Electronics Fundamentals/Electronic Filter/Band Pass Filter

LR + CR Band Pass Filter

Characteristics

$\frac{V_o}{V_i}=(\frac{1}{1+j\omega \frac{L}{R}})(\frac{j\omega RC}{1+j\omega RC})$

Band Pass or band of frequencies that has a stable voltage over a band of frequencies

$\frac{R}{L}-\frac{1}{RC}$

Provided that

$\frac{1}{RC}>\frac{R}{L}$

RC + RL Band Pass Filter

Characteristics

$\frac{V_o}{V_i}=(\frac{1}{1+j\omega RC})(\frac{j\omega \frac{R}{L}}{1+j\omega \frac{R}{L}})$

Band Pass or band of frequencies that has a stable voltage

$\frac{1}{RC}-\frac{R}{L}$

Provided that

$\frac{R}{L}>\frac{1}{RC}$

Summary

Band Pass Filter has stable voltage over a band of frequencies

$\frac{R}{L}-\frac{1}{RC}$

Provided that $\frac{1}{RC}>\frac{R}{L}$ for the LR + CR configuration

$\frac{1}{RC}-\frac{R}{L}$

Provided that . $\frac{R}{L}>\frac{1}{RC}$ for the CR + LR + configuration

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