Physics
posted by Stryker on .
An electron moves on a circular orbit in a uniform magnetic field. The strength of the field is 1.00×105 tesla. The kinetic energy of the electron is 178.0 eV. (1 eV = 1 electron volt = 1.6 ×10−19 joules.) Calculate the radius of the orbit.
(electron parameters: the charge is e where e = 1.602×1019 C; the mass is m = 9.11×1031 kg.)

KE =m•v²/2,
v= sqrt(2•Ke/m) = sqrt(2•178•1.6•10^19/9.11•10^31) =7.9•10^6.
Lorentz force
F=q•v•B•sinα,
Since the circular orbit, sinα = 1.
mv²/R = q•v•B.
R= m•v/q•B = m•v/e•B =
=9.11•10^31•7.9•10^6/1.6•10^19•1•10^5 =4.5•10^10 m