SPH4U Magneti et Nae: Solution QUESION 1 [4 Mak] hi and the following two quetion petain to the diaga below howing two cuent-caying wie. wo cuent ae flowing in the ae diection (out of the page) a hown. What i the agnitude of agnetic field at wie #1 due to the cuent in wie #? 0 I B d 7 4 10 0.1 0.5 4 10 8 QUESION [ Mak] What i the diection of agnetic foce acting on wie #1? (e) ight QUESION 3 [1 Mak] If the cuent flowing though both wie double to 0. each, how would the agnitude of agnetic foce acting on wie #1 change? (b)it will inceae by a facto of fou QUESION 4 [4 Mak] hi and the next quetion petain to the diaga below. chaged paticle of a = 0.001 kg ente a egion of contant agnetic field (10, out of the page) and exit afte following a tajectoy a hown. It location in the hoizontal diection i diplaced by d = 0. ete when it exit copaed to it location upon enty. he peed of the paticle befoe it enteed the egion of contant agnetic field i 100 /. What i the value of the chage? v q B 100 0.001kg 0.1C 10 0.1
QUESION 5 [1 Mak] What i the peed of the paticle afte it exit the egion of contant agnetic field? 100 k/ QUESION 6 [4 Mak] long wie caie cuent (I = 0.5 a hown). n electon i oving at the peed of 000 / at a ditance 10 c fo the cuent caying wie, aking an angle of 45 elative to the wie. he agnitude of the electon' chage i q =1.6 10-19 C and it a i 9.1 10-31 kg. What i the agnitude of the agnetic foce on the electon? B i pependicula to v theefoe 90 0 I B d 0.1 7 4 10 0.5 1.010 6 qvbin 19 1.6 10 C000 1.0 10 6 in 90 3.10 N QUESION 7 [1 Mak] hi and the next quetion petain to the following ituation. chaged paticle, q, i oving in a unifo agnetic field and tavel in a cicle of adiu R, a hown. What i the ign of q? (b) negative QUESION 8 [4 Mak] What i the a of q? a v qvb qb v 6 3.0 10 C 1.5 3.010.510 1 5.510 kg 4
QUESION 9 [4 Mak] hi and the next quetion petain to the following ituation. poton with chage q = +1.6 10-19 C and a = 1.67 10-7 kg i initially taveling hoizontally in a agnetic field with velocity v = 800 /, a hown below. he poton expeience a downwad acceleation due to gavity of g = 9.8 /. If the agnetic field wee zeo, the poton would follow the downwad, paabolic tajectoy hown in the dahed line. How lage a agnetic field would have to be applied to foce the poton to ove in a taight line? 1.67 10 kg 9.8 1.6 10 C 800 B 7 19 g g qvb B 1.710 10 QUESION 10 [1 Mak] Which way would the field have to point? Into the page QUESION 11 [1 Mak] hi and the next quetion petain to followingt: You ae tying to ake iotopically pue Uaniu 35 to ell on the black aket. You have a ixtue of U 35 and U 38 which you ae tying to epaate by ionizing it and paing it though a egion with unifo 1.5 agnetic field, afte which the ion tike a ceen. he ae of the two iotope ae M38 = 3.95 10-5 kg and M35 = 3.90 10-5 kg. he ion ae all ingly ionized o they have chage q 35 = q 38 = +1.6 10-19 C. ll ion have the ae velocity, a hown, of v = 100 /. he agnetic field i into the page. Which of the two iotope tike highe on the ceen? U 38 QUESION 1 (Had) [6 Mak] How lage a B field would be equied to epaate the two iotope by 1 on the ceen? (Note that the ion tavel though eicicula path befoe tiking the ceen o that the ditance fo entance to thei ipact point on the ceen ae twice the adii of thei tajectoie.) Since v i the ae, note d=1 theefoe =.5 q1 B q B 1 1 1 0.0005 3.9510 3.910 0.039 5 5 v B q 5 3.910 100 19 1.6 10 0.039 6.510 3
QUESION 13 [ Mak] hi and the next quetion petain to the following ituation. paticle of chage q = -3 μc i taveling with peed v = 50 / in a unifo field B = 4, a hown. θ=.5. What i the foce on the paticle? (a) 55.4 μn out of the page (b) (c) (d) 30 μn into the page 30 μn out of the page 554 μn into the page (e) 3.0 μn into the page QUESION 14 [1 Mak] he tajectoy of the paticle i bet decibed a a helix. qvb in 3 10 6 C 50 4in.5.3010 4 N QUESION 16 [1 Mak] hi and the next quetion petain to the following ituation. quae, hoizontal loop with ide length L = 0.1 i attached to a pivot aound which it ay feely otate. agnetic field B = 0.5 i applied paallel to the plane of the loop, a hown. battey (not hown) foce a contant cuent to flow aound the loop. Becaue of the toque exeted by the agnetic field, the loop would begin to otate wee it not fo a a = 1 kg upended fo one ide of the loop. Recall that g = 9.8 /. Which way ut the cuent flow in the loop to keep it fo otating due to the weight of the a? (a) a indicated by the aow aked "" QUESION 17 [4 Mak] How lage would the cuent have to be? Becaue we have paallel egent g g ILBin 9N I 0.1 0.5 in 90 I 98
QUESION 18 [1 Mak] n "eican Idol" contetant end he pefoance by inging a pefect C# into a icophone. He icophone wok a hown in the figue below: a agnet attached to a diaphag ove back and foth in epone to the ound wave, oving in and out of a coil. he agnet ocillate back and foth in epone to he voice uch that the agnetic flux though the coil change in tie a hown in the plot at ight. Which one of the following gaph ot accuately decibe the ef (electootive foce, think of cuent) in the coil? (B)
Nae: Magneti Equation Sheet v qb qb v qv v qv v qb V V qb qvbin ILB in u I 0 B d u NI 0 B R u0ni B L L I I d 0 1 7 0 4 10