Back to Basics: Crystals and Damping Resistors

Continuing from the last post, one key element that one of my readers pointed out was the addition of an extra resistor at the output of the Pierce oscillator driver circuit in a uC. It’s a damping resistor and this is something which is not explained in a few newer datasheets and is usually ignored.

A damping resistor is needed primarily to adjust the Drive power of a crystal. Every good crystal manufacturer would add the maximum drive level in its datasheet. This is the maximum power(usually in microwatts) at which the crystal can be driven without damaging it permanently. To measure the driven level, you need to measure the current waveform to a crystal but Measuring this is a hard thing to do in the circuit. One method is to connect another know test resistance and measure the voltage difference with a differential probe to measure current. After the current is measured, test resistance is shorted out from the circuit. This is useful in SMD parts with no space. Another way is to measure it with a current probe in one of the traces. It’s expensive and hard to do on SMD parts so it’s preferred for thru-hole crystals with a probe connected around one of the legs of the crystal.

Once the RMS current to the crystal is measured, power is the squared multiplication of this current and the ESR(mentioned in the crystal’s datasheet). This power should not exceed the max value mentioned. If it does, you can try reducing the drive voltage from the uC(By adjusting the gain of the oscillator) or you add a resistor in series. The usual starting value of this damping resistor is equal to the impedance of external load capacitance(at the crystal freq) as mentioned in the figure. Using a normal voltage divider, you will see the drive will be reduced by half. Keep in mind that adding the resistor can add any additional phase shift to the oscillator circuit so you would want to double-check the crystal frequency once again in the circuit. For digital uCs these days, drive values from the Xout pin are set very low and hence you don’t see them in most datasheets.

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Audio-Technica Headphone Teardown

One of my daily driver Audio Technica wired headphones was acting up. Opened it up and it was a simple fix. Nothing much to write home about. Found a loose wire which was fixed by adding a bit more solder and reattaching it. Works well now. The Internals of any wired headphones are mostly the same. They contain a driver/speaker on both ear lobes and are driven via extremely thin wires. The diameter of the driver here is 36mm. Nothing too fancy.

Now how do headphones actually work? The headphone dynamic driver consists of three major parts: A permanent magnet, a voice coil(electromagnet) and a diaphragm. When an audio signal(electric waveform) is fed into the voice coil, it gets attracted/repelled by the static magnetic field. These coils are usually glued onto a thin diaphragm which moves back and forth to displace the air. This creates the sound you hear from the headphones. This concept of a driver hasn’t changed in over 100 years. In the olden days, they used to have metallic diaphragms(Different from the plastic ones we have now) and strong electromagnets driven by the signal. The thicker diaphragms will need more power to move but the basic principle remains the same.

Headphones can have driver sizes from 20mm – 50mm. The driver sizes just mention the diameter of the static magnet. Marketing folks of companies have a field day trying to make you believe that the bigger driver diameter means better headphones. That’s not the case(Think earphones. They have driver sizes of 8mm-10mm). Bigger drivers mean that it can potentially displace more air. ie) It can produce more sound or can be louder. This doesn’t necessarily translate to an overall better quality sound. The sound quality of headphones is determined by the driver along with with the diaphragm quality and even the padding used in the headphones. It’s an overall system property. All of these determine the range of sound frequencies your headphone can faithfully reproduce in your ear.

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