24/2017 11ssPM G9oloo G 418/20170253 PM Print Icaladator Periodic Table sion 10

Question

24/2017 11ssPM G9oloo G 418/20170253 PM Print Icaladator Periodic Table sion 10 of 10 Sapling Learning Mapoo Two solenoids are rested as ideal. The outer one has a magnetic in ons. Treat the radius of 20 and the radius of the inner solenoid is 10 mm. solenoids number of tums, and current of the outer are, respectively, 21.9 cm, 531 turns, and 6.01 A For the inner solenoid the corresponding quantities are 18.3 turns, what speed, and At ifit is v. should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, to orbit the axis of the solenoids at a radius of 6.69 mm? vi" .0140 m/s And at what speed, v2. for an orbital radius of 13,7 mm? m/s O Previous 2 check Answer O Next Exit insert Home Page

Explanation / Answer

A)

B = B1 + B2

B = u0 N1 i1/L1 - u0 N2 i2/L2

B = 4*3.1416e-7*531*6.01/0.219 - 4*3.1416e-7*389*1.93/0.183

B = 0.0132 T

m v^2/R = q v B

==> v_1 = R q B/m = 6.69e-3*1.6e-19*0.0132/1.67e-27 = 8460.64 m/s



b)

B = B1

B = u0 N1 i1/L1

B = 4*3.1416e-7*531*6.01/0.219

B = 0.018 T

m v^2/R = q v B

==> v_1 = R q B/m = 16.9e-3*1.6e-19*0.018/1.67e-27 = 29144.91 m/s

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