2. (a) A positron initially moving through empty space at a constant velocity of

Question

2. (a) A positron initially moving through empty space at a constant velocity of v0 = 1.0 x 10^5 m/s j, approaches the origin along the negative y axis. As it passes through the origin, it suddenly experiences a magnetic field; for all y>0, the magnetic field is B = B0 i, where B0 = 1.0 mT; for all y<0, the magnetic field is zero. What is the radius of curvature of the positron's trajectory in the region y>0? (c) How much time passes before the positron reemerges in the domain for which y<0, and at what point (x,y,z) does it reemerge?

Explanation / Answer

here ,

v0 = 1 *10^5 m/s j

magnetic field , B = 1 *10^-3 * i T

a) for the radius of curvature of the position's trajectory is

r = m * v/(B * q)

r = 9.11 *10^-31 * 1 *10^5/( 1 *10^-3 * 1.602 *10^-19)

r = 5.69 *10^-3 m

the radius of the curvature of the positron's trajectory in the region is 5.69 *10^-3 m

c)

for the time taken for the positron

time taken for the positron = pi * r/speed

time taken for the positron = pi * 5.69 *10^-3/(1 * 10^5)

time taken for the positron = 1.787 *10^-7 s

the time taken for the positron is 1.787 *10^-7 s

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