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Battery charging time calculator

The battery charging time calculator below works out how long a Li-ion, LiFePO4, NiMH or sealed lead-acid battery takes to charge from its capacity, the charge current and where it starts. Lithium and lead-acid results split out the constant-current phase and the slower constant-voltage taper.

Examples
Chemistry
mAh

A 100 Ah battery is 100000 mAh.

A
%
%
A

Optional: where the charger stops. Blank uses 0.05C, or 0.03C for lead-acid.

%

Optional: charge level where the voltage limit is reached, from your cell’s curve. Blank estimates it.

×

Optional: Ah put in per Ah stored. Blank uses 1.0 for lithium, 1.2 for NiMH, 1.11 for lead-acid.

Estimated charge time

2 h 28 min

Charge rate
0.5C
Constant-current phase
1 h 42 min
Constant-voltage taper
46 min
CC to CV change at
85 % charge
Taper ends at
150 mA
Likely range
2 h 9 min to 2 h 47 min CC to CV change 10 points either way
Charge supplied
3000 mAh
Charge factor
1 ×

Charge Li-ion only inside the cell’s rated temperature range, commonly 0 to 45 °C (the Panasonic NCR18650B sheet lists 10 to 45 °C). Never trickle charge a full cell.

Estimated CC to CV change at 85 % charge and a single-exponential taper to 150 mA. A real taper is not a pure exponential, so treat the time as an estimate.

A cell below its pre-charge threshold starts at a reduced current, which adds some minutes that are not included here. Three of the four standard versions of Microchip’s MCP73831 use 10 % of the programmed current for this.

Charge profile
0204060801000500m11.500.511.52Time (h)State of charge (%)Current (A)CV starts at 1 h 42 min
State of charge (%)Current (A)

Li-ion / LiPo charge time by charge rate

Charge rateCurrentCC phaseTotal
0.1C300 mA8 h 30 min10 h 35 min
0.2C600 mA4 h 15 min5 h 38 min
0.3C900 mA2 h 50 min3 h 55 min
0.5C1.5 A1 h 42 min2 h 28 min
0.7C2.1 A1 h 11 min1 h 53 min
1C3 A48 min1 h 26 min

How long does it take to charge a battery?

Charge time ≈ capacity × fraction to charge × charge factor ÷ current, plus a constant-voltage taper for lithium and lead-acid. A 3000 mAh Li-ion cell at 1.5 A (0.5C) takes about 2 h 28 min from empty: 1 h 42 min at constant current to about 85 %, then 46 min of taper.

Battery charging time formula

The constant-current part is simple charge accounting. NiMH charging is entirely this part.

t_cc = C × (x − s0) × f ÷ I
t_cc
constant-current time in hours
C
capacity in Ah
s0
starting state of charge, 0 to 1
x
state of charge where the voltage limit is reached (1 for NiMH)
f
charge factor: Ah in per Ah stored
I
charge current in A

After that, Li-ion, LiFePO4 and lead-acid are held at their voltage limit and the current tapers. The calculator models the taper as a single exponential from I down to the termination current that delivers the remaining charge:

τ = f × C × (1 − x) ÷ (I − Iterm)     t_cv = τ × ln(I ÷ Iterm)
τ
taper time constant in hours
Iterm
termination current in A
t_cv
constant-voltage time in hours

The transition point x is empirical. By default it is 85 % for Li-ion up to 0.5C, falling to 70 % at 2C; 95 % for LiFePO4 up to 1C, falling to 80 % at 4C; and for lead-acid 72 % at 0.1C, falling to 58.5 % at 0.25C. The straight lines between those points are an estimate, so enter x from your own cell’s curve if you have it. The result shows a range for x 10 points either way.

Battery charging time calculation examples

Example 1: 3000 mAh Li-ion 18650 at 0.5C

At 1.5 A the voltage limit arrives near 85 %: t_cc = 3 Ah × 0.85 ÷ 1.5 A = 1 h 42 min. With a 150 mA cut-off, τ = 3 Ah × 0.15 ÷ 1.35 A = 0.333 h, and t_cv = τ × ln(10) = 46 min. The total is 2 h 28 min.

Example 2: 2500 mAh NiMH AA at 500 mA

NiMH has no taper, and timed charges use 120 % input. t = 2.5 Ah × 1.2 ÷ 0.5 A = 6 h, at 0.2C. That is below C/3, where there is no reliable end-of-charge signal and a timer has to stop the charge.

Example 3: 12 V 7 Ah sealed lead-acid at 0.25C

1.75 A is the 0.25 CA limit Yuasa gives for its NP batteries. About 58.5 % goes in at constant current in 2 h 36 min (with a 1.11 charge factor), and the taper to 210 mA adds 4 h 27 min, for 7 h 3 min. Float charging takes over after that.

Battery charging time table by charge rate

What the charge time calculator gives with default settings for each chemistry, 0 % to 100 %. C-rates outside a chemistry’s usual range are shown as a dash.

