Battery knowledge · Capacity, energy, power and ratings

Ideal duration

t = 1 / C-rate: how long a constant current would take to transfer the full nominal capacity. A definition, not a prediction of real runtime. [1]

Unit
h
Relationship
t = 1 / C-rate

Example

Estimate an ideal duration

At 0.5C, an ideal full-capacity constant-current discharge takes 1 / 0.5 = 2 h. A real discharge can end earlier at its voltage limit; CC-CV charging includes a taper and does not follow this duration alone.

Explore the graph

A C-rate becomes an actual current only when capacity is known.

Ideal remaining charge
Ideal remaining chargeTime (h) versus Remaining charge (Ah). 1C. Interpretation follows the graphs.001.2512.523.75354Time (h)Remaining charge (Ah)
1C

5 Ah × 1C = 5 A. Ideal duration: 1 h (60 min).

I = Q × C-rate; t_ideal = 1 / C-rate

Illustrative model. Voltage cutoff, losses, temperature and rate-dependent capacity are excluded.

Use in Lemonergy

Lemonergy Core equation

Compare ideal duration

Lemonergy Core evaluates this relation.

Equation or tool to use

  1. ideal_duration_hours

    Core equation

    Inputs & settings
    • Positive C-rate

This overview identifies the components to use. Follow the example in Lemonergy for their connections and settings.

  1. Open the lesson and inspect the equation.
  2. Change one input while holding the others fixed.

Example. At 0.5C ideal full-capacity duration is 2 h; at 2C it is 0.5 h.

Observe. Compare the result with the equation and units.

This excludes CV taper, cutoff, rate-dependent capacity and rest.

Open the worked lesson →

Learn it in Lesson 2 · Capacity and C-rate →

References & further reading

Technical references

  1. DOE Energy Storage Handbook, Chapter 16: Energy Storage Performance Testing

    Sandia National Laboratories

    Technical reference · Section 2.1.2.1 explains capacity, C-rate and the distinction between capacity and energy; also covers pulse characterization.

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. The International System of Units (SI), 9th edition

    Bureau International des Poids et Mesures · 2026

    Topic background · Definitions of SI units and coherent derived units; 2026 revision.

  2. Battery Test Manual For Electric Vehicles, Revision 3

    Jon P. Christopherson · Idaho National Laboratory · 2015

    Topic background · Performance characterization, pulse resistance/power, life testing and reference performance tests; historical 2015 edition.