Question

Define one tesla using the expression for the magnetic force acting on a particle of charge q moving with velocity \[\vec{v}\]  in a magnetic field \[\vec{B}\] .

Answer 1

One tesla is the defined as the magnitude of magnetic field which produces a force of 1 newton when a charge of 1 coulomb moves perpendicularly in the region of the magnetic field at a velocity of 1 m/s.

\[F = \text{ qv } B\]

\[ \Rightarrow B = \frac{F}{\text{qv}}\]

\[ \Rightarrow 1 T = \frac{1 N}{\left( 1 C \right)\left( 1 \text{ m/s}  \right)}\]