Practical Electronics/T Network

Intro
A network consist of three resistors connected like a T

Analysis

 * $$V = V_i \frac{R_2}{R_2+R_1} = V_o \frac{R_2}{R_2+R_3}$$
 * $$V_o = V_i \frac{R_3+R_2}{R_1+R_2}$$

Formula

 * $$V_o = V_i \frac{R_3+R_2}{R_1+R_2}$$

Choosing Resistance's Value

 * R2 = 0
 * The fomula above now becomes
 * $$V_o = V_i \frac{R_3}{R_1}$$
 * R3 > R1, Vo > V1 . This network acts as Voltage Amplifier
 * R3 = R1, Vo = V1 . This network acts as Voltage Follower
 * R3 < R1, Vo < V1 . This network acts as Voltage Attenuator


 * R3 = 0
 * The fomula above now becomes
 * $$V_o = V_i \frac{R_2}{R_2+R_1}$$


 * This network acts as Voltage Attenuator


 * R1 = 0
 * The fomula above now becomes
 * $$V_o = V_i \frac{R_3 + R_2}{R_2}$$


 * This network acts as Voltage Amplifier 1 + $$\frac{R_3}{R_2}$$

Summary
This network can be used as Voltage Amplifier, Voltage Follower, Voltage Attenuator by choosing the right value for the resistors