Question

Two conducting circular loops of radii R₁ and R₂ are placed in the same plane with their centres coinciding. If R₁ > > R₂, the mutual inductance M between them will be directly proportional to ______.

विकल्प

• `("R"_2^2)/"R"_1`

• `"R"_1/"R"_2`

• `"R"_2/"R"_1`

• `("R"_1^2)/"R"_2`

Answer 1

Two conducting circular loops of radii R₁ and R₂ are placed in the same plane with their centres coinciding. If R₁ > > R₂, the mutual inductance M between them will be directly proportional to `underlinebb(("R"_2^2)/"R"_1)`.

Explanation:

The mutual inductance between two coils in the same plane with coincident centres is calculated using

M = `mu_0/4pi((2pi^2"R"_2^2"N"_1"N"_2)/"R"_1)`henry.