Question

Define one tesla using the expression for the magnetic force acting on a particle of charge ${}^{\prime }{q}^{\prime }$ moving with velocity $\overrightarrow{V}$ in a magnetic field $\overrightarrow{B}$.

Answer 1

One tesla is the magnetic field in which a charge of $1C$ moving with a velocity of $1m{s}^{-1}$ normal to the magnetic field, experiences a force of

$1N$

$B=\frac{F}{qv\sin \theta }$

If $F=1N,q=1C,v=1m{s}^{-1},\theta ={90}^o$

then $SI$ units of $B=\frac{1N}{1C.1m{s}^{-1}.\sin {90}^o}$

$=1N{A}^{-1}{m}^{-1}=1$ tesla