Question

Dimensional formula of magnetic flux density (B) can be calculated from the relation F = qv Bsin θ, where F is force, q is charge, v is velocity and is an angle. Find [B].

Answer 1

We have, 

F = qvB sin θ 

B = F/qv sin θ 

[F] = [MLT^-2 ] 

[v] = [LT^-1 ] 

[q] = [AT] 

sin θ is dimensionless 

[B] = \(\frac {|MLT^{-2}|}{|LT^{-1}||AT|}\)

= [ML⁰T ^-2A ^-1 ]