The current I through a long solenoid with n turns per meter and radius 0.30 m is changing with time as given by I = sin(120t). The magnetic field inside a solenoid is given by B = nμ0I, where μ0 is the free space permeability μ0 = 1.26 × 10^−6 H/m.
What is the magnetic flux through a single coil at a time of t = 1.1 s at distance r = 0.22 m from the center of the solenoid if there are n = 119 turns/m?
a) Start by determining the flux through a Gaussian loop of radius r = 0.22 m centered in the middle of the solenoid.
b) Next, determine the rate of change of the magnetic flux with time.
