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Finding L and C for which there is only one resonant frequency in cct
an inductor in series with a paralle of (a capacitor and a resistor)
The inductor and resistor are fixed while C is variable
Z = sL + R/(1+RsC)
Find a value of L and C such that there is only one value of C for which there is a resonant freq
R = 10k
resonant freq = 40k * pi
Set Z = R at resonance and find that w^2RLC + jw(R^2C-L) = 0
at resonance, the bracket term becomes zero. But I am confused by the fact that the w is outside of the brackets. Do I just set R^2 C - L = 0 and find solve for L and C? But I only have one equation and two unknowns.
Homework Statement
an inductor in series with a paralle of (a capacitor and a resistor)
The inductor and resistor are fixed while C is variable
Z = sL + R/(1+RsC)
Find a value of L and C such that there is only one value of C for which there is a resonant freq
Homework Equations
R = 10k
resonant freq = 40k * pi
The Attempt at a Solution
Set Z = R at resonance and find that w^2RLC + jw(R^2C-L) = 0
at resonance, the bracket term becomes zero. But I am confused by the fact that the w is outside of the brackets. Do I just set R^2 C - L = 0 and find solve for L and C? But I only have one equation and two unknowns.
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