Via Resistance Formula:
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Via resistance refers to the electrical resistance of a plated through-hole (via) in a printed circuit board (PCB). It's determined by the via's dimensions and the resistivity of the plating material (typically copper).
The calculator uses the via resistance formula:
Where:
Explanation: The resistance increases with higher resistivity and longer vias, and decreases with larger via diameters.
Details: Calculating via resistance is crucial for high-speed and high-frequency PCB designs where even small resistances can affect signal integrity and power distribution.
Tips: Enter resistivity in Ω·m (1.68×10⁻⁸ for copper), length and diameter in meters. All values must be positive numbers.
Q1: What's the typical resistivity of copper?
A: Pure copper at 20°C has ρ ≈ 1.68×10⁻⁸ Ω·m. PCB plating may have slightly higher resistivity due to impurities.
Q2: How does via resistance affect PCB design?
A: High via resistance can cause voltage drops, signal degradation, and heating in power distribution networks.
Q3: What's a typical via diameter?
A: Common via diameters range from 0.2mm to 0.5mm (0.0002m to 0.0005m).
Q4: Does this account for the annular ring?
A: No, this calculates resistance of the barrel only. Contact resistance at pads is additional.
Q5: How to reduce via resistance?
A: Use larger diameter vias, shorter board thickness, or multiple parallel vias for critical connections.