Write dimensional formula of self inductance.

Options

A. `M^(1)L^(1)T^(-2)A^(-2)`
B. `M^(1)L^(2)T^(-1)A^(-2)`
C. `M^(1)L^(2)T^(-2)A^(-2)`
D. `M^(1)L^(2)T^(-2)A^(-1)`

Explanation

Magnitude of induced emf `epsi=L(dI)/(dt)`
according to unit
`V=Lxx(A)/(S)`
`:.(J)/(C)=Lxx(A)/(S) [ :. V=("joule")/("Coulumb")]`
`:. L=(Js)/(AxxAs) [ :. C=Axxs]`
`:.L=(J)/(A^(2))`
`:. [L]=([J])/([A]^(2))=(M^(1)L^(2)T^(-2))/(A^(2))=M^(1)L^(2)T^(-2)A^(-2)`