 10 points ] a. how many total loops of wire are in the solenoid? explain or show how you got your answer. hint: it might be helpful to sketch what the tightly wound solenoid looks like. [ 4 points ] b. what is the magnitude of the magnetic field inside the solenoid if the current is 1.8a? [ 2 points ] c. if you unwrapped the solenoid, how long is the wire that makes the solenoid? explain or show how you got your answer. [4 points]