Question

Write the dimensional formula for self-inductance.

Answer 1

To find the dimensions, we use the formula for induced emf (e):

e = `L (dI)/(dt)`

= `(e xx dt)/(dI)`

Dimensional Formula for Self-Inductance (L)

[L] = `([V][t])/[I]`

[V] = ML²T⁻³A⁻¹

= `([ML^2T^(−3)A^(−1)] xx [T])/[A]`

[L] = ML²T⁻²A⁻²