pls answer both questions

Inductance & RL Circuits Name: Ampere's Law: 5 B . ds = Hol Magnetic Flux: B = J B . dA Names of Group Members Inductance: L = NOB (Only write the names of those present): Work or explanation in words is necessary to receive full points. 1. A toroid with a rectangular cross-section with an inner and outer radius of R, and R2, and a height of h as shown in the figure. The toroid has N tightly-wind turns and a + dr current of I going through the coil such that it produces a magnetic field going in the counter-clockwise direction from above da (also shown in the figure). a. Using Ampere's Law to find the magnitude of the magnetic field inside of the toroid. (Hint: A rectangular toroid can be treated similarly to a normal toroid). b. Find the magnetic flux through one of the square loops. Recall that J = dr = Ln(r) c. Find the inductance L of the rectangular toroid. 2. The switch in the circuit shown in the figure has been open for a long time when it is closed by time t = 0. Let L = 50 mH, R = 20 kf, and let the AV = 40 V. Find the following: a. Current through the battery, Ibat, at t = 0. TL = 201 b. Find bat at t = 0. 1 (t ) = ( 1 - e 71) c. Find Ibat at t = 3.0 us. d. Find -bat at t = 3.0 us. I (t) = he T e. Find Ibat at t = 3.0 s L at f. Find bat at t = 3.0 s. AV - SR R