State the magnetic force law for a moving charged particle.

State the magnitude of the magnetic force on a particle of charge magnitude \(|q|\).

When is the magnetic force on a moving charged particle zero?

A proton moves at \(3.0\times10^5\,\mathrm{m\,s^{-1}}\) perpendicular to \(0.20\,\mathrm{T}\). Find the magnetic force magnitude.

An electron moves at \(4.0\times10^6\,\mathrm{m\,s^{-1}}\) at \(30^\circ\) to a \(0.50\,\mathrm{T}\) field. Find the force magnitude.

A charge \(2.0\,\mu\mathrm{C}\) moves perpendicular to a magnetic field at \(1.5\times10^3\,\mathrm{m\,s^{-1}}\). The force is \(6.0\times10^{-4}\,\mathrm{N}\). Find \(B\).

A positive charge moves east through a magnetic field pointing north. What is the force direction?

An electron moves east through a magnetic field pointing north. What is the force direction?

A particle moves through a magnetic field but its speed does not change. Why is this consistent with a nonzero magnetic force?

A particle has velocity components parallel and perpendicular to \(\vec B\). Which component determines the magnetic force magnitude?

Find the perpendicular speed component for a particle moving at \(8.0\times10^4\,\mathrm{m\,s^{-1}}\) at \(60^\circ\) to \(\vec B\).

Show from the cross product why magnetic force is perpendicular to velocity.

A particle of charge \(5.0\,\mathrm{nC}\) moves perpendicular to \(0.080\,\mathrm{T}\) and feels \(2.0\times10^{-6}\,\mathrm{N}\). Find its speed.

A positive charge moves in the \(+x\) direction through a magnetic field in the \(+z\) direction. Find the force direction.

What magnetic field direction would make a positive charge moving in \(+x\) feel force in \(+y\)?

Derive the tesla in base force-current-length units from the force on a wire.

A charge moves at fixed speed through a region where \(\vec B\) is uniform. What happens to its kinetic energy if no other forces act?

A charged particle experiences no magnetic force in a region. Does this prove \(B=0\)? Explain.

Two particles have equal speed and equal charge magnitude in the same magnetic field. One moves perpendicular to the field and one at \(30^\circ\). Compare force magnitudes.

Explain why the magnetic force law must include both a magnitude rule and a direction rule.