The radius of the track in the circular motion is 0.164 mm.
Magnetic force of the of charge
The magnetic force of the charge is calculated as follows;
F = qvB
Centripetal force of the charge
The centripetal force experienced by the charge is calculated as follows;
[tex]F = \frac{mv^2}{r}[/tex]
The magnetic force is equal to the centripetal force
[tex]qvB = \frac{mv^2}{r} \\\\qB = \frac{mv}{r} \\\\r = \frac{mv}{qB} \\\\[/tex]
The radius of the track
The radius of the track is calculated as follows;
[tex]r = \frac{9.1 \times 10^{-31} \times 5.5 \times 10^6}{1.6 \times 10^{-19} \times 0.19} \\\\r = 1.64 \times 10^{-4} \ m\\\\r = 0.164 \times 10^{-3} \ m\\\\r = 0.164 \ mm[/tex]
Thus, the radius of the track in the circular motion is 0.164 mm.
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