Lesson Plan: Motion of Charged Particles in Combined Uniform Magnetic and Electric Fields

Students will be able to

• combine the equations , , and to model the motion of charged particles in electromagnetic velocity selectors, mass spectrometers, and cyclotrons,
• define the Hall effect as the production of a potential difference across the sides of a conductor perpendicular to the direction of the current in the conductor and to a uniform magnetic field that the conductor is within,
• relate the potential difference, , produced across a conductor by the Hall effect to the current, , in the conductor, the charge, , of current carriers in the conductor, the length, , of the conductor parallel to an applied magnetic field, , and the charge carrier density, , of the conductor using the equation .