The magnetic force on a point charge is F = q ( v × B ) Here, q = electric charge ,v = velocity of point charge and B = magnetic field The dimension of B is

Question

The magnetic force on a point charge is F = q ( v × B ) Here, q = electric charge ,v = velocity of point charge and B = magnetic field The dimension of B is (A)  [ MLT - 1 A ]  (B)  [ M2 LT - 2 A - 1 ]  (C)  [ MT - 2 A - 1 ]  (D) None of these

Tardigrade Admin · Accepted Answer

Magnetic force F = q v × B or F = q v b sin θ ∴ [ B ] = [ ( F / qv ) ] = ( [ MLT - 2 ] / [ AT ] [ LT - 1 ] ) = [ MT - 2 A - 1 ]

Q. The magnetic force on a point charge is F = q ( v $\times$ B )
Here, q = electric charge ,v = velocity of point charge and B = magnetic field
The dimension of B is

$[M L T^{- 1} A]$

$[M^{2} L T^{- 2} A^{- 1}]$

$[M T^{- 2} A^{- 1}]$

None of these

Magnetic force F = q v $\times$ B
or $F = q$ v $b s in θ$
$∴ [B] = [\frac{F}{q v}] = \frac{[ M L T ^{- 2} ]}{[ A T ] [ L T ^{- 1} ]}$
= $[M T^{- 2} A^{- 1}]$

Q. The magnetic force on a point charge is F = q ( v × B ) Here, q = electric charge ,v = velocity of point charge and B = magnetic field The dimension of B is

[MLT−1A]

[M2LT−2A−1]

[MT−2A−1]