The conducting circular loops of radii `R_(1) and R_(2)` are placed in the same plane with their centres coinciding. If `R_(1) gt gt R_(2)`, the mutual inductance M between them will be directly proportional to

Options

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

Answer

D

Explanation

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