How Do I Solve for L in an Inductance Equation?

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SUMMARY

The discussion focuses on solving for inductance (L) in the equation 2πf = √(1/LC - R²/4L²), where C is capacitance, R is resistance, and f is frequency. Participants suggest squaring both sides of the equation and rearranging terms to isolate L. The recommended approach involves collecting all terms on one side and finding a common denominator to simplify the equation for further analysis. This method allows for a clearer path to solving for L.

PREREQUISITES
  • Understanding of inductance and its role in electrical circuits
  • Familiarity with algebraic manipulation and solving equations
  • Knowledge of the relationship between frequency, resistance, and capacitance
  • Basic grasp of physics principles related to inductors and capacitors
NEXT STEPS
  • Study the derivation of the inductance formula in RLC circuits
  • Learn about the implications of inductance in AC circuit analysis
  • Explore numerical methods for solving nonlinear equations
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USEFUL FOR

Physics students, electrical engineers, and anyone involved in circuit design and analysis will benefit from this discussion on solving for inductance in electrical equations.

Loopas
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Hi everyone,

For my physics lab I have to solve for inductance, given the following equation and values for C, R, and f:

2*pi*f = \sqrt{\frac{1}{LC}-\frac{R^{2}}{4L^{2}}}

I'm just not really sure how to solve for L. I started by squaring both sides but it just seems like I can't solve for inductance because there's two terms for L.

Thanks
 
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After squaring collect everything on the left hand side (leaving zero on the right). Put over a common denominator...
 

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