Question

FR #5 (30 pts): A 1000 turn coil (A = 0.33 m´) of length 0.15 m carries a current of 3.5 A through it. What is the magnitude of the magnetic field produced by the coil? If the solenoid were exposed to a changing magnetic field described as B(t) = 0.4 +0.02t? + 0.16t, calculate the function of induced potential and the potential at time t = 1.5 sec. This solenoid was removed from the above magnetic field and nested inside an identical length, 750 turn coil (A = 0.5 m²). It then receives a sinusoidal current: i(t) = 20 sin(25*t). Determine the potential function of the 750 turn coil as a result of mutual induction.

Answer 1

FR #5 (30 pts): A 1000 turn coil (A = 0.33 m´) of length 0.15 m carries a current of 3.5 A through it. What is the magnitude of the magnetic field produced by the coil? الى امل BEN, I =1000x4 17x10-?x 3.5xIT 2R Oris) = 0.15 => B = 0.092T 2R = 0.15 2 TR= B = No NI (magnetic B:00 1750) 20 sin (25t) inside solenoid) | ElE du (No 79000) 500 cosest) It ools · If the solenoid were exposed to a changing magnetic field described as B(t) = 0.4 +0.02t2 + 0.16t, calculate the function of induced potentialand the potential at time t = 1.5 sec. E= 3.14 cos (25 t) tooo4t + 0-16) E==Ndo ANA d (Blt)) =-1000X0:33*( 10 2t² dt dt &=-330(102 t² +0004 + +0:18) t=1.5 sec E= -963.6 v lela 963.6V This solenoid was removed from the above magnetic field and nested inside an identical length, 750 turn coil (A = 0.5 m²). It then receives a sinusoidal current: i(t) = 20 sin(25*t). Determine the potential function of the 750 turn coil as a result of mutual induction.