Batteries in Parallel Arrangement

In summary: By invalid you mean that the current (through each voltage source) becomes infinite? Cause that is what we ll get if we try to find the current by assuming internal resistance r(same for both sources) and then taking the limit r->0.In summary, when adding a second battery in parallel to a D.C. circuit, the voltage and current through the resistor will depend on the internal resistance and EMF of the batteries being used. If the batteries are ideal, the situation becomes invalid as it is impossible to connect two ideal voltage sources in parallel. Therefore, the net voltage of a 10V and 5V battery in parallel cannot simply be 5V. It is important to consider the internal resistances of the batteries to accurately
  • #1
686
17
Hi pf,

Consider a D.C. circuit with a 5V battery and a 5 ohm resistor which will draw a current of 1A. If we ignore internal resistance then adding another battery in parallel will not change the current through the resistance (V=IR). What will happen is that each battery gets 0.5A each now and they last longer (twice as long). My question is what happens in a situation where the second battery you add in parallel is not the same. Keep the original situation above the same but now add a second battery in parallel which is 10V. Still ignoring internal resistance what happens to the voltage across the resistor and the current through it? Will the voltage across the resistor fluctuate since some of the Coulombs of charge will deliver 10J whilst others will deliver 5J?

Thanks.
 
Physics news on Phys.org
  • #2
Jimmy87 said:
Still ignoring internal resistance what happens to the voltage across the resistor and the current through it?

and before you consider that

consider this

Jimmy87 said:
My question is what happens in a situation where the second battery you add in parallel is not the same. Keep the original situation above the same but now add a second battery in parallel which is 10V.
how do you think the 5V battery is going to react to an extra 5V across its terminals ?Dave
 
  • Like
Likes Jimmy87
  • #3
Jimmy87 said:
Hi pf,

Consider a D.C. circuit with a 5V battery and a 5 ohm resistor which will draw a current of 1A. If we ignore internal resistance then adding another battery in parallel will not change the current through the resistance (V=IR). What will happen is that each battery gets 0.5A each now and they last longer (twice as long). My question is what happens in a situation where the second battery you add in parallel is not the same. Keep the original situation above the same but now add a second battery in parallel which is 10V. Still ignoring internal resistance what happens to the voltage across the resistor and the current through it? Will the voltage across the resistor fluctuate since some of the Coulombs of charge will deliver 10J whilst others will deliver 5J?

Thanks.

The battery with the higher EMF will supply voltage to the lower EMF one, until they get to the same voltage. Now, the whole thing depends on the internal resistances of the batteries and the current that flows there, can be calculated using Ohm's law. Because current will be somewhat high, it can potentially damage one or both batteries. If internal resistance is very low, so much the worse for the batteries.
 
  • Like
Likes Jimmy87
  • #4
QuantumQuest said:
The battery with the higher EMF will supply voltage to the lower EMF one, until they get to the same voltage. Now, the whole thing depends on the internal resistances of the batteries and the current that flows there, can be calculated using Ohm's law. Because current will be somewhat high, it can potentially damage one or both batteries. If internal resistance is very low, so much the worse for the batteries.

If we ignore internal resistance then in this case what will the net voltage of a 5V and 10V be? 5V?
 
  • #5
QuantumQuest said:
Because current will be somewhat high, it can potentially damage one or both batteries. If internal resistance is very low, so much the worse for the batteries.

QQ I was hoping that the OP would think about it and come up with some comments instead of you or some one else doing it for him

please consider your responses when you see an OP has been asked a Q ... don't give answers till the OP has at least tried to respond

thanks lots
Dave
 
Last edited:
  • Like
Likes phinds, Fervent Freyja and QuantumQuest
  • #6
davenn said:
QQ I was hoping that the OP would think about it and cone up with some comments instead of you or some one else doing it for him

please consider your responses when you see an OP has been asked a Q ... don't give answers till the OP has at least tried to respond

thanks lots
Dave

Yes , I usually don't give ready-to-go answers. My apologies for that.
 
  • Like
Likes davenn
  • #7
davenn said:
QQ I was hoping that the OP would think about it and come up with some comments instead of you or some one else doing it for him

please consider your responses when you see an OP has been asked a Q ... don't give answers till the OP has at least tried to respond

thanks lots
Dave

So would the net voltage of a 10V and 5V battery in parallel just simply be 5V?
 
