Question

19) 17 Points) A rectangular conducting loop with an area of 0.32 m2 is initially at rest as shown in the figure. Half of the loop is in the external magnetic field of 0.040 T, directed into the page. Later, the loop is pulled to the right at a constant rate such that the loop leaves the field after 0.30 s. a) What is the magnetic flux through the loop in its initial position? b) What is the induced voltage (or emf) in the loop as it moves to the right? I A B COSO (.040) If Ii - 30 = 1.33 x 10v c) If the loop has a resistance of 0.060 92, what is the magnitude of the induced current in the loop as it moves to the right? d) As the loop moves to the right, how would you describe the current in the loop? (Circle yo swer ckwise Counter-Clockwise Zero No Current

Answer 1

Loiven Area of to bly any time to of loop A.0.32 m2 alb where e length bheedth Ir . Magnetic field B ooUOT loop Pulled out from field in Time at 0.30 See and on this time uniformly moving loop Position of loopal travel distance % so els speed is u=% e t mis 0.30 Magnetic flux through lock in initial Position to = B Acoso where o=0 or 0-180" so tatool 196= BA where A'= Ares inside Colo= 11 magnetic field = (0.040)(0:32 -032 m2 = 0.0064 weber 1 $B - 6 4X103 weber (6) Let any time't distance travel by look is a such that x = ut = x= lt 0.60 So Effective Ares of loop present inside magnetic field At = b ( 1 - 2 ) At = 3 (1 - 1) So At any time t' teux passing through look = BĄ PE = B b ( 1 - lt) as megnitude of induced Emf Er- = (180 1 0 or (2nd Method) E= - B6(0-) As loop move uniformly IE-AP-Of-$1 E= Bbl 18 who 16 = 0.32mL) -it Fj- to P = 6 4 x lo all 0.60 L 0:30 Pf 0.0211 0.60 P2 = 6 uxlo and Tel:(0.040) (0.32) E &=-(0-6 4X10 at = 0.30 =8.1X10²r E = 91 x 10 V TE=2.1x10²7

(c) Resistance of loop = 0.060r induced current in loop 2= & = 9.1x102 0.060 ¿= 358102 12=0.35A @ As loop more right Jux passing through leep decreases with time So according to long's low Direction of culte induced cunent be must be in that direction that field produce by loop forfreates is in some direction as External field and according to Right hand thumb curling kule direction, of current mut must be clockwise a magnetic field of induce A o V i (induce curre currect extfield