Given: Bsolenoid = pw. NI/L L=0.090m N=46 turns Magnetic field vs. Current 15 e 3 o LINEAR O x 2 % x-range: 0.0 - 3.0 A * y=mx+b > 05 m: 0.6286 b: 0.003734 r:1 RMSE: 0.005547 E 0{ } 0 0.5 1.0 1.5 2.0 25 3.0 Current (A) 1. Consider the equation for the magnetic field inside a solenoid (from the introduction). What mathematical relationship do we expect to see between the current passed through the solenoid and the resulting magnetic field (linear, directly proportional, exponential, quadratic)? Give a brief explanation. 2. Inspect your graph of magnetic field vs. current. What is the relationship is demonstrated by your graph, between the current passed through the solenoid and the resulting magnetic field (linear, directly proportional, exponential, quadratic)? Give a brief description of the graph features you used to determine this. 3. Compare the equation for the magnetic field inside a solenoid to the linear fit equation for your graph of magnetic field vs. current. What does the slope of your linear fit represent for this graph? Your answer here will be in terms of multiple variables (not numerical). 4. Inspect your linear curve fit parameters on your graph of magnetic field vs. current. Record the numerical value of the slope of the linear fit, with units. 5. Convert the value of your slope so that it is in units of T/A. Show your work. 6. Record the length of your wire coil in meters (measured in PROCEDURE Step 11), here. 7. Use your results from Questions 3, 5, and 6 to determine the number of turns that should be contained in your coil, if the equation for the magnetic field in a coil is an accurate representation of our experiment today. 8. Record the number of turns of wire that you counted (PROCEDURE Step 12), here. 9. How close is your calculated value of N to your counted value of N? Are you within = 3 turns? Would you call this experiment a success? Or should we find a way to improve it