Calculate Current Through R3: Negative Possible?

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Homework Help Overview

The discussion revolves around calculating the current through resistor R3 in a circuit, with a focus on the implications of obtaining a negative current value.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the legitimacy of a negative current and its meaning in terms of direction. There are questions about the correctness of loop equations and the potential changes across circuit elements.

Discussion Status

Some participants have provided guidance on interpreting negative current values and have pointed out potential issues with the original equations. There is ongoing exploration of the loop equations, with attempts to clarify the relationships between voltage and current in the circuit.

Contextual Notes

There are indications of confusion regarding the setup of loop equations and the direction of current flow, with references to specific voltage values and circuit elements that may not be fully detailed in the discussion.

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Homework Statement



Calculate the current through R3.

Homework Equations



V=IR

The Attempt at a Solution



my attempt is attached. My question revolves around my answer...is a negative current a legitimate answer? What does it mean?
 

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It is a legitimate answer provided you show a direction arrow (which you have done). It means that the current is not traveling in the direction indicated by your direction arrow. It is going in the opposite direction.
 
Looking at your loop equations, they seem a bit suspect. If you are summing the changes in voltage across each element along a loop, equating the sum to zero, you should get something different.
 
Sastronaut said:

Homework Statement



Calculate the current through R3.

Homework Equations



V=IR

The Attempt at a Solution



my attempt is attached. My question revolves around my answer...is a negative current a legitimate answer? What does it mean?

Your equations 1 and 2 are wrong. Note, that the potential decreases in the direction of the current.

ehild
 
What should my equation for loop 1 be?
 
You start at the negative pole of the battery, and follow the change of potential in the direction, indicated by the green arrow. The potential increases by 5 V traversing the battery. Then it decreases by I3R3 along R3. Then again, it decreases by R1I1, when you return to your initial position. The net change of potential is zero: 5-I3R3-I1R1=0.
Do the same for the other loop. Note that going in direction opposite to the current, the potential would increase.

ehild

attachment.php?attachmentid=61707&d=1378954564.jpg
 
okay I think I am following you so for loop 2 the equation is then -10V+I3R3+I2R2=0?
 
Sastronaut said:
okay I think I am following you so for loop 2 the equation is then -10V+I3R3+I2R2=0?

Yes.

ehild
 

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