Question

Experiment 6: Magnetic induction To investigate the magnetic induction voltage on a coil placed inside a long cylindrical solenoid as a function of frequency and magnitude of the magnetic field, an experimental set-up is designed as in Figure. Here, L = 2m and N50 are the length and number of turns of the solenoid; and N2-100 and A=25cm2 are number of turns and cross- sectional area of the coil. TE an alternating current I(t)=losin(20ft) of frequency f=1kHz is applied to the solenoid calculate the value of the induced voltage on the coil in intervals of one period. (Take lo=50 mA)

Answer 1

coil (Area A2) solenoid. 1 114) Magnetic field in solenoid Mo W ICH) co L B = Mon, Io Sin (21ft). L Magnetic flux passing through Coil (from Ajingleturn) d=B Az induced voltage on the coil (according to faraday's law) = Na do म L 1 ET 1 El = N₂ A₂ Mon, TO X2Tlf cos (21 ft) 100x 25x164x47x10 Sox Soxlox2tixlo cooleft) 2:47 X163 cos (20001 t) E - 2 E = Eary for 1 cycle =0 2.47X163 v 2:47 X16? Emax = Erms 1.7481034 = E