Which way do I measure the potential difference

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SUMMARY

The discussion focuses on measuring the potential difference between points M and N in a circuit with identical bulbs and batteries. Participants clarify that the potential difference is independent of the path taken, confirming that VMN equals the battery's voltage. The importance of battery polarity in determining the direction of potential difference is emphasized, with specific calculations provided for different scenarios. The conclusion is that understanding the circuit's configuration and battery orientation is crucial for accurate potential difference measurement.

PREREQUISITES
  • Understanding of Ohm's Law (V=IR)
  • Familiarity with circuit components (bulbs and batteries)
  • Knowledge of voltage polarity and its significance
  • Basic circuit analysis techniques
NEXT STEPS
  • Study circuit analysis techniques using Kirchhoff's laws
  • Learn about series and parallel circuits and their voltage characteristics
  • Explore the concept of voltage drops across resistive components
  • Investigate the role of battery polarity in circuit behavior
USEFUL FOR

Students studying electrical circuits, educators teaching physics concepts, and anyone seeking to understand potential difference measurement in electrical engineering.

JessicaHelena
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Homework Statement


All the bulbs in the circuits are identical, as are all the batteries. Rank the magnitude of the potential difference between points M and N.
Screen Shot 2018-04-30 at 11.16.52 PM.png


Homework Equations



V=IR

The Attempt at a Solution



My most fundamental question is actually which way do I know to take the potential difference of? For instance, in A, should I only take the potential difference of the batter, or the other way round (where the bulbs are)? In fact, scenario C seems even more ambiguous to me... But once I get the direction of the potential difference right, I think I can tackle the problem.
 

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The battery terminals are marked + and -.
 
JessicaHelena said:
For instance, in A, should I only take the potential difference of the batter, or the other way round (where the bulbs are)?
The potential difference between any two points in the circuit is the same regardless of the path you choose (exception exists but that's not relevant here).
What does that tell you about VMN in A?
 
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@cnh1995 — that it's equal to the battery's voltage? But if it's regardless of the path chosen, I don't quite get C because it seems one way you can get V/2 volts (if V is the battery's voltage) and the other way you can get V + V/2 = 3V/2 volts?

@CWatters — I'm sorry if this should be obvious, but how do the + and - help?
 
JessicaHelena said:
the other way you can get V + V/2 = 3V/2 volts?
No, you must get V/2 in this case too. BTW, what is your "other way"?
Check the polarity of the voltages you use in this path (Refer the battery polarity (+ and -)).
 
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JessicaHelena said:
@CWatters — I'm sorry if this should be obvious, but how do the + and - help?

Gives you the "direction" of the potential difference. Eg it tells you if M is positive or negative with respect to N.

Perhaps I missunderstand what you mean by "direction".
 
JessicaHelena said:
. the other way you can get V + V/2 = 3V/2 volts?

No that other way you get V - V/2 = V/2

Starting at N you go "up" V through the battery then "down" V/2 through the top bulb to get to M.
 

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