Electronics Fundamentals/Electronic Filter/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
 * $$\frac{1}{RC} > \frac{R}{L} $$

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