Charge rateLi-ion / LiPoLiFePO4NiMHSealed lead-acid
0.05C———23 h 57 min
0.1C10 h 35 min—12 h13 h 21 min
0.2C5 h 38 min5 h 13 min6 h8 h 5 min
0.25C4 h 36 min4 h 12 min4 h 48 min7 h 3 min
0.5C2 h 28 min2 h 9 min2 h 24 min—
1C1 h 26 min1 h 6 min1 h 12 min—
2C—38 min——

How the model compares with published figures

Published charge times are limits or read off charts by eye, so treat this as a sanity check. The model lands on both sides of them, up to about 20 % away. The Samsung figures come from the public retailer listings cited on the battery pack calculator.

Battery and chargeModelPublished
Panasonic NCR18650B, 975 mA, 65 mA cut-off4 h 25 minAbout 4.1 h on the datasheet chart
Samsung 30Q, 1.5 A, 150 mA cut-off2 h 28 min180 min
Samsung 30Q, 4 A, 100 mA cut-off1 h 14 min70 min
A123 26650, 10 A to 80 %12 min12 min
A123 26650, 2.5 A CCCV1 h 6 min60 min
Yuasa NP, 0.25C at 2.4 V/cell, to 0.03 CA7 h 3 minAbout 8 h on Figure 12
Yuasa NP, 0.1C at 2.4 V/cell, to 0.03 CA13 h 21 minAbout 12 h on Figure 9

What changes the real charge time

  • Termination current. Lowering it adds time for very little capacity. Cell datasheets commonly use 0.02C to 0.05C. Single-cell charger ICs stop at a set fraction of their programmed current: Microchip’s MCP73831 data sheet lists 5, 7.5, 10 and 20 %, and its standard versions use 7.5 or 20 %.
  • Aging and temperature. Rising internal resistance reaches the voltage limit sooner and lengthens the taper. Cold limits charging too: the Panasonic NCR18650B sheet lists a charge range of 10 to 45 °C.
  • Pre-charge. A deeply discharged cell is first brought up at a reduced current. The MCP73831 data sheet lists 10, 20 or 40 % of the programmed current, or no preconditioning at all, and three of its four standard versions use 10 %.
  • System load. Current used by the device during charging does not reach the cell, and can stop the taper from ever reaching the termination level.
  • Charge input. NiMH timers must allow for losses, and a timer overcharges a cell that was not empty.
  • Charger limits. A current-limited USB source or a linear charger in thermal foldback delivers less than its programmed current.

Glossary

C-rate
Charge current relative to capacity. For a 3000 mAh battery, 1C is 3 A and 0.5C is 1.5 A.
CC-CV
Constant current up to a voltage limit, then constant voltage while the current tapers.
Termination current
The taper current at which the charger stops and calls the battery full.
Charge factor
Ampere-hours put in per ampere-hour stored. It exceeds 1 where some charge is lost to side reactions.
State of charge (SoC)
Stored charge as a percentage of full capacity.
Float charge
A lower holding voltage that keeps a full lead-acid battery topped up.

Related guides

Frequently asked questions

How do you calculate battery charging time?

For a constant-current charge, the battery charge time formula is: time in hours = capacity in Ah × fraction to charge × charge factor ÷ charge current in A. Lithium and lead-acid batteries then spend extra time in a constant-voltage taper, which this calculator adds.

How long does a 3000 mAh 18650 take to charge?

About 2 h 28 min from empty at 1.5 A (0.5C) with a 150 mA cut-off: 1 h 42 min of constant current, then 46 min of taper. Getting to 80 % takes only 1 h 36 min. A public retailer listing for the Samsung 30Q gives 180 minutes for this charge.

Why does the last 20 % of charging take so long?

Once a lithium cell reaches its voltage limit, the charger holds that voltage and the current falls as the cell fills. Battery University notes that raising the charge current does not hasten full charge by much: the constant-current stage is shorter, but the saturation stage takes longer.

What charge rate is safe for Li-ion?

Follow the datasheet. Typical energy cells are charged at 0.5C to 1C: the Panasonic NCR18650B has a 0.5C standard charge, and a retailer listing gives the Samsung 50E a 1C maximum. Some power cells allow more (the Samsung 30Q is listed with a 4 A, about 1.3C, rapid charge).

How long does a LiFePO4 battery take to charge?

An A123 26650 cell (2.5 Ah) takes about 1 h 6 min from empty at 2.5 A (1C) with the default model, and A123 publishes 60 minutes for that charge. At 10 A it reaches 80 % in about 12 min.

How long does a NiMH battery take to charge?

Divide capacity by current and multiply by about 1.2 for losses. A 2500 mAh cell at 500 mA takes 6 h. Below about C/3, chargers rely on a timer because there is no clear end-of-charge signal.

How long does a 12 V 7 Ah sealed lead-acid battery take to charge?

About 7 h 3 min from empty at the 1.75 A (0.25C) that Yuasa recommends. Yuasa’s published curve at that rate returns 100 % of the discharged charge in about 6 hours, and the current falls to 0.03 CA after about 8 hours.

Does charging with a device turned on take longer?

Yes. Whatever the device draws comes out of the charger’s current, and it can stop the taper from reaching the termination level. Battery University advises turning the device off or disconnecting the load during charge.

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