Question

if f bev find dimensions of b where f force v velocity e charge​

Answer 1

Given:

$\rm \: F = B \times e \times v$

To find:

Dimensions of B ?

Calculation:

• In the given equation, 'e' is charge, 'v' is velocity and 'F' is force.

Now, expressing each quantity in terms of fundamental physical quantities :

$\rm \implies \: [F]=[ B \times e \times v]$

$\rm \implies \: [ML{T}^{ - 2} ]=[ B \times IT\times L{T}^{ - 1} ]$

$\rm \implies \: [ML{T}^{ - 2} ]=[ B \times I L ]$

$\rm \implies \:[ B ] = [M{T}^{ - 2} {I }^{ - 1} ]$

So, final answer is :

$\boxed{ \bf \:[ B ] = [M{T}^{ - 2} {I }^{ - 1} ]}$