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

Click For Summary

Homework Help Overview

The problem involves determining the potential difference between two points, A and B, in a circuit with specified voltages and internal resistances of the cells. The context is rooted in circuit analysis, particularly focusing on the implications of short circuits.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the implications of a potential short circuit between points A and B, questioning the resulting potential difference. Some explore the relationship between resistance and current in the context of short circuits, while others clarify their reasoning regarding circuit parameters.

Discussion Status

The discussion reflects a mix of interpretations regarding the potential difference, with some participants suggesting that a potential difference of zero is expected in a short circuit scenario. There is acknowledgment of the need to understand the conditions under which this occurs, but no consensus has been reached on the specific calculations or outcomes.

Contextual Notes

Participants are navigating assumptions about the circuit configuration and the definitions of short circuits, with some noting the potential for infinite current in certain conditions. The original poster's attempts at a solution are referenced but not detailed.

kalupahana
Messages
31
Reaction score
0

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
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    20.2 KB · Views: 454
Physics news on Phys.org
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:
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K