Fraso / nomograms

Electronics

RC time constant

Resistance and capacitance against the time constant they set.

A rc time constant nomogram: three vertical scales, R (1 to 1000) on the left, τ (0.01 to 1×10⁵) in the middle and C (0.01 to 100) on the right. A straight line laid across any two scales cuts the third at the value that satisfies τ = R · C.100070050030020014010070503020141075321.41R1005030201053210.50.30.20.10.050.030.020.01CµF1×10⁵5000020000100005000200010005002001005020105210.50.20.10.050.020.01τms

Readings

µF
ms

Drag the red line, or type into any two boxes — the third is solved. The marked box is the one being solved for.

Print at 100% scale, then check the 100 mm bar with a rule before trusting a reading.

Why this one is an instrument

Picking an RC pair is a search, not a sum. You have a time constant in mind and a drawer of preferred values, and you need the pair that lands nearest while keeping the resistor in a sensible range for the impedance around it. Sweeping the line along the τ scale shows every workable pair at once.

Equation
τ = R · C
Constants
R in kΩ, C in µF, τ in ms
Ranges
R 1–1000 kΩ · C 0.01–100 µF
Reading
Any two values fix the third. Outside the printed ranges the instrument stops being valid — that is what the end marks are for.

These are drawn from the stated equation and nothing else. Where an equation is itself an approximation — hyperfocal distance and tap drill sizes both are — the instrument inherits that approximation exactly, no better and no worse.