Dimensional formula of self inductance is ......

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)`

Answer

C

Explanation

We have `|epsilon| = L|(dI)/(dt)|`
`therefore` Unit of `L=V_S/A=J/C xx S/A =J/A_S = S/A`
`therefore` Unit of `L=J/A^2 rArr [L]=(M^1L^2T^(-2))/A^2`
`therefore [L]=M^1 L^2 T^(-2) A^(-2)`