A very long, tightly-wound solenoid has a circular cross section of radius r = 2.6 cm. The magnetic field outside the solenoid is negligible. Throughout the inside of the solenoid the magnetic field B is uniform, but varying with time t: B = [0.07 + 0.03t2] tesla. Surrounding the circular solenoid is a loop of N = 3 turns of wire in the shape of a rectangle 10 cm high by 16 cm wide. The total resistance of the 3-turn loop is 0.1 ohm. Required:
At t = 3.7 seconds, what is the magnitude of the current in the 3-turn loop? (Hint: remember that the magnetic field is negligible in the region outside the solenoid.)

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj