Class Activity (Week 8)

     This week an integrator op-amp was ..... The output of an integrator op-amp is proportional to the

integral of its input signal.  Vout = (-1/RC) ∫Vin dt

Figure 1: An Integrator Op-amp Circuit

Figure 2: Input and Output Waveform of an Integrator Op-amp

The output of a differentiator op-amp circuit is proportional to the rate of change of its input signal.

Vout = - RC (dVin / dt)

Figure 3: An Differentiator Op-amp Circuit 

Figure 4: A Schematic of an Integrator and Differentiator Op-amp

Figure 5: Input and Output Wave Forms Of Op-amps

Figure 6: Input and Output of an Differetiator Op-amp

Also unit step, unit impulse, and unit ramp function is verified.

Figure 7: The Current of a Capacitor 

U(t) = 0 , t < 0. U(t) = 1 , t > 0. U(t) is undefined at t = 0.

The unit impulse function is derivative of the unit step function δ(t) .

δ(t) = 0 , t < 0 and t > 0. δ(t) is undefined at t = 0. 

R(t) = 0 , t < 0. R(t) = t, t ≥ 0.  

U(t) = dr(t) / dt , δ(t) = du(t) / dt

Figure 8: Response of a Capacitor Voltage and Capacitor Current to a Unit Step function