  • #8
Jimmy87 said:
So would the net voltage of a 10V and 5V battery in parallel just simply be 5V?
You need to consider the internal resistances now. If you consider the batteries to be ideal, the situaltion becomes invalid. It is invalid to connect two ideal voltage sources in parallel and two ideal current sources in series.
 
  • Like
Likes davenn
  • #9
cnh1995 said:
You need to consider the internal resistances now. If you consider the batteries to be ideal, the situaltion becomes invalid. It is invalid to connect two ideal voltage sources in parallel and two ideal current sources in series.

By invalid you mean that the current (through each voltage source) becomes infinite? Cause that is what we ll get if we try to find the current by assuming internal resistance r(same for both sources) and then taking the limit r->0.
 
  • Like
Likes CWatters
  • #10
Jimmy87 said:
So would the net voltage of a 10V and 5V battery in parallel just simply be 5V?
It would depend entirely on the particular batteries being used. The above posts have pointed out that you cannot consider two 'ideal' batteries.
Try this exercise for yourself:
Two batteries with different voltages (emf) and different internal resistances. 5V with 10Ω and 10V with 100Ω. Ignoring the practical possibility of frying one of the batteries if they were 'real', look at the resulting terminal volts when they're in parallel. Then swap the 10Ω and 100Ω resistances and look at the terminal Volts. Different answers. So there's no definitive answer to your question.
PS an ideal Voltage source will maintain the voltage across it whether that involves sinking or sourcing current. The internal resistances could be getting pretty hot.
 
  • #11
Delta² said:
By invalid you mean that the current (through each voltage source) becomes infinite? Cause that is what we ll get if we try to find the current by assuming internal resistance r(same for both sources) and then taking the limit r->0.
By invalid, I mean indefinite, like 0/0. If two batteries of 5V and 10V are connected across the same resistor R and internal resistances are assumed to be zero, voltage across R can't be defined since both the sources will try to maintain their respective voltages across R. Obviously, the voltage across R can't be 5V and 10V at the same time. It is an invalid condition in network theory. Internal resistances of the batteries must be considered in this situation.
 
  • Like
Likes Delta2
  • #12
Rules...

Never short circuit an ideal voltage source.
Never open circuit an ideal current source.
Never connect ideal voltage sources in parallel (unless same voltage)
Never connect ideal current sources in series (unless same current)
Always leave your multimeter set on Volts.
 
  • Like
Likes cnh1995

What is a parallel arrangement of batteries?

A parallel arrangement of batteries refers to connecting multiple batteries together in a way that the positive terminals are connected and the negative terminals are connected, resulting in a larger overall battery with increased capacity and voltage.

What are the advantages of using batteries in parallel?

Using batteries in parallel allows for increased capacity and voltage, as well as providing redundancy in case one battery fails. It also allows for faster charging times and longer overall battery life.

What is the difference between series and parallel arrangements of batteries?

In a series arrangement, batteries are connected end-to-end with the positive terminal of one battery connected to the negative terminal of the next, resulting in increased voltage but no change in capacity. In a parallel arrangement, batteries are connected side-by-side with the positive terminals connected and the negative terminals connected, resulting in increased capacity but no change in voltage.

How do you calculate the overall voltage and capacity of batteries in parallel?

The overall voltage of batteries in parallel is the same as the voltage of a single battery. To calculate the overall capacity, simply add the capacities of each individual battery together.

What are some safety precautions to take when using batteries in parallel?

It is important to make sure that all batteries used in a parallel arrangement are of the same type, voltage, and capacity to prevent damage to the batteries. Additionally, proper insulation and protection should be used to prevent short circuits. It is also important to properly monitor and maintain the batteries to prevent overheating or other issues.

Suggested for: Batteries in Parallel Arrangement

Replies
16
Views
3K
Replies
4
Views
5K
Replies
6
Views
1K
Replies
7
Views
1K
Replies
45
Views
8K
Replies
1
Views
1K
Replies
5
Views
1K
Replies
9
Views
3K
Back
Top