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How to change from Wh to mAh (and from mAh to Wh) using formula

The conversion between watt-hours (Wh) and milliampere-hours (Ah) depends on the voltage or voltage of the system. The relationship between these two units is given by the formula:

mAh = Wh x 1000 / V

Where:

  • mAh is the capacity in milliamp hours.
  • Wh is the capacity in watt hours.
  • V is the voltage in volts.

To convert from milliamp-hours to watt-hours, you can use the following formula:

Wh = mAh × V / 1000

If you know the Wh capacity of a battery and the nominal voltage, you can calculate the mAh capacity by multiplying the Wh by a thousand and dividing by the voltage. And vice versa, if you know the capacity in mAh and the nominal voltage, you can calculate the Wh by multiplying the capacity in Ah by the voltage and dividing by a thousand.

Note that these conversions between units are only direct if the voltage is constant during the time the power is being used. In systems where the voltage varies, the relationship may not be so simple.

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Practical example to convert Wh to mAh (and mAh to Wh)

Suppose you have a battery with a capacity of 420 watt-hours (Wh) and operates at a voltage of 12 volts (V). To convert from watt hours (Wh) to milliamp hours (mAh), you can use the formula:

mAh = Wh x 1000  / V

In this case, the formula would be:

mAh = 420 Wh x 1000 / 12 V

Performing the operations, we obtain:

mAh = 35000 mAh

Therefore, the battery capacity is 35000 milliamp-hours.

 

If instead you know the capacity in milliamp-hours (mAh) and want to convert it to watt-hours (Wh), you can use the formula:

Wh = mAh × V / 1000

For example, if you have a battery with a capacity of 45,000 milliamp hours (Ah) and operates at 18 volts (V), the formula would be:

Wh = 45000 mAh × 18 V / 1000

Performing the operations, we obtain:

Wh = 810 Wh

Therefore, the battery capacity is 810 watt hours.

Watt hour (Wh) milliamp hour (mAh) equivalence tables

Table of examples of Wh-mAh and mAh-Wh conversions (for a voltage of 12V):

WhmAh
5416.67
10833.33
252083.33
504166.67
1008333.33
25020833.33
50041666.67
60050000
70058333.33
80066666.67
100083333.33
2000166666.67
3000250000
4000333333.33
5000416666.67

mAh

Wh
1001.2
5006
100012
250030
300036
500060
600072
700084
800096
9000108
10000120
20000240
30000360
40000480
50000600

Downloadable quick conversion tables

Download our free quick conversion tables in pdf from milliamp-hours to watt-hours and from watt-hours to milliamp-hours, for different voltages.

How watt-hours and milliamp-hours are used and related

Watt hours (Wh) and milliamp hours (mAh) are essential units in the world of electricity and electronics. While watt hours measure the total amount of energy consumed or stored over a period of time, milliamp hours measure the charging capacity of a battery or the current flowing through a circuit during that same period.

Imagine you are using a Li-Ion battery to power a small device, such as a digital watch. Battery capacity is commonly specified in milliamp-hours (mAh), which indicates how much electrical charge the battery can provide at a certain current rate for one hour before it is depleted. For example, if you have a 1000mAh battery, it can supply 1 milliamp of current for 1000 hours, or 100 milliamps for 10 hours, and so on.

On the other hand, if we look at the power consumed by a device, we use watt-hours (Wh). Power is calculated by multiplying voltage by current, and if we do this over a period of time, we get the total energy consumed in watt-hours. For example, if you have an LED lamp that consumes 1 watt and you keep it on for 5 hours, it will have consumed 5 watt-hours of energy.

So, while milliamp-hours give us an idea of the charging capacity of a battery, watt-hours tell us how much energy an electrical device consumes or produces during its operation. These measurements are crucial to understanding the performance and efficiency of electronic devices in our daily lives.