Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm, 307 turns, and 1.81 A. The elementary charge is 1.602 x 10-19 C, the mass of the proton is 1.673 x 10 2 kg, and the vacuum permeability constant has the value 47 x 10-7 T-m/A. At what speed vy should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.81 mm? U = 7955.7 m/s At what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section22.10: The Magnetic Field Of A Solenoid
Problem 22.8QQ: Consider a solenoid that is very long compared with its radius. Of the following choices, what is...
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Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The
outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the
outer solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm,
307 turns, and 1.81 A. The elementary charge is 1.602 × 10-19
9 C, the mass of the proton is 1.673 x 10-2 kg, and the vacuum
permeability constant has the value 47 x 10- T•m/A.
At what speed vi should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the
axis of the solenoids at a radius of 5.81 mm?
U1 =
7955.7
m/s
%3D
At what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm?
24784.6
U2 =
m/s
Incorrect
Transcribed Image Text:Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm, 307 turns, and 1.81 A. The elementary charge is 1.602 × 10-19 9 C, the mass of the proton is 1.673 x 10-2 kg, and the vacuum permeability constant has the value 47 x 10- T•m/A. At what speed vi should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.81 mm? U1 = 7955.7 m/s %3D At what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm? 24784.6 U2 = m/s Incorrect
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