Frequency, inductance, and capacitance

AI Thread Summary
To find the capacitance of an oscillator at 96.9 MHz with an inductance of 1.4 μH, the relevant formula involves the resonant frequency of an LC circuit, given by f = 1/(2π√(LC)). The user expresses confusion over the calculations and units, indicating a lack of understanding of the relationship between inductance and capacitance. They attempted to manipulate the units but did not arrive at a solution. Additional resources, such as the Wikipedia page on LC circuits, were suggested for further clarification. Understanding the formula and proper unit conversions is essential for solving the problem.
taylorjr
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Homework Statement



The oscillator of a 96.9 MHz FM station has an inductance of 1.4 μH. What is the value of the capacitance?

Homework Equations



I haven't the slightest idea. I've looked through the section in my physics book and looked all over online and I can't find anything.

The Attempt at a Solution



Just looking at the units, a Henry is \Omega * s, and a Farad is s / \Omega, so I multiplied the two given values, getting s^{2}, then I took the square root, but no luck.
 
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