Battery C-Rate and Discharge Time Calculator

Find a battery's C-rate from discharge current and capacity, and the resulting discharge time, with a chart of the inverse relationship between them.

⏱️ Battery C-Rate and Discharge Time Calculator
Battery capacity
Ah
0.1300
Discharge current
A
0.1300
C-rate
—
Discharge time
—
Discharge time (minutes)
—

⏱️ What is Battery C-Rate?

C-rate expresses a battery's charge or discharge current relative to its rated capacity, a current equal to the amp-hour rating is 1C, and it directly determines how long a full discharge (or charge) takes, since discharge time is simply the reciprocal of C-rate.

Engineers use this constantly, to size a battery for a required runtime at a known load current, to check whether a discharge current stays within a cell's safe rated C-rate, to compare how quickly different battery capacities discharge at the same current, and to specify appropriate charging currents for fast-charging applications.

A common misconception is that doubling discharge current only somewhat shortens runtime. It doesn't, because discharge time is the reciprocal of C-rate, doubling the current exactly halves the discharge time, this hyperbolic 1/C relationship is a sharper tradeoff than many people expect.

This calculator computes C-rate and discharge time from your battery capacity and discharge current, and plots the full discharge time versus C-rate curve so you can see how sharply runtime drops as current increases.

📐 Formula

C = I / Ah     t = Ah / I = 1 / C
I = discharge current (A)
Ah = rated battery capacity (amp-hours)
t = discharge time (hours)
Example: Ah=2, I=2 A → C=1.000C, t=1 hour.

📖 How to Use This Calculator

Steps

1
Enter battery capacity. Type the battery's rated capacity in amp-hours.
2
Enter discharge current. Type the current at which the battery is being discharged.
3
Read the C-rate and discharge time. The calculator reports the resulting C-rate and discharge time, and plots the inverse relationship between them.

💡 Example Calculations

Example 1 — 1C Discharge

Ah=2, I=2 A

1
C = 2/2 = 1.000C
2
t = 2/2 = 1 hour
Discharge time = 60 minutes
Try this example →

Example 2 — Slow 0.2C Discharge

Ah=50, I=10 A

1
C = 10/50 = 0.200C
2
t = 50/10 = 5 hours
Discharge time = 300 minutes
Try this example →

Example 3 — Fast 2.5C Discharge

Ah=10, I=25 A

1
C = 25/10 = 2.500C
2
t = 10/25 = 0.4 hours
Discharge time = 24 minutes
Try this example →

❓ Frequently Asked Questions

What is C-rate in batteries?+
C-rate expresses charge or discharge current relative to a battery's rated capacity. A current equal to the battery's amp-hour rating is 1C, twice that current is 2C, and half that current is 0.5C, so C-rate = current (A) / capacity (Ah).
How do you calculate discharge time from C-rate?+
Discharge time in hours is the reciprocal of C-rate: t = 1/C. Equivalently, t = capacity (Ah) / current (A). A 1C discharge takes 1 hour, a 2C discharge takes 0.5 hours (30 minutes), and a 0.5C discharge takes 2 hours.
Why is discharge time inversely proportional to C-rate, not linear?+
C-rate is itself defined as current divided by capacity, so as current (and therefore C-rate) increases, the same fixed amount of stored charge is delivered in proportionally less time. Doubling the discharge current always halves the discharge time, which is exactly the 1/C hyperbolic relationship.
What is a typical safe C-rate for a lithium-ion battery?+
Most consumer lithium-ion cells are rated for continuous discharge between 1C and 3C, with some high-power cells rated up to 10C or higher, and specialized cells even higher. Exceeding a cell's rated C-rate risks excessive heat, voltage sag, and accelerated degradation.
Does a battery deliver its full rated capacity at any C-rate?+
Not exactly, real batteries deliver somewhat less than their nameplate capacity at high discharge rates due to internal resistance and the Peukert effect, especially pronounced in lead-acid batteries. This calculator uses the ideal 1/C relationship, which is a close approximation for lithium-ion at moderate C-rates.
How is C-rate used when specifying charging current?+
The same C-rate concept applies to charging, a 1C charge current would fully charge an empty battery in about 1 hour under ideal conditions. Fast-charging lithium-ion batteries often charge at rates around 0.5C to 2C, with the rate typically tapering down near full charge to protect the cells.
What units does this calculator use?+
Battery capacity is entered in amp-hours (Ah) and discharge current in amps (A). Output C-rate is dimensionless (expressed as a multiple of C), and discharge time is given in both hours and minutes.
How does C-rate relate to the battery energy density calculator?+
C-rate and energy density describe different battery properties, C-rate is about how fast energy can be delivered (power capability), while energy density is about how much energy is stored per unit mass or volume. A battery can have high energy density but a low safe C-rate, or vice versa.
Why do electric vehicles need batteries rated for higher C-rates than phones?+
Electric vehicle batteries must deliver large bursts of current for acceleration and accept fast charging, both requiring a higher sustainable C-rate than a phone battery, which typically discharges slowly over many hours and charges at a modest rate to preserve cycle life.
Can this calculator be used to size a battery for a known load current and required runtime?+
Yes, rearrange the same relationship: required capacity (Ah) = discharge current (A) x required runtime (h). Entering your known current and desired runtime as a C-rate (current / target capacity) lets you check whether a candidate battery's capacity meets your runtime requirement.

