Question 252: Electromagnetic Induction

Question

Two coils of self-inductance 25 mH and 9 mH are placed close together such that the effective flux in one coil is completely linked with the other The mutual inductance between these coils is

Accepted Answer

The mutual inductance ($M$) between two coils can be calculated using the geometric mean of their self-inductances when the flux linkage is complete:
$$ M = \sqrt{L_1 \cdot L_2} $$
where $L_1$ and $L_2$ are the self-inductances of the two coils.
Given:
$L_1 = 25 \, 	ext{mH}$
$L_2 = 9 \, 	ext{mH}$
Substituting the values:
$$ M = \sqrt{25 \, 	ext{mH} 	imes 9 \, 	ext{mH}} $$
Calculating:
$$ M = \sqrt{225 \, 	ext{mH}^2} = 15 \, 	ext{mH} $$
Therefore, the mutual inductance between the coils is
15 mH
.
Option C (15 mH) is the correct answer.

Answer

34 mH

Answer

16 mH

Answer

15 mH

Answer

6 mH

Electromagnetic Induction

Two coils of self-inductance 25 mH and 9 mH are placed close together such that the effective flux in one coil is completely linked with the other The mutual inductance between these coils is

Choose the correct answer: