Question

(a) An electron with mass m = 9.11 * 10^33 kg enters a region with a B_a = 1.00 T magnetic field pointing in the z direction (out of page). The electron's initial speed is 3.00 * 10^4 m/s and it is initially moving in the *x direction. Find the angular frequency of it's subsequent circular motion. omega = ____ rad/s (b) A circular coil with area 0 250 m^2, 50 turns of wire, and a current of I = 10.0 A (in the direction shown) is free to rotate around the x-axis. There is a uniform magnetic field s = 2.50 T pointing in the positive z direction (out of page). Calculate the torque on the coil. vector tau = ____ vector i + ____ vector j + ____ vector k N_m (c) For the situation in part (b), find the potential energy of the coil in the magnetic field. u = ____ J

Thank you

Answer 1

2. a) For a circular motion, 98 =- mv r mm Therefore, the required angular frequency is v qB ω=-=- r m B 1.6x10-19 x1 m 9.11x10 ω=-= 31 1.76x1011 rad/s