I am struggling with physics 5C due to having a horrible physics professor who is hard to understand and read his handwriting. Although I've tried studying via Khan Academy, I am still struggling immensely with homework problems. I'm hoping someone can help walk me through step by step how to solve problems 8.1 and 8.2. This would be immensely appreciated, thank you ! Please write out on paper, if you can, thanks!

Problem 8.1 Light with electric field amplitude E; and linear polarization in the z direction is incident on a sequence of N ideal polarizing filters. The first filter's polarizing axis is tilted 90/N with respect to the z direction. Each subsequent filter is rotated another 90/N with respect to the preceding filter, so that final filter's polarizing axis is in the y direction. If N = 1, there is a single filter whose polarizing axis is along y, and the incoming z-polarized light is completely blocked. a) For N = 2, the first filter's axis is tilted at angle 45 and the second filter's axis is along the y direction. Find the amplitude E; of the transmitted light b) For N = 3, the first filter's axis is tilted at angle 30, the second filter's axis is tilted at angle 60, and the third filter's axis is along the y direction. Find the amplitude Ej5 of the transmitted light. c) For arbitrary N, write an expression for the transmitted amplitude Ey. Use a calculator to find Eioo0. Problem 8.2 I, L, Vo Vi V2 R, Ry L I, Vin a) Write an expression for R;/R; in terms of the labeled emfs and currents. b) The circuit is a simple model of a neuron's resting membrane potential. The emf V; = 70 mV represents the sodium-potassium pump, which drives a current while maintaining the resting potential. The emfs V; = 89 mV and V, = 70 mV represent the equilibrium potentials of potassium and sodium, respectively. The current I; represents the leakage of K ions out of the cell, and the current I, represents the leakage of Na into the cell. With every cycle of operation, the pump moves three Na* ions out of the cell and two K ions into to cell. Therefore, to maintain a steady state, I,/I; = 3/2. The resistors R; and R, represent the membrane's net leakage resistances for K and Na* ions, respectively. Because the resting potential is so much closer to potassium's equilibrium potential, we expect R; to be larger than R;. Plug in all of these quantities to find a value for Ry/R