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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 \[\vec{B}\] .
Solution
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.
\[F = \text{ qv } B\]
\[ \Rightarrow B = \frac{F}{\text{qv}}\]
\[ \Rightarrow 1 T = \frac{1 N}{\left( 1 C \right)\left( 1 \text{ m/s} \right)}\]
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