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Help please. Show your work if possible. In the figure below, a magnetic field o

ID: 1863710 • Letter: H

Question

Help please. Show your work if possible.

In the figure below, a magnetic field of 0.6 Tesla points into the page. A particle of charge-12 nC and mass 0.6 ? is shot into the field as shown in the figure with a velocity of 0.1 km/s. What is the radius of the orbit (in meters)? (The radius is a positive quantity.) Be careful with the powers of 10. Hint: k-kilo, m-milli, ?=micro, n-nano and the SI units for magnetic field, charge, mass, length and time are: tesla (T), coulomb (C), kilogram (kg), meter (m) and second (s), respectively. Do not include units with your answer. (in)

Explanation / Answer

centripetal force is balanced by magnetic force

F_B = F_C

Bqv = mv^2/R

R = mv/qB

=0.6 * 10^-9 (0.1 * 10^3)/12 * 10^-9 (0.6)

=8.33