Question

Write the expression for the Lorentz force on a particle of charge q moving with a velocity v⃗ in a magnetic field B⃗. When is the magnitude of this force maximum ? Show that no work is done by this force on the particle during its motion from a point r⃗₁ to point r⃗₂.

A long straight wire AB carries a current I. A particle (mass m and charge q) moves with a velocity v⃗, parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.

An electron with velocity v = (vxî + vyĵ) moves through a magnetic field B = (Bxî − Byĵ). The force F on the electron is : (e is the magnitude of its charge)

A long straight conductor kept along X' X axis, carries a steady current I along + x direction. At an instant t, a particle of mass m and charge q at point (x, y) moves with a velocity v⃗ along + y direction. Find the magnitude and direction of the force on the particle due to the conductor.