A long, straight current carrying solenoid creates a uniform magnetic field B = 20 mT inside itself when the current is I = 15 A. a) Calculate the number of turns per unit length, n, where the total number of turns is N1. Turns per unit length, n Give your answer to at least three significance digits. b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l = 66 cm and the diameter is d = 3 cm, calculate its self inductance L1. Self inductance, L1 Give your answer to at least three significance digits. F Suppose we have a rectangular loop Sz made by a conducting material with N2 = 70 turns and length, a = 10 cm and width b = 27 cm. Now we take another coil Si with self inductance Li and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 9 mH and the rate of change of current in the coil S, is 14 A/s, c) Calculate the self induced emf in S1. Self induced emf Give your answer to at least three significance digits. d) Calculate the rate of change of magnetic flux through each turn in S, due to S. Rate of change of magnetic flux Give your answer to at least three significance digits. V e) Calculate the total change in magnetic flux in Sz due to S, between the time t = Os to t= 10s, Total change in magnetic flux Give your answer to at least three significance digits. Wb f) Calculate the mutually induced emf in S2 due to S1. Mutually induced emf Give your answer to at least three significance digits. g) Suppose the current in Si is now I = 3cos (0.0159t) A. Calculate the rate of change of magnetic flux through each turn in S2 due to S1, and then evaluate it at t = 15 s. Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function. Rate of change in magnetic flux Give your answer to at least three significance digits. V

A long, straight current carrying solenoid creates a uniform magnetic field B = 20 mT inside itself when the current is I = 15 A. a) Calculate the number of turns per unit length, n, where the total number of turns is N1. Turns per unit length, n Give your answer to at least three significance digits. b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l = 66 cm and the diameter is d = 3 cm, calculate its self inductance L1. Self inductance, L1 Give your answer to at least three significance digits. F Suppose we have a rectangular loop Sz made by a conducting material with N2 = 70 turns and length, a = 10 cm and width b = 27 cm. Now we take another coil Si with self inductance Li and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 9 mH and the rate of change of current in the coil S, is 14 A/s, c) Calculate the self induced emf in S1. Self induced emf Give your answer to at least three significance digits. d) Calculate the rate of change of magnetic flux through each turn in S, due to S. Rate of change of magnetic flux Give your answer to at least three significance digits. V e) Calculate the total change in magnetic flux in Sz due to S, between the time t = Os to t= 10s, Total change in magnetic flux Give your answer to at least three significance digits. Wb f) Calculate the mutually induced emf in S2 due to S1. Mutually induced emf Give your answer to at least three significance digits. g) Suppose the current in Si is now I = 3cos (0.0159t) A. Calculate the rate of change of magnetic flux through each turn in S2 due to S1, and then evaluate it at t = 15 s. Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function. Rate of change in magnetic flux Give your answer to at least three significance digits. V