How Do I Solve for L in an Inductance Equation?

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To solve for L in the inductance equation 2*pi*f = √(1/(LC) - R²/(4L²)), start by squaring both sides to eliminate the square root. After squaring, rearrange the equation to collect all terms on one side, setting the equation to zero. Next, combine the terms over a common denominator to facilitate solving for L. This approach allows for isolating L and finding its value. Proper manipulation of the equation is crucial for determining the inductance accurately.
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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