Battery knowledge · Capacity, energy, power and ratings

Resistance–capacity product

A cell’s internal resistance multiplied by its capacity, which cancels out size: ten 5 Ah, 20 mΩ cells in parallel make 50 Ah at 2 mΩ, both 100 mΩ·Ah. Lower values mean more power per unit of stored energy. Conductance divided by energy, in siemens per watt-hour, expresses the same figure of merit the other way up.

Also called
ohm-ampere-hour, mΩ·Ah, siemens per watt-hour, S/Wh
Unit
mΩ·Ah
Relationship
R·Q (mΩ·Ah); G/E = 1/(R·E) (S/Wh)

Example

Compare two cell sizes

A 5 Ah cell with 20 mΩ resistance and a 10 Ah cell with 10 mΩ resistance both have RQ = 100 mΩ·Ah. Compare like test conditions; identical RQ does not imply identical chemistry or thermal behavior.

Explore the graph

Identical parallel cells reduce resistance while adding capacity.

Resistance decreases with parallel count
Resistance decreases with parallel countIdentical cells in parallel versus Resistance (mΩ). Equivalent resistance. Interpretation follows the graphs.0155.751010.51515.32020Identical cells in parallelResistance (mΩ)
Equivalent resistance
The capacity-normalized product
The capacity-normalized productIdentical cells in parallel versus Resistance × capacity (mΩ·Ah). R × Q. Interpretation follows the graphs.01305.756010.59015.312020Identical cells in parallelResistance × capacity(mΩ·Ah)
R × Q

R × Q remains 100 mΩ·Ah. Ten parallel cells give 2 mΩ and 50 Ah.

R_parallel = R_cell/N; Q_parallel = N Q_cell; R_parallel Q_parallel = R_cell Q_cell

Illustrative model. Only integer cell counts represent packs; lines show the scaling trend between them. Series resistance of busbars and joints is omitted.

Use in Lemonergy

Separate nameplate ratings from test results.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

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.