RF Circuit Designer's Notes

Little nuggets of RF/analog circuit theory and design. Learn with me about PLLs, Q, noise, oscillators, filters, digital receiver concepts, etc.

Friday, October 27, 2006

Capacitor Selection for DC blocking

Richard Fiore of ATC wrote a good article about how to choose capacitors for DC blocking and bypassing applications. It originally appeared in the May 2001 issue of Applied Microwave and Wireless. The pdf (1.2 MB) is here and a similar web-friendly article is here.

The most surprising thing that I learned was that capacitors can be used in DC blocking or coupling applications even at frequencies above their series resonant frequency. The key point is making sure the magnitude of the impedance should be low to minimize insertion loss at the frequencies or band of operation.

A real capacitor can be modeled as with as series RLC circuit with Cp in parallel with the RL segment. The R represents the ESR and L is the parasitic inductance. As frequency increases, Xc decreases until reaching the series resonance frequency of L and C. At Fsr, the reactances cancel out and Xc only has a real component equal to the ESR. The plot of Xc vs. frequency shows a null, the depth of which depends on the ratio of the reactance at Fsr to ESR.

Above Fsr, Xc increases because the capacitor is now acting as an inductor. Eventually this parasitic inductance will resonant with the parasitic capacitance, Cp. At Fpar, Xc will peak. The peak impedance magnitude depends on the Q of the parallel tank circuit formed by L, Cp and R=ESR. Qpar=2*pi*Fpar*L/ESR. This peak will produce nulls in the insertion loss. Using the capacitor at Fpar may be acceptable depending on the depth of these nulls and application.


One final note is that the phase of the impedance will change abruptly at Fsr and Fpar. This is a consideration for phase sensitive applications in which the group delay must be constant within the signal bandwidth.

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