Mutual Inductance of Concentric Coils
Example 6.9
Two concentric circular coils, one of small radius r₁ and the other of large radius r₂ (r₁ << r₂), are placed co-axially with centers coinciding. Obtain the mutual inductance of the arrangement.
Mutual inductance:
\[M_{12} = M_{21} = \frac{\mu_0 \pi r_1^2}{2r_2}\]
\[M_{12} = M_{21} = \frac{\mu_0 \pi r_1^2}{2r_2}\]
Interactive Simulation
Explore how mutual inductance changes with coil dimensions:
Current in outer coil: clockwise
0.05 m
0.50 m
1.0 A
Magnetic Field at Center (B₂)
1.26 × 10-6 T
Flux through Inner Coil (Φ₁)
9.87 × 10-9 Wb
Mutual Inductance (M)
9.87 × 10-9 H
