Question

What is the dimensional formula for the coefficient of self induction?
A. `[L]=[M^(1)L^(2)T^(-2)]`
B. `[L]=[M^(1)L^(2)T^(-3)A^(1)]`
C. `[L]=[M^(1)L^(2)T^(-2)A^(-2)]`
D. `[L]=[M^(0)L^(1)T^(-2)A^(-3)]`

Answer 1

Correct Answer - C
`e = L(dI)/(dt) :. L = (edt)/(dI) :. L = (edt)/(dI)=W/q (dt)/(dI)`
`=([L^(2)M^(1)T^(-2)])/(A xx T) xx T/A`
[self inductance] = `[L^(2)M^(1)T^(-2)A^(-2)]`.