Question

Prome Along straight wire carries a current lo to the left as she n the picture below. The closest side of leon with side s a distance a from the wire. All parts of the in the same p lace w hammad the loop, due to the current in the long wire? (10 points) Problem 3a: If the current in the long wire in Problem 2 follows the formula (0) = loe/. what is the induced em in the loop and what is the sense of the direction of the induced current (clockwise or counterclockwise)? (5 points) Problem 3b: If the current in the long wire in Problem 2 stays constant, but the loop moves directly toward the wire with a constant velocity to, what is the induced emf in the loop and what is the sense of the direction of the induced current (clockwise or counterclockwise)? Solve this for the position shown in the picture. (5 points)

Answer 1

given system: 3 2 1- FH given current variable Ilf) :- Ilt) = Joe-tle calculating induced auf! (E) - Es-dd where &- flun dt calculatiy B uring da Boda B is magnetic field produced by current carying wire. Ampere's low! Bidla Mo I Jodl= a distance from loop to square B. (a) = Mo Io et to side 1. В. М, 1, e-eft a 02 Boda - Jda = 1² a Mo Io en the 12 a

contribute to emp bcz they perpendicular side 264 does not to the cument :- for side 3: B. d = Mol Ideaard B Card) - MOI B. Mo Io e t/2 & Boda a att Mo Joe the ez latda total flux d. 8, +63 da Mo Io e th 2 Mo Ie tl2 l² a Cate po hole the le? Itxt) ca atd, tiz ci at - More ha 74? (2011) (-+) e the (al (atl) = Mo Il? (cat.) Elz reth whits (a)(atl) - as cup is the and curent in decreasily exponentially the square will induce charge to support, the refor current induced will be "clockwise".

- 3b. if current stays constant at "I" and loop move towards "I Enduced and would be: este -B. de Bod. de BAV - we moving velocity of square loof. B from part 3a :- Mo I + Mo I (due to 01③) (a) (atl) - sides B: 1. lio I (Qard) (a) (at) Ea - Mo I (latl) in units. Calcato) a will "counter clockwise" And as induced current auf is ove. -