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The circuit of interest is the basic circuit for a Fender Stratocaster guitar. A diagram can be found at http://www.seymourduncan.com/support/schematics/S_1singlecoil_1vol_1tone.html . Basically an electric guitar works by vibrating a metal string in a magnetic field. This in turn causes a current to be generated in the an inductor that is wrapped around the magnet.
What I'm trying to do is find the frequency response of this circuit. Whenever I try to calculate the transfer function for this circuit I get
TF = 1.
When I try to calculate the total impedance for this circuit I get
Z_{total} = \frac{Z_{1}Z_{2}}{Z_{1}+Z_{2}} = \frac{(R_{1} - j\frac{1}{\omega C})R_{2}}{R_{1}-j \frac{1}{\omega C}+R_{2}}
where
Z_{1} = R_{1} - j \omega C and Z_{2} = R_{2}.
To find the transfer function I calculate
TF = \frac{V_{in}}{V_{out}} = 1.
This is obviously incorrect, but I don't know where my mistake is. Is my diagram correct?
What I'm trying to do is find the frequency response of this circuit. Whenever I try to calculate the transfer function for this circuit I get
TF = 1.
When I try to calculate the total impedance for this circuit I get
Z_{total} = \frac{Z_{1}Z_{2}}{Z_{1}+Z_{2}} = \frac{(R_{1} - j\frac{1}{\omega C})R_{2}}{R_{1}-j \frac{1}{\omega C}+R_{2}}
where
Z_{1} = R_{1} - j \omega C and Z_{2} = R_{2}.
To find the transfer function I calculate
TF = \frac{V_{in}}{V_{out}} = 1.
This is obviously incorrect, but I don't know where my mistake is. Is my diagram correct?
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