RF Design
DC Block
Two amplifier stages running at different drain voltages need to exchange an RF signal without shorting their bias supplies together. The solution is a series capacitor: infinite impedance at DC, near-zero impedance at RF. It sounds trivial until you realize the capacitor has parasitic inductance that turns it into a resonator, a self-resonant frequency above which it stops being a capacitor entirely, and a physical size that disrupts the transmission line impedance. Choosing the right DC block means balancing capacitance (for low-frequency coverage), package size (for high SRF), and layout (for maintained 50 Ω match).
Selecting the Right Capacitor for Your Frequency
Minimum capacitance (for XC < Z0/10):
Cmin = 1 / (2π × flow × Z0/10)
= 10 / (2π × flow × 50) for 50 Ω systems
Self-resonant frequency:
SRF = 1 / (2π√(C × ESL))
Insertion loss from reactance mismatch:
IL ≈ 20·log10(1 + XC²/(4Z0²)) ≈ XC²/(4Z0²) × 8.686 dB (for XC << Z0)
Cmin = 1 / (2π × flow × Z0/10)
= 10 / (2π × flow × 50) for 50 Ω systems
Self-resonant frequency:
SRF = 1 / (2π√(C × ESL))
Insertion loss from reactance mismatch:
IL ≈ 20·log10(1 + XC²/(4Z0²)) ≈ XC²/(4Z0²) × 8.686 dB (for XC << Z0)
Capacitor Package vs. SRF and Frequency Coverage
| Package | Typical C | ESL | SRF | Usable Range | Application |
|---|---|---|---|---|---|
| 0402 (100 pF) | 100 pF | ~0.4 nH | ~2.5 GHz | 10 MHz to 2 GHz | Sub-6 GHz signal chain |
| 0402 (10 pF) | 10 pF | ~0.4 nH | ~8 GHz | 100 MHz to 7 GHz | C-band, X-band |
| 0201 (1 pF) | 1 pF | ~0.15 nH | ~13 GHz | 500 MHz to 12 GHz | X/Ku-band MMIC |
| 0201 (0.3 pF) | 0.3 pF | ~0.15 nH | ~24 GHz | 2 GHz to 22 GHz | K-band, 5G FR2 |
| Coaxial (SMA) | Internal | Minimal | 18 to 26 GHz | 10 MHz to 18 GHz | Test equipment, bench |
Common Questions
Frequently Asked Questions
How large should the blocking capacitor be?
XC must be < Z0/10 at the lowest frequency. For 50 Ω at 100 MHz: Cmin = 318 pF. At 1 GHz: 32 pF. At 10 GHz: 3.2 pF. But larger caps have lower SRF, so choose the smallest value that satisfies the low-frequency requirement.
What happens above the SRF?
The capacitor becomes inductive (impedance rises with frequency). The DC block turns into a band-reject filter. A 100 pF 0402 has SRF ~2.5 GHz; above that, it attenuates the signal. Use smaller capacitors (lower C, higher SRF) or parallel multiple values for broadband coverage.
Coaxial vs. chip DC blocks?
Coaxial DC blocks (SMA, N, 2.92 mm) have controlled impedance transitions for better match. Inner-only types block DC on the center conductor. Inner-outer types isolate both conductors for different ground potentials between sides.
See Also