Design Guides & Reference Tools

Technical reference data, industry-standard calculators, and engineering deep dives.

Power Supply Design

IPC-2221 PCB Trace Width

Required trace width for a given current and temperature rise. Based on IPC-2221B Table 6-1 empirical coefficients.

LayerWidth (mm)Width (mil)
External----
Internal----

Buck Converter — Inductor & Output Capacitor Sizing

CCM assumption. L = (Vin − Vout) × Vout / (Vin × ΔIL × fsw). Cout,min = ΔIL / (8 × fsw × ΔVout).

ParameterValue
Duty Cycle D--
Inductor Lmin--
Peak Inductor Current--
Ripple Current ΔIL--
Output Cap Cout,min--

MOSFET Power Loss

Hard-switched model. Pcond = Id² × Rds(on). Psw = ½ × Vds × Id × (tr + tf) × fsw. Pgate = Qg × Vgs × fsw.

Loss ComponentPower
Conduction Pcond--
Switching Psw--
Gate Drive Pgate--
Total Ptotal--

Basic Circuit Analysis

Ohm's Law / Power

Enter any two known values; the remaining two are calculated. V = IR, P = IV.

RC Filter — Cutoff Frequency & Time Constant

fc = 1 / (2π R C). τ = R C. −3 dB point for both low-pass and high-pass RC filters.

ParameterValue
Cutoff Frequency fc--
Time Constant τ--
Attenuation @ 10× fc--
Attenuation @ 100× fc--

Resistive Voltage Divider

Vout = Vin × R2 / (R1 + R2). Unloaded. Quiescent current flows from Vin through R1 + R2 to GND.

ParameterValue
Vout--
Divider Ratio--
Quiescent Current--

Timing & Resonance

LC Resonant Frequency

f₀ = 1 / (2π √(LC)). Used for filter design, tank circuits, and resonant converter switching frequency selection.

ParameterValue
Resonant Frequency f₀--
Angular Frequency ω₀--

555 Timer — Astable Mode

f = 1.44 / ((R1 + 2·R2)·C). Duty cycle = (R1 + R2) / (R1 + 2·R2). Duty cycle is always > 50% in standard astable configuration.

ParameterValue
Frequency--
Duty Cycle--
Period--
tHIGH--
tLOW--

RF & Signal

dBm ↔ mW ↔ Vrms Converter

Enter dBm, mW, or Vrms — the others are calculated. Vrms assumes a purely resistive load at Z₀.

ParameterValue
Power (dBm)--
Power (mW)--
Power (W)--
Vrms into Z₀--
Vpp (sine)--

π / T Attenuator Designer

Symmetric matched attenuator (Zin = Zout = Z₀). π: two shunt resistors (R1=R3) + one series resistor (R2). T: two series (R1=R3) + one shunt (R2).

π Network
ComponentValue
R1 = R3 (shunt, Ω)--
R2 (series, Ω)--
T Network
ComponentValue
R1 = R3 (series, Ω)--
R2 (shunt, Ω)--

Analog Discrete

BJT Common-Emitter — Voltage Divider Bias

VB = VCC × R2/(R1+R2). VE = VB − 0.7 V. IC ≈ VE/RE. Stability requires R1∥R2 ≤ β·RE/10.

ParameterValue
VB (base)--
VE (emitter)--
IC (collector)--
VC (collector)--
VCE--
Bias stability--

Zener Shunt Regulator

RS = (VS − VZ) / (IZ,min + IL,max). Designed for worst-case: minimum supply voltage, maximum load current.

ParameterValue
Series Resistor RS--
IZ,max (at IL=0)--
PZ,max (zener dissipation)--
PRS (resistor dissipation)--

Reference Tables

Creepage & Clearance Matrix

IEC 62368-1 / 60950-1 — Pollution Degree 2, Material Group IIIb.

Working Voltage (RMS/DC)Clearance (mm)Creepage (mm)
≤ 50 V0.21.2
≤ 150 V1.51.6
≤ 300 V2.03.2
≤ 600 V3.26.3
≤ 1000 V4.210.0

AWG Wire Ampacity (Chassis Wiring)

NEC Table 310.15 chassis wiring. Derate 50% for bundled cables or elevated ambient.

AWGØ (mm)Max AΩ/km
102.588553.28
122.053415.21
141.628328.29
161.2912213.2
181.0241620.9
200.8121133.3
220.644752.9
240.5113.584.2

Technical Glossary

SFDR (Spurious-Free Dynamic Range)

The ratio (dB) of the fundamental signal amplitude to the largest spurious component in the bandwidth of interest. Determines the usable dynamic range of a converter in the presence of interference.

ENOB (Effective Number of Bits)

Practical bit resolution accounting for all noise and distortion, derived from SINAD: ENOB = (SINAD − 1.76) / 6.02. A 16-bit ADC with poor layout may achieve only 12–13 ENOB.

Baud Rate vs Bit Rate

Baud rate is symbol changes per second; bit rate equals baud rate × bits-per-symbol. A 1 MBd 16-QAM link carries 4 Mbps. They are equal only for binary (1 bit/symbol) encoding.

Nyquist Frequency

The maximum representable frequency in a sampled system, equal to half the sample rate (f_s/2). Signals above this alias back into the baseband — requiring an anti-aliasing filter prior to the ADC.

Quantization Noise

The rounding error introduced when a continuous signal is mapped to a finite set of discrete levels. For a uniform N-bit ADC with a full-scale input, the theoretical SNR ≈ 6.02N + 1.76 dB.

Rds(on)

Drain-to-source resistance of a MOSFET in the fully enhanced state. Dominates conduction loss (P = I²·Rds(on)) and increases approximately proportionally to (T_J/25°C)^2.3 for Si devices.

Creepage vs Clearance

Clearance: shortest path through air between conductors — guards against flashover. Creepage: shortest path along the insulator surface — guards against tracking. Creepage ≥ Clearance always.

Reverse Recovery Time (Trr)

Time for a bipolar diode to sweep out stored minority charge after commutation from forward to reverse bias. Causes a momentary reverse current spike; negligible in Schottky and SiC diodes due to majority-carrier conduction.

ESL (Equivalent Series Inductance)

Parasitic inductance of a physical capacitor. Above the self-resonant frequency (SRF = 1/2π√(LC)), the capacitor appears inductive. MLCC packages (0402, 0201) minimize ESL for high-frequency decoupling.

Dead Time

Intentional overlap period in complementary gate drive signals during which both switches are off. Required to prevent shoot-through; minimum dead time = max(t_off,HS, t_off,LS) plus margin.

Volt-Second Balance (Inductor)

In steady-state, the net volt-seconds applied across an inductor over one switching period must be zero. This constraint directly determines the duty cycle in all switched-mode converter topologies.

Phase Noise

A measure of frequency stability, expressed in dBc/Hz at a specified offset from the carrier. It is the single-sideband noise power in a 1 Hz bandwidth relative to the carrier power. Dominates timing jitter in high-speed clocking and RF systems.

Engineering Articles & Guidelines

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