Understanding Kirchhoff's Voltage Law in Circuit Analysis

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Discussion Overview

The discussion revolves around understanding Kirchhoff's Voltage Law (KVL) in the context of circuit analysis, particularly applied to a specific circuit problem involving resistors and a battery. Participants explore various methods for analyzing the circuit, including mesh analysis and simplification techniques.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about whether the current across each resistor in a closed loop can be the same, suggesting a misunderstanding of KVL.
  • Another participant proposes simplifying the circuit to find the current from the battery, indicating a focus on the arrangement of resistors.
  • A different participant notes that at point A, the voltage from the battery has not yet encountered any resistance, implying that the voltage remains at 2 volts before reaching the resistors.
  • One participant suggests using mesh analysis and defining separate currents for the loops, applying KVL to solve for the currents.
  • Another participant argues that the current must be less than 1 A based on the total resistance encountered by the current, providing a reasoning based on Ohm's Law.
  • One participant performs a calculation involving the resistors, suggesting a numerical approach to determine the current.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method for solving the circuit problem. Multiple approaches and interpretations of KVL are presented, indicating ongoing debate and uncertainty regarding the application of the law in this context.

Contextual Notes

Some participants express uncertainty about their understanding of circuit analysis concepts, and there are unresolved assumptions regarding the arrangement of resistors and the application of KVL.

Who May Find This Useful

This discussion may be useful for students learning about circuit analysis, particularly those grappling with Kirchhoff's Voltage Law and its application in solving circuit problems.

luysion
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Hello.
The question appears not to complex! however I am been on break (and still am haha) but I saw this in an old exam paper and its bugging me that I don't know how to do it!

heres the question;
http://img59.imageshack.us/img59/9868/dfdfmu.jpg

Kirchhoff voltage law comes to mind. However I am confusing myself. I thought that the current across each resistor in one of the closed loops can't be the same? or can it?
anywhos ignore my little rant. Id really appreciate if someone could explain to me the answer cheers.
 
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Is there a way to simplify the circuit to find the current from the battery? Look at how the resistors are arranged.
 
I am new to this as well in my circuits class, so anyone correct me If I am wrong.
At point A the voltage from the battery hasn't reached any electrical resistance yet, correct?
So would not the voltage be the same since as it started 2 volts because it hasn't reached resistors yet?
And solving for current would be just doing a little algebraic manipulation of one form of the equation for voltage

[itex]V=IR[/itex] and resolving to find current [itex]I=\frac{V}{R}[/itex]

?

I think I might be way off... :(
 
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Start from the right of the circuit. There are some resistors in series.

What would be the size of one resistor that could replace these three resistors?

[URL]http://upload.wikimedia.org/math/0/1/5/01541fd01585b4f8ba5ac819e4abc042.png[/URL]


Then, take this new resistor and put it in parallel with the 4 ohm resistor. What is the formula for two resistors in parallel?
dc55458c0154c67e7e8eed2b2e5b835a.png



So, you could put one resistor in here that is equivalent to the 4 resistors.


Now, you have 3 resistors in series. How do you get the equivalent resistance of these 3 resistors?
[URL]http://upload.wikimedia.org/math/0/1/5/01541fd01585b4f8ba5ac819e4abc042.png[/URL]

So, now there is one resistor across a battery. Ohms Law tells you what the current will be.
7564ef88e7c926febabebd837d9f744a.png
 
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hey i think u should use mesh analysis for solving this circuuit. consider separate currents I1 and I2 for the two loops.now apply kirchhoffs voltage law in both the loops sepreately.solve for I1 and I2.
the value of I1 will give u the current at point A.
 
No real need to calculate. The current has to pass the two 1 Ohm resistors on the left, and then at least one more resistor. Hence, the resistance is larger than 2 Ohms, this means the current must be smaller than 2V/2Ohm = 1 A. I only see one answer smaller than one.
 
It should be mental arithmetic anyway.

1 + 2 + 1 = 4

4 // 4 = 2

1 + 2 + 1 = 4

2 / 4 = 0.5
 
hey sorry late reply guys, thanks so much for the help :)
 

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