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The dimensional formula for magnetic fl...

The dimensional formula for magnetic flux is

A

`[ML^(2)T^(-2)A^(-1)]`

B

`[ML^(3)T^(-2)A^(-2)]`

C

`[M^(0)L^(-2)T^(2)A^(-2)]`

D

`[ML^(2)T^(-1)A^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
A

Mathematically, magnetic flux
`phi = B A` ...(i)
but magnetic force
`F = Bil` or `B = (F)/(il)`
Putting the value of B in Eq.(i), we have
`phi = (F)/(il)A`
Thus, dimensions of `phi = ([MLT^(-2)][L^(2)])/([AL])`
`= [ML^(2)T^(-2)A^(-1)]`
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