How to Calculate Coupling Coefficient Without Mutual Inductance?

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SUMMARY

The discussion focuses on calculating the coupling coefficient (k) between two p-core inductors when mutual inductance (M) is unknown. The relationship is defined by the equation M = k * sqrt(L1 * L2), where L1 and L2 are the inductances of the coils. The user identifies that the coupling coefficient can also be expressed as mutual impedance divided by the square root of the product of the impedances of each inductor. However, the user expresses uncertainty regarding the calculation of mutual impedance.

PREREQUISITES
  • Understanding of inductance and its measurement in electrical circuits.
  • Familiarity with the concept of mutual inductance in coupled inductors.
  • Knowledge of impedance and its role in AC circuits.
  • Basic proficiency in using equations related to inductive components.
NEXT STEPS
  • Research how to calculate mutual impedance in coupled inductors.
  • Study the principles of mutual inductance and its significance in electrical engineering.
  • Learn about the impact of core materials on inductance and coupling coefficients.
  • Explore practical applications of coupling coefficients in transformer design.
USEFUL FOR

Electrical engineering students, circuit designers, and professionals working with inductive components who need to understand the relationships between inductance, mutual inductance, and coupling coefficients.

seanhbailey
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Homework Statement



I am trying to find the mtuual inductance between two p-core inductors (they share the same core) but I am not sure how the coupling coefficient would be calculated. I know the inductance of both coils. What else would I have to know in order to calculate the coupling coefficient if I am not given the mutual inductance?

Homework Equations



M = k*sqrt(L1*L2)

where M is mutual inductance, k is coupling coefficient, L1 and L2 are inductances of first and second coils respectively.

The Attempt at a Solution



Dunno.
 
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Ok, so I figured out that the coupling coefficient is equal to mutual impedance divided by the square root of the product of the impedances of each inductor. I am not sure if this helps, as I do not know how to calculate mutual impedance.
 
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