Mutual Inductance: Homework Solutions

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SUMMARY

The discussion focuses on solving a homework problem related to mutual inductance using two primary approaches. The first method utilizes the formula m = k√(L1L2), where m represents mutual inductance, k is the coupling coefficient, and L1 and L2 are the self-inductances of the coils. The second approach involves applying Kirchhoff's Voltage Law (KVL) to derive equations for the currents I1 and I2, allowing for their calculation through simultaneous equations.

PREREQUISITES
  • Understanding of mutual inductance and its formula m = k√(L1L2)
  • Familiarity with Kirchhoff's Voltage Law (KVL)
  • Basic knowledge of electrical circuits and inductors
  • Ability to solve simultaneous equations
NEXT STEPS
  • Research the coupling coefficient (k) and its significance in mutual inductance
  • Study advanced applications of Kirchhoff's Voltage Law in circuit analysis
  • Explore the derivation and implications of the mutual inductance formula
  • Learn techniques for solving simultaneous equations in electrical engineering contexts
USEFUL FOR

Students studying electrical engineering, educators teaching circuit theory, and anyone interested in understanding mutual inductance and its applications in electrical circuits.

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Homework Statement


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Homework Equations




The Attempt at a Solution

 
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I have two ideas:
1. using m=k√L1L2
or
2. assume they equal and solve it ??
 
Write the kvl equations for the two currents I1 and I2. Solve for I1 and I2.
 

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