A proton traveling at 21.3 with respect to the direction of a magnetic field of strength 2.96 mT experiences a magnetic force of 8.24 x 10"/N. Calculate (a) the proton's speed and (b) its kinetic energy in electron-volts. (a) Number i Units (b) Number Units In the figure, an electron with an initial kinetic energy of 4.10 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.0120 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 25.0 cm. There is an electric potential difference AV = 2100 V across the gap, with a polarity such that the electron's speed increases uniformly as it traverses the gap. Region 2 contains a uniform magnetic field directed out of the page, with magnitude 0.0196 T. The electron goes through a half-circle and then leaves region 2. At what time t does it leave? Region 1 Region 2 Number i Units In a certain cyclotron a proton moves in a circle of radius 0.520 m. The magnitude of the magnetic field is 1.70 T. (a) What is the oscillator frequency? (b) What is the kinetic energy of the proton? (a) Number i Units (b) Number Units An electron moves in a circle of radius r = 4.52 x 10-1 m with a speed 2.51 x 106 m/s. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge magnitude to the period of the motion. If the circle lies in a uniform magnetic field of magnitude B = 6.42 mT, what is the maximum possible magnitude of the torque produced on the loop by the field? Number i Units