How to Design an RC Circuit to Smooth a PWM Signal

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    • 1). Select a capacitor value with which you'd like to work. For example, you can arbitrarily choose 1 nanofarad.

    • 2). Calculate the value of the resistor in the lowpass filter. Use the following formula:

      R = 1 / (2 x pi x C x Fp) where R is the resistor's value in ohms, pi is 3.1416, C is capacitance in farads and Fp is the pulse's frequency in hertz. If the capacitance is 1 nanofarad and the frequency is 100,000Hz, then resistance works out to 1,600 ohms.

    • 3). Compare the calculated resistance value to the available EIA E24 standard resistor values. Since 1,600 ohms, or 1.6K ohms, is already a standard value, you can use that. Otherwise, use the next closest value resistor.

    • 4). Sketch the RC lowpass filter circuit. Draw the horizontal zigzag symbol for the resistor. Connected to the resistor, draw a short horizontal line. Two inches underneath, draw a parallel line as long as the resistor and top line. Connect a vertical capacitor symbol between the two parallel lines.

    • 5). Label the resistor on the sketch with the resistance value you calculated, and the capacitor with the capacitance value you chose.

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