3. The magnetic field between the coils is given by: B = 520µ0 I (1/x1 + 1/x2) where xi =Ri [4 + (d/Ri) 2 ] 3/2 with Ri their radius and d their separation. a) From the above result the magnetic field between the coils can be written as B = kI for some constant k that depends on the geometry of the coils. Using your values for R1, R2, and d, calculate k. Attempt to estimate the uncertainty on k. k = b) If you were able to determine a non-zero coil current to offset the earth’s magnetic field in part 2, use the above result to determine the component of the room magnetic field BE along the coil axis. How does your estimate for BE compare with the horizontal Earth field component in Santa Monica BE ≈ 0.245 gauss?

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?