Question

An alpha particle is projected with velocity v = (3·0 × 10⁵ m/s) î into a region in which magnetic field B = [(0·4 T) î + (0·3 T) ĵ] exists. Calculate the acceleration of the particle in the region. î, ĵ and k̂ are unit vectors along x, y and z axis respectively and charge to mass ratio for alpha particle is 4·8 × 10⁷ C/kg.

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)