Question

Com what is the dimension formula of magnetic field strength

Answer 1

Equation of Force in terms of magnetic field, charge and velocity = qvB

F = qvB

q = charge

v = velocity of the charge

B = magnetic field

Now, $\(charge = current \times time\)$

Dimensional formula for $\( q = [A \times T]$

Dimensional formula for v = $\( L \times T^{-2}\)$

$\(F = [M \times L \times {T}^{-2}]\)$

$\( B = \frac{F}{qv}\)$

Dimensional formula for B = $\(\frac{MLT^{-2}}{LT^{-1} \times A \times T}\)$

Dimensional formula for B =$\(M T^{-2} A^{-1}\)$

Hence, the dimensional formula for magnetic fiels is $\(M T^{-2} A^{-1}\)$.

Answer 2

dimensional formula of magnetic field strength is ML-1T-2