For the following network to work as lag compensator, the value of R₂ would be

Lag compensator:

Transfer function:

If it is in the form of , then a < 1

If it is in the form of , then a > b

Maximum phase lag frequency: 

Maximum phase lag: 

ϕm is negative

Pole zero plot:

The pole is nearer to the origin.

Filter: It is a low pass filter (LPF)

Effect on the system:

• Rise time and settling time increases and Bandwidth decreases
• The transient response becomes slower
• The steady-state response is improved
• Stability decreases

Application:

The equivalent Laplace transform network for the given network is,

By applying voltage division,

The above system to be lag compensator, β > 1

⇒ R₁ > 0

Therefore, at any value of R₂ the given system acts as lag compensator.