Signal Processing

Voltage Divider

Our old Friend


Voltage Divider

But what if $V_{in}$ is a time varying function, like $$V_{in}(t) = \sin{\omega t}$$

Voltage Divider

Now, we replace the lower resistor, $R_2$ with a capacitor.


Voltage Divider

And what happens if instead we feed a time varying signal to the circuit.

It all depends on the ratio of $t/\tau$.

Low-Pass Filter

Voltage Divider
Filter Response
Bode Plot

Cutoff Frequency $$f_c = \frac{1}{2 \pi R C}$$

Applications

Audio

Data

Visual

General Analogs