Short Circuit Current, EMF, Internal Resistance

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SUMMARY

The short circuit current of a battery pack can be calculated using the formula EMF divided by total resistance, where total resistance includes the internal resistance of the battery. In this case, the battery pack consists of four batteries connected in series. While the assumption is that internal resistance remains constant across varying currents, this may not hold true in practice, as batteries do not always behave according to Ohm's law. Additionally, the resistance of the ammeter used in the measurement must also be considered.

PREREQUISITES
  • Understanding of EMF (Electromotive Force) in electrical circuits
  • Knowledge of internal resistance in batteries
  • Familiarity with Ohm's law and its limitations
  • Experience with measuring electrical current using an ammeter
NEXT STEPS
  • Research the impact of temperature on battery internal resistance
  • Learn about the characteristics of series vs. parallel battery configurations
  • Explore methods for safely measuring short circuit current in battery packs
  • Investigate the effects of battery chemistry on performance and resistance
USEFUL FOR

Electrical engineers, physics students, battery researchers, and anyone involved in experimental battery testing and analysis.

geoff.bray
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Okay so I have conducted an experiment to find the internal resistance of a battery pack by gradient of a graph of voltage against current. All so far okay.

I went on to find the EMF also, again all so far okay.

Now I need the short circuit current, and I can't find any information anywhere unbelievably. I don't know if its known otherwise elsewhere.

But anyway, I thought it would simply be EMF/Internal Resistance.

The battery pack is in series with 4 batteries, it is not parallel.

Can anyone confirm/disprove this for me?
 
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geoff.bray said:
Okay so I have conducted an experiment to find the internal resistance of a battery pack by gradient of a graph of voltage against current. All so far okay.

I went on to find the EMF also, again all so far okay.

Now I need the short circuit current, and I can't find any information anywhere unbelievably. I don't know if its known otherwise elsewhere.

But anyway, I thought it would simply be EMF/Internal Resistance.

The battery pack is in series with 4 batteries, it is not parallel.

Can anyone confirm/disprove this for me?

You need to be careful shorting batteries in the real world. What is the context of the question? Is this for a school lab? If so, have they assured you that it is safe to short the battery pack to measure the short circuit current?
 
"Internal resistance" is a loose term to describe the way a battery (or any power source) functions. The assumption is made that it is the same for all currents - i.e. that the battery is 'ohmic'. If you plot the voltage drop over a range of practical currents then you do get a straight line, which justifies this to an extent. I wouldn't say that measuring short circuit current would necessarily reveal the same answer, particularly if the battery gets cooked in the process. (Also, the resistance of the Ammeter would be a factor if the battery happened to be a really beefy one.)
The proposed experiment is fine as a thought exercise but not the best way to find out a useful property of the battery. And you could always blow it up if you're unlucky.
 
If yo connect the terminals of a battery (generator) together the ' short circuit ' current equals emf/total resistance .
If the only resistance in the circuit is the internal resistance then you are correct
 
That assumes that the resistance is the same for all currents. It may well not be because batteries are not made of metals so they can't be relied upon to follow Ohm's law and may well not have a fixed value of resistance.
Also, your current meter has resistance that needs to be taken into account.
 

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