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 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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