Circuit Analysis of a diagram with series and parallel circuits

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Homework Help Overview

The discussion revolves around circuit analysis involving series and parallel circuits, specifically focusing on calculating equivalent resistance and current values in a given circuit diagram with a 10V supply.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of equivalent resistance (Req) and current (It), with some questioning how to find individual currents and potential differences across components. There are inquiries about circuit laws and analysis techniques, as well as clarifications on the potential drop across resistors.

Discussion Status

Some participants have provided guidance on calculating potential drops and currents based on the known values, while others are exploring different interpretations of the circuit parameters. There is an ongoing exchange of detailed calculations and checks on the values obtained.

Contextual Notes

Participants mention the importance of significant figures in calculations and the need for detailed work to verify results. There is a focus on understanding the relationships between currents and potential drops in the circuit.

joshqg
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Homework Statement
Find the current through and potential drop across each resistors
Relevant Equations
It=Vt/Req
I found the Req which is 13.6 and also found the It which is 0.74. I'm having trouble finding the separate current and potential difference numbers.
circuit analysis.png
 
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What circuit laws have you learned? Any particular circuit analysis techniques?
 
Your Req is correct (well, I would keep more significant figures for more calculations). So now you know the current drawn from the 10V supply. That current flows through R1, so that gives you all you need to know about R1. Now calculate the Req for the resistors past R1 so you can see how the current divides between the two branches, and keep on going with the calculation. Please show your detailed work so we can keep checking it. Good so far! :smile:
 
berkeman said:
Your Req is correct (well, I would keep more significant figures for more calculations). So now you know the current drawn from the 10V supply. That current flows through R1, so that gives you all you need to know about R1. Now calculate the Req for the resistors past R1 so you can see how the current divides between the two branches, and keep on going with the calculation. Please show your detailed work so we can keep checking it. Good so far! :smile:
For I1 can I use 10V or do I need to find V1 by using the current I found? Also, to find Req for the other resistors do I need to add the 10 ohm and 5 ohm resistors and then solve the Req using the two parallel?

gneill said:
What circuit laws have you learned? Any particular circuit analysis techniques?
We've learned Kirchhoff's laws.
 
You've found the current that the 10 V supply delivers to the equivalent resistance of the network.
1578623693760.png

So you know that this current must be flowing though R1. What's the potential drop across R1? So what then is Va:
1578623835600.png

If you know Va, what's the current through R2 and R3+R4? And their potential drops?
 
gneill said:
You've found the current that the 10 V supply delivers to the equivalent resistance of the network.
View attachment 255387
So you know that this current must be flowing though R1. What's the potential drop across R1? So what then is Va:
View attachment 255388
If you know Va, what's the current through R2 and R3+R4? And their potential drops?
The potential drop off across R1 is 3.7 V. The current through R2 is 0.185. The current through R3+4 is 0.25
 
joshqg said:
The potential drop off across R1 is 3.7 V. The current through R2 is 0.185. The current through R3+4 is 0.25
Your potential drop across R1` is okay, but the other current values do not look good. What are you taking as the potential at node Va? It's certainly not the potential drop across R1!
 

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