The lecture Magnetic Force Example by Jared Rovny, PhD is from the course Magnetism.
An electron is moving with 1/3 the speed of light (about 10⁸ m/s) when it encounters a uniform magnetic field of 0.5 T. The magnetic field vector makes an angle of 30° with the velocity vector of the electron. What is the magnitude of the magnetic force on the electron? (Use the relation: |F| = q |B|.|v|sinθ with q = 1.6 × 10⁻¹⁹ C : 1.6 times 10 to the minus 19 Coulomb)
A proton is moving with 1/3 the speed of light (about 10⁸ m/s) in uniform circular motion in a cyclotron. The magnetic field of the cyclotron is 2 T. What is the radius of the protons circular motion if the charge to mass ratio of a proton is 1.05 × 10⁻⁸ kg/C?
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