Velocity Selector using Crossed Electric and Magnetic Fields
A charged particle enters a region with a uniform electric field \(\vec{E}\) and a uniform magnetic field \(\vec{B}\). The fields are configured such that \(\vec{E}\), \(\vec{B}\), and the initial velocity \(\vec{v}\) of the particle are mutually perpendicular.\n\nExplain the conditions required for the particle to pass through this region undeflected. In your explanation:\n(i) Describe the nature […]
Induced EMF in a Moving Conductor Derivation
A straight conductor of length \(L\) moves at a constant speed \(v\) perpendicular to a uniform magnetic field \(B\). By considering the magnetic force on the charge carriers within the conductor, derive an expression for the induced electromotive force (emf) \(\varepsilon\) across the ends of the conductor in terms of \(B\), \(v\), and \(L\). Assume […]
Determining Magnetic Force Direction Using the Right-Hand Rule
A positive charge is moving vertically upward and enters a region where the magnetic field is uniform and directed perpendicularly out of the page. What is the direction of the magnetic force acting on the charge?