What is the current relationship between resistors in parallel?

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Homework Help Overview

The discussion revolves around a circuit containing two resistors in series that are in parallel with a third resistor. Each resistor has a resistance of 5Ω, and the total current through the series resistors is stated to be 4 amps. Participants are exploring the relationship between the current flowing through these resistors.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants are attempting to clarify the meaning of the total current and its implications for the voltage across the resistors. Questions are raised about how the voltage drop relates to the resistors in parallel and the use of Ohm's law to analyze the circuit.

Discussion Status

The discussion is active, with participants providing insights into the voltage across the resistors and questioning the clarity of the current measurement. Some guidance has been offered regarding the calculation of voltage drops and equivalent resistance, but no consensus has been reached on the interpretation of the current in the circuit.

Contextual Notes

There is ambiguity regarding the interpretation of the total current in the circuit, and participants are considering the implications of a given voltage of 20V, which has been introduced later in the discussion.

3inst3in
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Homework Statement



I have a circuit with two resistors in series that are in parallel to another resistor. Each resistor is 5Ω. The total current running through the series is 4amps. I need to find the current in the single resistor that is in parallel. What is the relationship among these three resistors in regard to current??

Homework Equations



for series Itotal=I1=I2=I3

The Attempt at a Solution



for parallel Itotal=I1+I2+I3
 
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What is the voltage drop through each branch of resistors in parallel?
 
I believe that something that could be useful here is the fact that voltage is the same across all elements that are parallel to one another in a circuit. I'm just not sure what you mean by the total current running through the series is 4 amps. Do you mean that the total current running through the resistor that is in series with the two resistors in parallel is 4 amps? It would be helpful to see a circuit diagram to answer this question.
 
3inst3in said:

Homework Statement



I have a circuit with two resistors in series that are in parallel to another resistor. Each resistor is 5Ω. The total current running through the series is 4amps. I need to find the current in the single resistor that is in parallel. What is the relationship among these three resistors in regard to current??

Homework Equations



for series Itotal=I1=I2=I3

The Attempt at a Solution



for parallel Itotal=I1+I2+I3
Apply Ohm's law to determine the voltage across the two series resistors.

How is that voltage related to the voltage across the other branch with the single resistor? Apply Ohm's law to determine the current through that branch.

AM
 
The total current running through the series is 4amps.

Thats ambiguous...

1) If you mean the current through the two resistors in series is 4 amps then... Work out the voltage drop across the two in series. The same voltage drop is across the one in parallel.

2) If you mean the total of the current in the whole circuit is 4 amps then.. Work out the equivalent resistance of (5+5)//5 and then use Ohms law to calculate the voltage drop.
 
CWatters said:
Thats ambiguous...

1) If you mean the current through the two resistors in series is 4 amps then... Work out the voltage drop across the two in series. The same voltage drop is across the one in parallel.

2) If you mean the total of the current in the whole circuit is 4 amps then.. Work out the equivalent resistance of (5+5)//5 and then use Ohms law to calculate the voltage drop.


oops, yes, I meant that the current in the whole circuit is 4amps.
ahh... and I completely forgot about voltage...
I am given that ε=20V which makes the question a lot simpler now
& thanks everyone for responding!
 

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