When a charged particle enters a region of uniform magnetic field it follows a c

Question

When a charged particle enters a region of uniform magnetic field it follows a circular path, as indicated in the figure.

(a) Is this particle positively or negatively charged?

negativepositive     

Explain.

This answer has not been graded yet.

(b) Suppose that the magnetic field has a magnitude of 0.200 T, the particle's speed is 6.0 106 m/s, and the radius of its path is 93.9 cm. Find the mass of the particle, given that its charge has a magnitude of 1.60 1019 C. Give your result in atomic mass units, u, where 1 u = 1.67 1027 kg.

Explanation / Answer

Here ,

a) as the force on the particle is

F = q *( v X B )

as the force on the charge is to the right

hence , the charge is negatively charged

b)

as r = m*v/(B * q)

0.939 = m * 6 *10^6/(1.6 *10^-19 * 0.2)

solving for m

m = 5.01 *10^-27 Kg

the mass of particle is 5.01 *10^-27 Kg

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