What is C-rate in batteries?

C-rate expresses charge or discharge current relative to a battery's rated capacity. A current equal to the battery's amp-hour rating is 1C, twice that current is 2C, and half that current is 0.5C, so C-rate = current (A) / capacity (Ah).

How do you calculate discharge time from C-rate?

Discharge time in hours is the reciprocal of C-rate: t = 1/C. Equivalently, t = capacity (Ah) / current (A). A 1C discharge takes 1 hour, a 2C discharge takes 0.5 hours (30 minutes), and a 0.5C discharge takes 2 hours.

Why is discharge time inversely proportional to C-rate, not linear?

C-rate is itself defined as current divided by capacity, so as current (and therefore C-rate) increases, the same fixed amount of stored charge is delivered in proportionally less time. Doubling the discharge current always halves the discharge time, which is exactly the 1/C hyperbolic relationship.

What is a typical safe C-rate for a lithium-ion battery?

Most consumer lithium-ion cells are rated for continuous discharge between 1C and 3C, with some high-power cells rated up to 10C or higher, and specialized cells even higher. Exceeding a cell's rated C-rate risks excessive heat, voltage sag, and accelerated degradation.

Does a battery deliver its full rated capacity at any C-rate?

Not exactly, real batteries deliver somewhat less than their nameplate capacity at high discharge rates due to internal resistance and the Peukert effect, especially pronounced in lead-acid batteries. This calculator uses the ideal 1/C relationship, which is a close approximation for lithium-ion at moderate C-rates.

How is C-rate used when specifying charging current?

The same C-rate concept applies to charging, a 1C charge current would fully charge an empty battery in about 1 hour under ideal conditions. Fast-charging lithium-ion batteries often charge at rates around 0.5C to 2C, with the rate typically tapering down near full charge to protect the cells.

What units does this calculator use?

Battery capacity is entered in amp-hours (Ah) and discharge current in amps (A). Output C-rate is dimensionless (expressed as a multiple of C), and discharge time is given in both hours and minutes.

How does C-rate relate to the battery energy density calculator?

C-rate and energy density describe different battery properties, C-rate is about how fast energy can be delivered (power capability), while energy density is about how much energy is stored per unit mass or volume. A battery can have high energy density but a low safe C-rate, or vice versa.

Why do electric vehicles need batteries rated for higher C-rates than phones?

Electric vehicle batteries must deliver large bursts of current for acceleration and accept fast charging, both requiring a higher sustainable C-rate than a phone battery, which typically discharges slowly over many hours and charges at a modest rate to preserve cycle life.

Can this calculator be used to size a battery for a known load current and required runtime?

Yes, rearrange the same relationship: required capacity (Ah) = discharge current (A) x required runtime (h). Entering your known current and desired runtime as a C-rate (current / target capacity) lets you check whether a candidate battery's capacity meets your runtime requirement.