Cell Fundamentals

    C-Rate Explained, With Worked Examples

    7 min · Cell Fundamentals

    Dr. Simon Engelke · Founder and Chair, Battery AssociatesPublished

    Key takeaways

    • C-rate expresses current relative to a cell's rated capacity, so 1C is the current that would discharge the rated capacity in one hour.
    • Duration is the reciprocal of C-rate, which is why a four-hour grid battery is a 0.25C system and a one-hour battery is a 1C system.
    • Delivered capacity falls as C-rate rises, so a cell discharged at 3C returns less energy than the same cell at 0.2C.
    • Heating scales with the square of current, which is why C-rate limits are usually thermal limits rather than electrochemical ones.
    • A cell rated for a given continuous C-rate does not give a pack that rate, because pack-level thermal, busbar and BMS constraints bind first.

    C-rate is a normalisation, nothing more. It expresses current as a multiple of the cell's rated capacity so that engineers can compare a 3 Ah cylindrical cell with a 300 Ah prismatic one without converting units in their heads every time.

    The definition: 1C is the current, in amperes, numerically equal to the rated capacity in ampere hours. A 5 Ah cell at 1C draws 5 A. The same cell at 2C draws 10 A, and at C/5 or 0.2C it draws 1 A.

    Worked examples

    CaseRated capacityCurrent or powerC-rateNominal duration
    Cylindrical cell, moderate discharge5 Ah10 A2C30 min
    Prismatic LFP cell, grid duty280 Ah70 A0.25C4 h
    Power tool pack2.5 Ah50 A20C3 min
    EV pack, motorway cruise77 kWh20 kW~0.26C~3.9 h
    EV pack, hard acceleration77 kWh300 kW~3.9C~15 min
    EV pack, 350 kW DC charge peak77 kWh350 kW~4.5Cn/a, peak only
    Grid BESS, two-hour system200 MWh100 MW0.5C2 h
    Grid BESS, frequency response20 MWh20 MW1C1 h

    Two things to take from the table.

    For packs quoted in kWh rather than Ah, dividing power in kW by energy in kWh gives the C-rate directly. A 300 kW draw from a 77 kWh pack is 300 divided by 77, which is roughly 3.9C. This works because both numerator and denominator carry the same voltage term, and it saves converting to ampere hours.

    The nominal duration column is theoretical. It assumes the full rated capacity is available at that current, which it is not.

    Why the duration never quite matches

    Delivered capacity falls as current rises. Concentration gradients build in the electrolyte and in the solid particles, ohmic and charge-transfer losses drop the terminal voltage sooner, and the cell reaches its cut-off voltage with lithium still in the anode. In lead acid this rate-capacity effect is described by Peukert's equation. In lithium-ion the effect is much smaller but still present, and the mechanism is better described by porous-electrode models of the kind Doyle, Fuller and Newman set out.

    Practical consequence: a cell rated at 5 Ah when tested at 0.2C might deliver 4.6 Ah at 3C. If a datasheet quotes capacity without quoting the test current, the number is decorative.

    Part of the missing capacity returns on rest, because concentration gradients relax. That is why a device that shuts down under load will often run again briefly after a pause.

    The connection to grid storage that usually gets missed

    In the stationary storage market, systems are sold by duration: a two-hour battery, a four-hour battery, an eight-hour battery. Duration and C-rate are reciprocals of one another, so:

    • One-hour system, 1C
    • Two-hour system, 0.5C
    • Four-hour system, 0.25C
    • Eight-hour system, 0.125C

    This matters commercially as much as technically. A four-hour system running at 0.25C keeps its cells in a gentle thermal and electrochemical regime, which is part of why phosphate cells achieve high cycle counts in that duty. A one-hour frequency-response system running at 1C, with frequent direction changes, sits in a harder regime and will show more resistance rise for the same energy throughput. When a developer compares warranty terms across durations, the C-rate difference is doing much of the work behind the numbers.

    Continuous, peak and pulse ratings

    A datasheet usually gives three current ratings and they are not variations of the same thing.

