Maths question.
Discussion
I have two equations. A = 2Pi * F * L, and B = 1/(2Pi * F * C).
What I’d like is one equation that given values of C and L, tells me what value of F makes A = B but i can't see how to create it.
These are both equations used in electronics, particularly radio. The first one tells you the ‘reactance’ (effectively the resistance) of an inductor at a given frequency. F being the frequency and L being the value of the inductor. The second gives the reactance of a capacitor at a given frequency, C being the value of the capacitor.
The idea is that if both components are in a circuit they will either block or pass a specific frequency depending on how they are wired up. That frequency being the one where reactance is the same for both components. That’s why I’d like one equation that I can plug L and C into and read the value of F where A = B, without worrying about what A and B are except for being the same.
(Taking a few liberties with terminology here to avoid getting bogged down with matters irrelevant to the algebra)
What I’d like is one equation that given values of C and L, tells me what value of F makes A = B but i can't see how to create it.
These are both equations used in electronics, particularly radio. The first one tells you the ‘reactance’ (effectively the resistance) of an inductor at a given frequency. F being the frequency and L being the value of the inductor. The second gives the reactance of a capacitor at a given frequency, C being the value of the capacitor.
The idea is that if both components are in a circuit they will either block or pass a specific frequency depending on how they are wired up. That frequency being the one where reactance is the same for both components. That’s why I’d like one equation that I can plug L and C into and read the value of F where A = B, without worrying about what A and B are except for being the same.
(Taking a few liberties with terminology here to avoid getting bogged down with matters irrelevant to the algebra)
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