Parallely Connect Batteries: What is the Equivalent Emf?

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SUMMARY

Connecting batteries in parallel with differing electromotive forces (emf) such as 3V, 4V, and 5V is fundamentally flawed and can lead to significant issues. When batteries with different voltages are connected, the higher voltage battery will discharge into the lower voltage batteries, potentially causing damage. The equivalent emf in such a scenario is influenced by the internal resistances of the batteries, which can lead to infinite current in ideal conditions, as per Kirchhoff's loop law. Practical applications of this setup are discouraged due to the risk of harming the batteries involved.

PREREQUISITES
  • Understanding of electromotive force (emf) in batteries
  • Knowledge of Kirchhoff's loop law
  • Familiarity with internal resistance in electrical circuits
  • Basic principles of circuit theory and Ohm's Law
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  • Research the effects of internal resistance on battery performance
  • Learn about safe methods for connecting batteries in parallel
  • Study the implications of Kirchhoff's laws in real-world circuits
  • Explore circuit simulation tools to visualize battery connections
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Electrical engineers, battery technology enthusiasts, and anyone involved in circuit design or battery management systems will benefit from this discussion.

fireflies
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I heard that, emf cannot be parallely connected provided that the value of the emf are not same.

Is this correct? Like, what would happen when batteries with 3V, 4V, 5V are parallely connected? And the equivalent emf?
 
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fireflies said:
I heard that, emf cannot be parallely connected provided that the value of the emf are not same.

Is this correct? Like, what would happen when batteries with 3V, 4V, 5V are parallely connected? And the equivalent emf?
Well , yes . Imagine two cells connected to each other . If conditions are perfectly ideal , then current in that loop would be infinite ( From Kirchoff's loop law ) .

However , if they both have large enough internal resistance , then you could connect them ( Why ? ) .
And the third case - If internal resistance tends to negligible , similar to the first case , current would ...
 
The 5V battery would discharge through the lower voltage batteries. The resultant emf is going to depend on the relative resistances of the batteries. Also, the current that flows will depend on the resistances. Some batteries will be seriously harmed by such an arrangement.

If there was some good reason for hooking these in parallel (I can't think of a good one off hand, but there might be) you might be able to get somewhere by putting in a diode at the correct locations.
 
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Qwertywerty said:
Well , yes . Imagine two cells connected to each other . If conditions are perfectly ideal , then current in that loop would be infinite ( From Kirchoff's loop law ) .
..
The two cells connected in which way? Just connected? Or, with an external resistance also?
 
Either way , doesn't matter . Consider the loop containing both the cells only . It doesn't matter what the external resistance is .
 
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DEvens said:
The 5V battery would discharge through the lower voltage batteries. The resultant emf is going to depend on the relative resistances of the batteries. Also, the current that flows will depend on the resistances. Some batteries will be seriously harmed by such an arrangement.

If there was some good reason for hooking these in parallel (I can't think of a good one off hand, but there might be) you might be able to get somewhere by putting in a diode at the correct locations.

Well, it will harm the other batteries, but will be of some work for itself, right?
 
Qwertywerty said:
Well , yes . Imagine two cells connected to each other . If conditions are perfectly ideal , then current in that loop would be infinite ( From Kirchoff's loop law ) .
...

Qwertywerty said:
Either way , doesn't matter . Consider the loop containing both the cells only . It doesn't matter what the external resistance is .

Then the similar case would happen with a cell connected with a single wire(short circuit). The current flow will be infinity.

But does it actually happen?

(Sorry, I was troubling in posting messages, so I rewrote it)
 
fireflies said:
Then the similar case would happen with a cell connected with a single wire(short circuit). The current flow will be infinity.

But does it actually happen?

(Sorry, I was troubling in posting messages, so I rewrote it)
I think you should first state what conditions you are assuming .
 
Qwertywerty said:
However , if they both have large enough internal resistance , then you could connect them ( Why ? ) .
And the third case - If internal resistance tends to negligible , similar to the first case , current would ...

Well, I have lackings in this. Does the internal resistance include the resistance of the wire?

Qwertywerty said:
I think you should first state what conditions you are assuming .

I don't know what you meant by conditions. I'm just talking about a normal cell, where two ends of the emf are short-circuit. So, then also, the current flow will be infinity, right? (From the thought you said for the two connected cells).
 
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What I am trying to say, is that, if the cells connected in parallel faces infinity current, so does the short-circuit (I knew it doesn't??). So, what makes parallel cells more impossible?

I understand the fact that the cells will be damaged, and it is impractical to do so. But what happens, if connected? What about the equivalent emf?
 
  • #11
fireflies said:
Well, I have lackings in this. Does the internal resistance include the resistance of the wire?
I don't know what you meant by conditions. I'm just talking about a normal cell, where two ends of the emf are short-circuit. So, then also, the current flow will be infinity, right? (From the thought you said for the two connected cells).
The first part - Cells produce current by converting chemical energy into electrical energy . The reaction in cells involves movement of ions , and th e resistance offered inside the cell , to their movement is the internal resistance .
When electrons move through the circuit , there is an opposition to their flow . This constitutes the resistance of the wire ( It is considered negligible in many cases ) .

You seem to be mixing the concepts of ideal circuits to real ones . A circuit with enough resistance can have , say , batteries of 5V and 4V connected in parallel .
 
  • #12
But what if they don't have enough resistance?
 
  • #13
See post #2 , or #3 .
 
  • #14
That means, only the 5V battery is going to work?

What equivalent emf? Suppose, if the internal resistance be 1 ohm, for two cells 5V and 4V parallely connected? The question may seem silly, but is popping in my head.
 
  • #15
fireflies said:
That means, only the 5V battery is going to work?

What equivalent emf? Suppose, if the internal resistance be 1 ohm, for two cells 5V and 4V parallely connected? The question may seem silly, but is popping in my head.
It's a straightforward circuit to sketch. You need to represent each of these non-ideal components by something equivalent but comprising all ideal elements, then apply circuit theory such as Ohms Law.

First step: sketch the equivalent circuit, and post your sketch here.
 

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