In a region where a 1.0 T magnetic field points from south to north, an alpha particle is projected vertically upward at a speed of 3.0 10^4 km s ⁻¹ . Determine the magnetic force acting on the -particle.

Step-by-step solution

Charge of an alpha particle, q = +2e = 3.2 10⁻¹⁹ C Velocity, v = 3.0 10^4 km s ⁻¹ = 3.0 10^7 m s ⁻¹ Magnetic field, B = 1.0 T Let East be i , North be j , and vertically upward be k . v = 3.0 10^7 k m s ⁻¹ B = 1.0 j T Magnetic force, F = q( v B ) F = 3.2 10⁻¹⁹ (3.0 10^7 k 1.0 j ) F = 9.6 10⁻¹² ( k j ) N Since k j = - i , the force is directed towards the west. Magnitude of force is 9.6 10⁻¹² N .