Algebraic Sums of Currents/EMFs in Junctions/Closed Loops

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Homework Help Overview

The discussion revolves around the application of Kirchhoff's laws in electrical circuits, specifically addressing the algebraic sums of currents at junctions and the sums of EMFs and IR drops in closed loops. Participants are exploring why these sums may not equal zero in certain scenarios.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the conditions under which the algebraic sum of currents and EMFs may not equal their respective sums of IR drops. Some suggest that improper circuit closure or direction of current flow could be factors. Others are considering potential experimental errors that may arise during lab work.

Discussion Status

There is an ongoing exploration of the issues related to Kirchhoff's laws, with some participants expressing uncertainty about their understanding of these laws. Guidance has been offered regarding the application of these laws even at high frequencies, and there is recognition of potential errors in experimental setups.

Contextual Notes

Participants note that they have not yet learned Kirchhoff's laws in class, which may contribute to their confusion. There are mentions of high-frequency effects and the need to account for parasitics in circuit analysis.

hanagasumi
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1. What causes the algebraic sum of the currents (signs included) flowing into each of the four junctions NOT equal to zero?
2. What causes the algebraic sum of the EMFs in each closed loop NOT equal to the algebraic sum of all the IR drops in each loop?For the first question, I thought that if the direction of the current flow is not maintained, like clockwise or counter clockwise, then the sum is not equal to zero
For the second question, I don't really know, I'm thinking that the circuit is not closed properly?

Thank you in advancing for helping me!
 
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hanagasumi said:
1. What causes the algebraic sum of the currents (signs included) flowing into each of the four junctions NOT equal to zero?
2. What causes the algebraic sum of the EMFs in each closed loop NOT equal to the algebraic sum of all the IR drops in each loop?


For the first question, I thought that if the direction of the current flow is not maintained, like clockwise or counter clockwise, then the sum is not equal to zero
For the second question, I don't really know, I'm thinking that the circuit is not closed properly?

Thank you in advancing for helping me!

Can you please post the figure that goes with this question? There are several possible answers, but it's hard to know which one to give you hints about, without seeing the actual circuit(s).
 
Thank you so much! Here is the diagram
 

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berkeman said:
Can you please post the figure that goes with this question? There are several possible answers, but it's hard to know which one to give you hints about, without seeing the actual circuit(s).

Thank you so much! Here is the diagram
 
There does not appear to be anything in the circuit in the diagram you have provided that would give Kirchoff's laws any problems.
 
hanagasumi said:
Thank you so much! Here is the diagram

gneill said:
There does not appear to be anything in the circuit in the diagram you have provided that would give Kirchoff's laws any problems.

I agree. The issues I had in mind had to do with very high frequency effects and transmission lines.
 
I thought so too, because we haven't learn the Kirchhoff's laws yet in class, but we have to do this for a lab. I think from the diagram, there seems to have no problems that would violate the Kirchhoff laws, but then during the performance of the actual experiment I think there may be some possible errors during the lab itself that causes problem to the laws.
 
hanagasumi said:
I thought so too, because we haven't learn the Kirchhoff's laws yet in class, but we have to do this for a lab. I think from the diagram, there seems to have no problems that would violate the Kirchhoff laws, but then during the performance of the actual experiment I think there may be some possible errors during the lab itself that causes problem to the laws.

Well, if there are any errors at DC in your lab, they won't be because of any problems with KCL or KVL.
 
And I should say, that even at high frequencies, as long as you are careful about accounting for things, the KCL and KVL equations still apply. It would be pretty hard to work with circuits if that weren't true. You just have to be more careful about what you mean by continuity and include parasitics. No big deal.
 
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berkeman said:
And I should say, that even at high frequencies, as long as you are careful about accounting for things, the KCL and KVL equations still apply. It would be pretty hard to work with circuits if that weren't true. You just have to be more careful about what you mean by continuity and include parasitics. No big deal.

Thanks for the help! I did the lab today, my value for the voltage didn't add up to zero, because the errors, but it was very close to it.
 

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