TF EIMLab6 Writeup

Lab 6 Pulses and RC Filters

Differentiator

1.) Adjust the pulse generator to output square pulses which at [math]\tau[/math] sec in time.

Possible capacitors

[math]C_1 = 1 \times 10^{-6} F[/math]

[math]C_2 = 10.27 \times 10^{-12} F[/math]

Possible Resistors

[math]R_1 = 1 \times 10^3 \Omega[/math]

[math]R_2 = 14 \times 10^{3} \Omega[/math]

[math]R_1 C_1 = \tau_1 = (1 \times 10^3 \Omega ) (1 \times 10^{-6} F )= 0.001[/math] s

[math]R_1 C_1 = \tau_2 = (14 \times 10^{3} \Omega)(10.27 \times 10^{-12} F )= 1.46 \times 10^{-5}[/math]

[math]\omega_1 = 100 rad/sec \Rightarrow \nu_1 = 100/2\pi = 16 Hz[/math]

[math]\omega_2 = 68,291 rad/sec \Rightarrow \nu_2 = 10,868 Hz[/math]

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2.)Construct the circuit below selecting an RC combination such that RC [math]\approx[/math] 1/10

3.)Measure[math] V_{in}[/math] and [math]V_{out}[/math]. Sketch a picture comparing[math] V_{out}[/math] and [math]V_{in}[/math].

4.) Change the pulse width such that [math]RC = \tau[/math]

5.)Measure[math] V_{in}[/math] and [math]V_{out}[/math].Sketch a picture comparing[math] V_{out}[/math] and [math]V_{in}[/math].

6.) Change the pulse width such that[math] RC = 10 \tau[/math]

7.)Measure [math]V_{in} and V_{out}[/math].Sketch a picture comparing[math] V_{out}[/math] and [math]V_{in}[/math].

Questions

1.) What happens if than amplitude of [math]V_{in}[/math] is doubled.

2.) What happens if R is doubled and C is halved?

Integrator

To illustrate the integrator circuit we need to have an input pulse which looks like the output of the above differentiator circuit. In other words, input a pulse whose output is obviously the integral of the input pulse.

Forest_Electronic_Instrumentation_and_Measurement