Mutual Inductance Homework: X & Y Coils | M Value

AI Thread Summary
The discussion centers on calculating the mutual inductance between two coils, X and Y, where one quarter of the magnetic flux from coil X links with coil Y. When coil X is the primary and coil Y is the secondary, the mutual inductance is denoted as M. The question posed is about the mutual inductance when coil Y is the primary and coil X is the secondary. The consensus is that the mutual inductance remains the same, confirming that M is independent of which coil is primary, leading to the conclusion that the answer is M. Thus, mutual inductance is reciprocal between the two coils.
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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
 
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Yes. M12 = M21
 
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