19% D Thu 1 elp webassign.net A Long Solenoid That Has 990 Turns Chapter 19 Acti

Question

19% D Thu 1 elp webassign.net A Long Solenoid That Has 990 Turns Chapter 19 Active Figure 19.19 Motion of a Charged Particle in a Uniform Magnetic Field Instructions Use the blue sliders to adjust the mass, speed, particle charge, and magnetic field magnitude. Change each parameter and observe the effect on the particle's motion. If the particle moves out of the Active Figure, press reset. 0.5 T 0.0 0.5 1.0 -2 1 0 12 0 1 2 juss × 20 x me .0 x x x x x x x x × × × 3.0 -4.0 3.0 10 m/ ×0+a0 x x x x x x x x x x -2.0 5.0 Rotation radius 6.82 10 m Period 1.4310 Display in a New Window Conceptualize 15 MacBook A

Explanation / Answer

Mass of an electron m = 9.1 × 10-31 kg

Charge of the electron q = 1.6 × 10-19 C

A)

Velocity of the electron is v = 3.40 × 106 m/s

Magnitude of the magnetic field B = 0.4 T

Radius r of the path in which electron is revolving is given by

r = m v / q B

= ( 9.1 × 10-31 × 3.40 × 106 ) / ( 1.6 × 10-19 × 0.4 )

= ( 30.94 × 10-25 ) / ( 0.64 × 10-19 )

= 48.34 × 10-6 m

Electron revolves in a circular path of radius r = 48.34 × 10-6 m

B) Velocity of the electron be V = 6.50 × 106 m/s

Magnitude of the magnetic field is B' = 1.7 T

Radius of the circular path R = m V / q B'

R = ( 9.1 × 10-31 × 6.50 × 106 ) / ( 1.6 × 10-19 × 1.7 )

= ( 59.15 × 10-25 / 2.72 × 10-19 )

= 21.74 × 10-6 m

Electron revolves in a circular path of radius R = 21.74 × 10-6 m

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