Dimensional formula of magnetic flux density (B) can be calculated fro

1.	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» 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 ]

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»

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 ]