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Calcimator

Battery C-Rate Calculator

Calculate charge and discharge time from battery C-rate.

About this calculator

C-rate is battery engineering's standard shorthand for how fast a battery is charged or discharged relative to its own capacity, and it's defined so the math always normalizes to the battery's size: 1C means a current, in amps, numerically equal to the battery's capacity in amp-hours -- discharging a 100 Ah battery at 1C draws 100 A and empties it in exactly one hour (ignoring real-world efficiency losses). Discharging at 0.5C draws half that current (50 A for a 100 Ah battery) and takes twice as long, two hours; discharging at 2C draws double the current and, in principle, empties the battery in 30 minutes. This calculator applies that relationship directly: Discharge Current = capacity x C-rate, and Discharge Time = 1 / C-rate in hours, with the same relationships for charging using a separate Charge C-Rate, since batteries commonly charge more conservatively than they discharge (a lithium pack might safely discharge at 1C but only charge at 0.5C to limit heating and preserve cycle life).

Power is current times voltage, so Discharge Power and Charge Power scale with both the C-rate AND the pack's nominal voltage -- a 48V pack drawing the same current delivers twice the power of a 24V pack at the same C-rate. Total Energy (capacity x voltage, in watt-hours) is independent of C-rate entirely, since it describes how much energy the battery holds, not how fast that energy is being moved. Real batteries lose some usable capacity at high C-rates (a phenomenon called the Peukert effect, most pronounced in lead-acid chemistries and much smaller in modern lithium cells) -- this calculator's linear current-time relationship is the idealized case, not a substitute for a manufacturer's actual discharge-rate capacity curve.

Inputs

Ah
V
C
C

Results

Discharge Current

50 A

Discharge Time

2 hrs

Discharge Power2,400 W
Charge Current30 A
Charge Time3.33 hrs
Total Energy4,800 Wh
Charge Power1,440 W
How to Use This Calculator
  1. Enter Battery Capacity, Nominal Voltage, and Discharge C-Rate.
  2. Set Charge C-Rate.
  3. Review Discharge Current (A) and Discharge Time (hrs).
  4. Use Discharge Power (W) and Charge Current (A) to inform your decision.
  5. Check Total Energy (Wh) for the pack's total stored energy and Charge Time (hrs) for how long a full charge takes.
  6. Use the chart to compare charge and discharge current, time, and power at a glance.

How the result changes with Battery Capacity

Battery CapacityDischarge CurrentDischarge Time
5025 A2 hrs
7537.5 A2 hrs
15075 A2 hrs
250125 A2 hrs

What each input means

Battery Capacity
Battery capacity in amp-hours.
Nominal Voltage
Nominal battery pack voltage.
Discharge C-Rate
Discharge C-rate (1C = discharge in 1 hour).
Charge C-Rate
Charge C-rate (0.5C = charge in 2 hours).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Battery Capacity = 100, Nominal Voltage = 48, Discharge C-Rate = 0.5, Charge C-Rate = 0.3 = 4 input(s) provided
  2. Calculate Discharge Current
    Discharge Current
    50 = 50
  3. Calculate Discharge Time
    Discharge Time
    2 = 2
  4. Calculate Discharge Power
    Discharge Power
    2400 = 2400
  5. Calculate Charge Current
    30 = 30

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What does '1C' actually mean for a battery?

It means a charge or discharge current, in amps, numerically equal to the battery's capacity in amp-hours -- for a 100 Ah battery, 1C is 100 A. It's a capacity-relative shorthand specifically so the same "1C" label means "empties in one hour" regardless of whether the battery is a small 10 Ah pack or a large 1,000 Ah bank. Fractional and multiple C-rates scale from there: 0.5C is half that current (and roughly double the time), 2C is double that current (and roughly half the time).

Why is my Charge C-Rate lower than my Discharge C-Rate?

Because many battery chemistries, lithium-ion especially, tolerate discharge current better than charge current of the same magnitude -- charging faster generates more internal heat and stress and can accelerate capacity fade or, in extreme cases, create safety risks, so manufacturers commonly rate a lower maximum charge C-rate than discharge C-rate for the same cell. This calculator lets you set Discharge C-Rate and Charge C-Rate independently for exactly this reason -- most real battery packs are not symmetric between the two directions.

Why does Discharge Power depend on voltage, not just C-rate?

Because power is current multiplied by voltage, and C-rate alone only determines current (relative to capacity) -- it says nothing about voltage. Two battery packs with identical capacity and C-rate but different nominal voltages will draw the same current but deliver very different power: a 48V pack delivers twice the power of an otherwise identical 24V pack at the same C-rate, since power scales directly with voltage for a fixed current.

Will a battery really discharge fully in exactly 1/C-rate hours in real use?

Approximately, but not exactly -- this calculator's Discharge Time uses the idealized relationship time = 1/C-rate, which assumes the battery delivers its full rated capacity regardless of how fast it's drained. Real batteries, especially lead-acid chemistries, deliver somewhat less usable capacity at high discharge rates (the Peukert effect), so actual runtime at a high C-rate can be shorter than this simple formula predicts. Lithium-ion cells are much less affected by this than lead-acid, but manufacturer discharge curves are the authoritative source for a specific cell.

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