Calculate Electrical Energy Stored in 9V Battery (120 mAh)

In summary, to calculate the electrical energy stored in a battery with a nominal voltage of 9V and a charge capacity of 120 mAh, you would use the formula J = V x Ah. In this case, the correct answer would be 1.08 Joules, as 120 mAh is equivalent to 0.12 Ah (amp-hours), which is then multiplied by 9V.
  • #1
Mangastream
5
0

Homework Statement


Calculate the electrical energy (in Joules units) which is stored in a battery with nominal voltage, 9v, and with a charge capacity of 120 mAh.


Homework Equations



J (Electrical Energy) = V (Voltage) x Ah (battery capacity)

The Attempt at a Solution



J = V x Ah
9 x 120 mAh
9 x 0.12 Ah

Answer: 1.08 Joules

Is this correct
Thank you
 
Last edited:
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  • #2
The value looks way too small. How many coulombs in an amp-hour? How about 120 mAh?
 
  • #3
I was wondering if 9V should be multiplied by 120 mAh or 0.120 Ah, so the correct answer then should be

9 x 120 mAh?
 
  • #4
"Calculate the electrical energy (in Joules units)".

While amp-hours are a perfectly valid energy unit (if multiplied by the operating voltage), the Problem Overlords seem to require Joules as the units in this instance.

The secret to all these energy conversions is to know what the underlying units are. So an amp-hour is simply an amp (coulomb per second) times an hour (3600 seconds). So an amp hour is 3600 coulombs.

A volt is a Joule per Coulomb. So volts x amp-hours yields Joules.
 
  • #5
Then why do you say that 9V x 0.12Ah = 1.08 Joules is way too small?
 
  • #6
Mangastream said:
Then why do you say that 9V x 0.12Ah = 1.08 Joules is way too small?

Because 0.12Ahr = 0.12A * 3600seconds
 
  • #7
Got it. Thank you.
 

Related to Calculate Electrical Energy Stored in 9V Battery (120 mAh)

1. How do I calculate the electrical energy stored in a 9V battery with a capacity of 120 mAh?

The formula for calculating electrical energy stored in a battery is E = V x Q, where E is energy (in watt-hours), V is voltage (in volts), and Q is capacity (in ampere-hours). In this case, we would calculate it as follows: E = 9V x 0.12 Ah = 1.08 watt-hours.

2. Why is the capacity of a battery measured in mAh instead of just Ah?

The unit mAh stands for milliampere-hour, which is a smaller unit of measurement than Ah (ampere-hour). Since batteries typically have a low capacity, it is more convenient to use mAh to represent the small amount of current a battery can provide.

3. Is the energy stored in a 9V battery constant or does it decrease over time?

The energy stored in a battery is not constant and will decrease over time as the battery is used. This is due to internal resistance and chemical reactions within the battery. The rate of energy decrease will depend on the type and quality of the battery.

4. Can I use the same formula to calculate the energy stored in any type of battery?

Yes, the formula E = V x Q can be used to calculate the energy stored in any type of battery. However, it is important to note that the voltage and capacity values may differ for different types of batteries and should be adjusted accordingly.

5. How long will a 9V battery with a capacity of 120 mAh last before it needs to be replaced?

The length of time a battery will last before needing to be replaced depends on the voltage and current draw of the device it is being used in. To calculate the approximate runtime, simply divide the battery's capacity (in mAh) by the current draw (in mA) of the device. For example, if a device draws 10 mA, the battery would last approximately 12 hours (120 mAh / 10 mA = 12 hours).

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