Chapter 28, Problem 026 In the figure, a charged particle moves inte a region of

Question

Chapter 28, Problem 026 In the figure, a charged particle moves inte a region of unitorm magnetic fele 8.oses through hair a clrdle, and then exts thet regien. The partile is ether a proton or an electron (you must decide which). It spends 118 ne in the (e) what is the magnitude of 7 (b) If the pertice is sent back threugh he magnetic feld (along the same intial parh) but with 2.04 times its previous kinetie energy how much time does it spend in the field during this trip? Study oR (a) Numbe (b) Number Units Questien Attempts 9 ef 10 used

Explanation / Answer

Here ,

as F = q * V X B

the particle moves clockwise , the particle is proton

a) Now, for the time period

T = 2pi * m/(B * q)

2 * 118 *10^-9 = 2pi * 1.67 *10^-27/(B * 1.602 *10^-19)

solving for B

B = 0.28 T

the magnetic field is 0.28 T

b)

T = 2pi * m/(B * q)

as the time period is not dependent on the velocity or kinetic energy of the particle

time spent will not change

hence , the answer is 118 ns

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