Rate of change of magnetic flux A long, straight current carrying solenoid creates a uniform magnetic field B = 12 mT inside itself when the current is I = 26 A Give your answer to at least three significance digits. a) Calculate the number of turns per unit length, n where the total number of turns is N1. V Turns per unit length, n. Give your answer to at least three significance digits. e)Calculate the total change in magnetic flux in Sz due to S, between the time t = Oko t = 10s Total change in magnetic flux Give your answer to at least three significance digits. Wb b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l= 32 cmand the diameter is d = 14 cmcalculate its self inductance L1. Self inductance, L, Give your answer to at least three significance digits. f) Calculate the mutually induced emf in Sz due to S- Mutually induced emf Give your answer to at least three significance digits- V Suppose we have a rectangular loop Sz made by a conducting material with Ng = 10 turnand length, a = 30 cmand width b = 28 cm Now we take another coil S, with self inductance Li and no. of turns Ni 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 = 6 mHnd the rate of change of current in the coil S, is 3 A/s g) Suppose the current in Si is now I= 2cos (0.0159t) Aalculate the rate of change of magnetic flux through each turn in Sz due to S1. and then evaluate it att = 10 Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function. c) Calculate the self induced emf in S. Rate of change in magnetic flux Give your answer to at least three significance digits Self induced emf Give your answer to at least three significance digits. V Calculate the mutually induced emf in Sz due to Si when t = 10s d) Calculate the rate of change of magnetic flux through each turn in Sz due to Sj. Mutually induced emf in Sa due to S Give your answer to at least three significance digits. Rate of change of magnetic flux