    Continuous rating is what the cell can sustain indefinitely within its temperature limits, on a defined cooling assumption. Change the cooling and the number changes.

    Peak or pulse rating applies for a stated duration, often ten or thirty seconds, from a stated starting temperature and state of charge. A 10C pulse rating means nothing without the duration and the conditions.

    Charge ratings are almost always lower than discharge ratings, and asymmetric for good physical reasons. On discharge, lithium leaves the graphite. On charge, it has to intercalate into it, and if it cannot do so fast enough it plates as metal. That asymmetry is why fast charging is limited by the anode and why charge C-rate limits tighten sharply as temperature falls.

    Typical figures by application: energy-optimised EV cells, whether NMC or LFP, sit around 1C continuous discharge, with fast-charge designs accepting 3C to 4C charge over part of the state-of-charge window and the most aggressive production cells reaching 6C or more. Grid-storage LFP cells run at 0.25C to 0.5C by design. Lithium titanate (LTO) cells charge and discharge at 5C to 10C continuous, because the anode operates near 1.55 V versus lithium and cannot plate. Power-tool and drone cells discharge at 15C to 30C, at a substantial cost in energy density.

    Heat is the real constraint

    Ohmic heat generation is proportional to the square of current multiplied by internal resistance. Doubling the C-rate roughly quadruples the ohmic heat. Add the entropic and reaction-heat terms and the total is more complex, but the square-law term dominates at high rate.

    That single relationship explains most C-rate engineering:

    Why high-rate cells have thinner electrodes, more tabs and larger current-collector cross-sections, and therefore lower specific energy.

    Why cell format matters: a large-format prismatic cell has a longer thermal path from its centre to its cooled surface than a 21700 cylindrical cell, so it develops larger internal gradients at the same C-rate, and gradients cause uneven ageing within a single cell.

    Why the C-rate a pack can sustain is almost always below what its cells could sustain in isolation. The binding constraint moves to the cooling system, the busbars, the contactors and the fuse.

    Three mistakes worth avoiding

    Confusing C-rate with power. C-rate is dimensionless, power is in watts. Two systems can both run at 0.5C and differ by three orders of magnitude in power.

    Assuming C-rate capability at cell level transfers to system level. It does not, and the gap is where most integration disappointment lives.

    Comparing cycle life figures without checking the C-rate they were measured at. A cell quoted at 4,000 cycles at 0.5C and a cell quoted at 4,000 cycles at 1C are not equivalent products, and the second one is the better cell.

    Informational and educational content only. Not professional, financial, legal, or engineering advice.

    Frequently asked questions

    What does 1C mean for a battery?

    One C is the current equal in magnitude to the cell's rated capacity. For a 5 Ah cell, 1C is 5 A, and at that current the cell would in theory discharge its rated capacity in one hour. Two C is 10 A, and 0.5C is 2.5 A.

    How do I calculate C-rate?

    Divide the current in amperes by the rated capacity in ampere hours. A 50 A discharge from a 25 Ah cell is 2C. To go the other way, multiply the desired C-rate by the rated capacity to get the current.

    Is a higher C-rate better?

    Only if the application needs power. A higher C-rate capability usually costs specific energy, because it is achieved through thinner electrodes, more current collector and more separator area. High-rate cells store less energy per kilogram than energy-optimised cells of the same chemistry.

    What C-rate is a four-hour battery?

    0.25C. Duration and C-rate are reciprocals, so a system designed to discharge over four hours operates at a quarter of its capacity per hour. A two-hour system is 0.5C and a one-hour system is 1C.

    Sources

    • IEC 62660-1:2018: Secondary lithium-ion cells for the propulsion of electric road vehicles, Part 1: Performance testing.
    • Doyle, M., Fuller, T. F. and Newman, J. (1993). Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. Journal of the Electrochemical Society, 140(6), 1526-1533. https://doi.org/10.1149/1.2221597
    • Peukert, W. (1897). Über die Abhängigkeit der Kapazität von der Entladestromstärke bei Bleiakkumulatoren. Elektrotechnische Zeitschrift, 20, 20-21.

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