What is the voltage in a parallel circuit?

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SUMMARY

The discussion clarifies that in a parallel circuit, the voltage across each branch remains constant despite differences in potential energy losses across individual resistors. Specifically, the potentials at points E, F, A, and B are equal, while the potentials at points C, D, G, and H are also equal, leading to the conclusion that the voltage drops across resistors R1 and R2 are the same. This is due to the absence of resistance in the connecting wires, which ensures that the potential difference remains uniform across parallel branches.

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  • Understanding of basic electrical concepts, including voltage and potential difference.
  • Familiarity with Ohm's Law and its application in circuit analysis.
  • Knowledge of parallel circuit configurations and their characteristics.
  • Basic grasp of potential energy in the context of electric circuits.
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erocored
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Potentials in points E, F, A, B are equal because there is no resistance. In my opinion, losses of potential energy in the resitors R1 and R2 are not equal (potential C ≠ potential G). Then why do we say that voltage in this circuit is the same?
 

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Why not? Like you said, ##\phi_A = \phi_B = \phi_E = \phi_F##, and likewise ##\phi_C = \phi_D = \phi_G = \phi_H##. Then ##V_{BC} = \phi_B - \phi_C##, and ##V_{FG} = \phi_F - \phi_G##, and so ##V_{BC} = V_{FG}##.

You might say that the voltages across each resistor, which are the differences in potential energy of a unit charge on either end of the resistor, are equal.
 
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etotheipi said:
Why not? Like you said, ##\phi_A = \phi_B = \phi_E = \phi_F##, and likewise ##\phi_C = \phi_D = \phi_G = \phi_H##. Then ##V_{BC} = \phi_B - \phi_C##, and ##V_{FG} = \phi_F - \phi_G##, and so ##V_{BC} = V_{FG}##.

You might say that the voltages across each resistor, which are the differences in potential energy of a unit charge on either end of the resistor, are equal.
Is it possible that potential C > potential G?
 
erocored said:
Is it possible that potential C > potential G?

Not in your diagram, no. Just look at the path ##C \rightarrow D \rightarrow H \rightarrow G##. Each of those 3 wires have zero resistance, so have zero voltage across them.
 
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The fact that the voltages C and G are equal is what you use to determine the two currents I1 and I2. You could say the currents "adjust themselves" to achieve the same voltage drops.
 
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erocored said:
In my opinion, losses of potential energy in the resitors R1 and R2 are not equal (potential C ≠ potential G).
The statement outside of the parentheses is true, and the statement in the parentheses is false. Remember that potential is not equal to potential energy but rather is equal to potential energy per charge.

Yes, the potential energy lost is different in the two resistors, but so is the amount of charge passing the two resistors. The potential energy lost per charge is the same. So the potential at C is equal to the potential at G.
 
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