TF EIMLab6 Writeup

Lab 6 Pulses and RC Filters

Differentiator

1.) Adjust the pulse generator to output square pulses which at $\tau$ sec in time.

Possible capacitors

$C_1 = 1 \times 10^{-6} F$

$C_2 = 10.24 \times 10^{-9} F$

Possible Resistors

$R_1 = 1 \times 10^3 \Omega$

$R_2 = 14.35 \times 10^{3} \Omega$

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

$R_1 C_1 = \tau_2 = (14.35 \times 10^{3} \Omega)(10.24 \times 10^{-9} F )= 1.46 \times 10^{-4}$

$\omega_1 = 100 rad/sec \Rightarrow \nu_1 = 100/2\pi = 16 Hz$

$\omega_2 = 6805 rad/sec \Rightarrow \nu_2 = 1083 Hz$

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$R_1 C_1 =10 \tau_2 = 1460 \mu s$

$R_1 C_1 =10 \tau = 1.460$ms	$R_1 C_1 =\tau = 146 \mu s$	$R_1 C_1 =\tau/10 = 14.6 \mu s$

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

3.)Measure$V_{in}$ and $V_{out}$. Sketch a picture comparing$V_{out}$ and $V_{in}$.

4.) Change the pulse width such that $RC = \tau$

5.)Measure$V_{in}$ and $V_{out}$.Sketch a picture comparing$V_{out}$ and $V_{in}$.

6.) Change the pulse width such that$RC = 10 \tau$

7.)Measure $V_{in} and V_{out}$.Sketch a picture comparing$V_{out}$ and $V_{in}$.

Questions

1.) What happens if than amplitude of $V_{in}$ 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