What is the potential difference between points A and B in a circuit?

AI Thread Summary
The discussion focuses on calculating the potential difference between points A and B in a circuit with given EMFs and internal resistances. It concludes that if AB behaves like a short circuit, the potential difference will be zero, which is not a cause for concern. The relationship between current and resistance is explained using Ohm's Law, emphasizing that as resistance approaches zero, the potential difference must also approach zero to prevent infinite current. If a non-zero potential difference is calculated, it indicates a problem in the circuit. Understanding these principles is crucial for analyzing circuit behavior effectively.
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Homework Statement


The Cells in a circuit has 2V and 4V emfs and 2Ω and 6Ω internal resistance respectively. Find the potential difference between AB


Homework Equations


V=IR
Kirchoff's Laws


The Attempt at a Solution


The attempts are in image
 

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AB seems to be a shortcircuit. That is a potential difference of 0, so if you end up getting that, it's nothing to worry about. If you got something other than 0, that's when you should be worried. :wink:

Basically, you can think of a shortcircuit as taking a branch with a single resistor R, and doing R → 0. From V = IR, you see that I = V/R, so if R → 0, the only way to stop I from going to infinity and being a defined finite value, is to have V = 0, that is, the potential difference across a shortcircuit vanishes.
 
Metaleer said:
AB seems to be a shortcircuit. That is a potential difference of 0, so if you end up getting that, it's nothing to worry about. If you got something other than 0, that's when you should be worried. :wink:

Basically, you can think of a shortcircuit as taking a branch with a single resistor R, and doing R → 0. From V = IR, you see that I = V/R, so if R → 0, the only way to stop I from going to infinity and being a defined finite value, is to have V = 0, that is, the potential difference across a shortcircuit vanishes.
If VAB ≠ 0, then it would be I-i that goes to infinity.
 
The I in my explanation was the I of an arbitrary branch in which a shortcircuit is produced, I didn't use the same circuit as the one given. That's why I said V = IR, and not V = (I-i)R.

The I of my example would be extrapolated to whatever it need be, per particular circuit.
 
Ok thanks for help, i got it
 
You're welcome. :biggrin:
 
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