Mutual Inductance Homework: X & Y Coils | M Value

[songoku]

Homework Statement

A mutual inductor consists of two coils X and Y arranged so that one quarter of the magnetic flux produced by X links with Y. When X is used as the primary coil and Y as the secondary, the mutual inductance is M. What is the mutual inductance when Y is used as primary coil and X as the secondary?

a. M/4
b. M/2
c. M
d. 2M
e. 4M

Homework Equations

$$E=-M\frac{\Delta I}{\Delta t}$$

The Attempt at a Solution

I think the answer is (c) because M is independent whether X or Y is the primary one. Am I right?

Thanks

 

[rl.bhat]

Yes. M12 = M21

 

[tomcue]

for your question. You are correct in your reasoning that the mutual inductance, M, is independent of which coil is used as the primary and which is used as the secondary. Therefore, the answer would be (c) M. The mutual inductance, M, is a measure of the coupling between the two coils and is a property of the system, not of the individual coils.