The dimensional formula of magnetic flux is:

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Question

(A) Magnetic flux $\phi$ is defined as the product of magnetic field $B$ and area $A$,i.e.,$\phi = B \cdot A$.From the Lorentz force formula,$F = B I

Vedclass · Accepted Answer

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

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(A) Magnetic flux $\phi$ is defined as the product of magnetic field $B$ and area $A$,i.e.,$\phi = B \cdot A$.From the Lorentz force formula,$F = B I L$,we can write $B = \frac{F}{I L}$.Substituting the dimensions of force $[F] = [M L T^{-2}]$,current $[I] = [A]$,and length $[L] = [L]$,we get the dimensions of $B$ as $[B] = \frac{[M L T^{-2}]}{[A] [L]} = [M T^{-2} A^{-1}]$.Now,the dimensions of magnetic flux $\phi$ are $[B] 	imes [A] = [M T^{-2} A^{-1}] 	imes [L^2] = [M L^2 T^{-2} A^{-1}]$.

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