Question

An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value 11 2.1 A att = t1 = 15 s, remains constant at this value until t = t2 when it decreases linearly to a value 4 = -2.1 A at t = t4 = 31 s, passing through zero at t = t3 = 25.5 s. A conducting loop with sides W 22 cm and L 65 cm is fixed in the x-y plane at a distance d = 27 cm from the wire as shown. I1 |I(t) L W d X 1) What is the magnitude of the magnetic flux D through the loop at time t t1 = 15 s? T-m2 Submit 2) What is E1, the induced emf in the loop at time t = 7.5 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise. V Submit 3) What is E, the induced emf in the loop at time t = 17 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise. V Submit 4) What is the direction of the induced current in the loop at time t t3 = 25.5 seconds? Clockwise Counterclockwise There is no induced current at t t3 Submit Your submissions: 5) What is E4, the induced emf in the loop at time t 28.25 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise. Submit

Answer 1

Bay 2rt C dd o I w.dr 2TL dx Mo Iw dx 2 rt AnaLvonLL) 2TC J. Fux at tim tt, 15 sec o (2.1) x 0-22 x n 27+65 27 2し 1-13278 ×10-t T-m 2×10×0.462 x l.22595 ニ At t 7-S 2. Induced Emk- d dt ニ -Mow 2元 n(2t5) -2x 10x - 22 x 2.1 ニー 6-07552 × 10-t Votts. Cuarent is ceunter dockwise. dL o, So dt 3 Emt utducad Rt t 17 Sec Obecause which makes induced mt , o 4. Since is nugative a Cusrent decsuases wth time the induad current lews en clocknise diuctien en the Leop. E4--Mow 2TC en42 存)ニ-2x10 x0-22 x /-24 n 31-25-5 -2.1 31-25.5 dt 24: 0.2659 6x ID vees. Cockwise c unt