What are the dimensions of mutual inductance ?

Options

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

Answer

C

Explanation

The self or mutual inductance of a coil is the flux change due to change in current , i.e.,
L or `M =(phi)/(I)`
So , dimensions of Mutual Inductance or Self- Inductance can be given by
`rArr " "[L] = ([phi])/([l])`
`=([ML^(2)T^(-2)l^(-1)])/([M^(0)L^(0)I^(1)] = [ML^(2)T^(-2)I^(-2)]`