Question

The magnetic force on a point charge is $\vec{ F }= q (\vec{ V } \times \vec{ B })$ Here, $q=$ electric charge $\vec{ V }=$ velocity of point charge $\vec{ B }=$ magnetic Held The dimension of $\vec{B}$ is :

• A. $[MLT^{-1}A]$
• B. $[M^{2}LT^{2}A^{-1}]$
• C. $[MT^{-2}A^{-1}]$
• D. none of these

Answer 1

Answer: (C)

$[MT^{-2}A^{-1}]$

Answer 2

$F=q \vec{v} \times \vec{B}$ or $F=q v B \sin \theta[B]=\left[\frac{F}{q v}\right]$ $=\frac{\left[M L T^{-1}\right]}{[A T]\left[L T^{-1}\right]}$ $=\left[M T^{-2} A^{-1}\right]$