(b) Determine the radius of curvature of the proton\'s path while in the field.

Question

(b) Determine the radius of curvature of the proton's path while in the field.
  m

(c) Determine the distance the proton traveled in the field.
m

(d) Determine the time interval for which the proton is in the field.
ns

A proton having an initial velocity of 20.3 j hatMm/s. (b) Determine the radius of curvature of the proton's path while in the field. m (c) Determine the distance the proton traveled in the field. m (d) Determine the time interval for which the proton is in the field. ns i hat Mm/s enters a uniform magnetic field of magnitude 0.290 T with a direction perpendicular to the proton's velocity. It leaves the field-filled region with velocity -20.3

Explanation / Answer

Part B)

Apply r = mv/qB

r = (1.67 X 10-27)(20.3 X 106)/(1.6 X 10-19)(.290)

r = .731 m (73.1 cm)

Part C)

The distance will be 1/4 of a circle

d= (.25)(2)(pi)(.731)

d = 1.15 m

Part D)

Apply d = vt

1.15 = (20.3 X 106)(t)

t = 5.65 X 10-8 sec

That is 56.5 ns

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