A) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{-1}}]\]
B) \[[M{{L}^{3}}{{T}^{-2}}{{A}^{-2}}]\]
C) \[[{{M}^{0}}{{L}^{-2}}{{T}^{2}}{{A}^{-2}}]\]
D) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{2}}]\]
Correct Answer: A
Solution :
Magnetic flux \[(\phi )\] through a surface of area (A) is the total number of magnetic lines of induction passing through that area normally. Mathematically, magnetic flux \[\phi =BA\] but magnetic force \[F=Bil\] or \[B=\frac{F}{il}\] putting the value of B in Eq. (i), we have \[\phi =\frac{F}{il}A\] Thus, dimensions of \[\phi =\frac{[ML{{T}^{-2}}][{{L}^{2}}]}{[AL]}\] \[=[M{{L}^{2}}{{T}^{-2}}{{A}^{-1}}]\]
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