Two conducting circular loops of radii `R_1 and R_2` are placed in the same plane with their centres coincident. Find the mutual inductance between them assuming `R_2ltltR_1`.

Options

A. `R_(1)//R_(2)`
B. `R_(2)//R_(1)`
C. `R_(1)^(2)//R_(2)`
D. `R_(2)^(2)//_(1)`

Answer

D

Explanation

Mutual inductance between two coil in the same plane with their centres coinciding is giving by
`M=(mu_(0))/(4pi)((2pi^(2)R_(2)^(2)N_(1)N_(2))/(R_(1)))`henry.