A solenoid (primary) with cross-sectional area, AP = 6.0 cm2, length LP = 10.0 cm and NP = 2000 turns is situated inside a second solenoid (secondary) with AS = 8.0 cm2 and NS = 6 turns. The time dependence of the current in the primary coil is iP(t) = (3.0 A/s2) t2 + 4.0 A. (Note: use the infinite length solenoid approximation.) a) Calculate the magnetic field in the primary solenoid at t = 0. (5 points)
b) Calculate the magnetic flux in the secondary coil at t = 0. (5 points)
c) Write the expression for the emf in the secondary coil as a function of time. (5 points)
d) Calculate the magnitude of the emf in the secondary coil at t = 0.20 s. (5 points)
e) Extra credit (5 points): Find the mutual inductance of this coil geometry.

Aray diagram for a refracted light day is shown. what does the dashed line represent

A23 kg log of wood begins from rest, 300 m up a sluice (a water track used to transport logs, think of it as an inclined plane with negligible friction) inclined at 20° to the horizontal. after it reaches the flat waterway at the bottom it collides elastically with a 100 kg block of wood initially at rest near the base of the incline. (a) how long does it take the 23 kg log to travel down the incline? (b) what is the speed of the 23 kg log at the bottom of the incline? (c) what are the velocities of both blocks of wood after the collision? (d) what is the total kinetic energy before the collision? (e) what is the kinetic energy of the 23 kg log after the collision? (f) what is the kinetic energy of the 100 kg block of wood after the collision? (g) what is the total kinetic energy after the collision? (h) compare the total initial and total final kinetic energies. is this consistent with what you would expect for elastic collisions? explain!

What are the three ways that an object can accelerate