KIRCHOFF's Law: Solving Circuit

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Homework Help Overview

The discussion revolves around applying Kirchhoff's laws to analyze a circuit with two loops, focusing on the currents I1 and I2. The original poster presents equations derived from the loops and seeks clarification on the relationship between the currents.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to determine the correct expression for the current I based on the values of I1 and I2. Participants discuss the implications of current direction and the consistency of assumptions in loop analysis.

Discussion Status

Participants have engaged in clarifying the direction of currents and the implications of their definitions. Some guidance has been offered regarding the consistency of current direction assumptions, but no consensus has been reached on the final interpretation of the current relationship.

Contextual Notes

There is a mention of potential confusion regarding the direction of currents in the loops, particularly if one loop is clockwise and the other counterclockwise. The original poster's equations and assumptions are under scrutiny, but no definitive resolution has been provided.

urduworld
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circuit.jpg


according to circuit
In Left Loop Current is I1 and Right Loop is I2

Now Loop Left
10-8I1-3I1-I2=0
which becomes
10-8I1-3I1+3I2=0
11I1-3I2-10=0 ------------eq 1


Now Loop Right
15-6I2-3I2-I1=0
15-6I2-3I2+3I1=0
3I1-9I2+15=0
I1-3I2+5=0 ---------------eq 2

Deduct eq 2 from eq 1

10I1-15=0
I1= 1.5
from eq 2 we have
I2=2.1666

Now I want to ask
I= I1-I2
or
I=I2-I1
or what and how to take decision what i have to do
 
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When you consider the magnitude of the current it should be +ve. So I = I2 - I1
 
Thanks Bhat i got your point, and one thing more what will be the direction current on both the loop
 
Since you defined I1 and I2 to be clockwise for positive currents, and both currents are in fact positive, then the direction of each is _____?
 
yes direction of current is positive in the diagram what if direction is counter-clock wise and one loop clock wise and othe one counter clock wise
 
It doesn't matter how you define things, as long as you are consistent. When you assume one loop to be CW and the other CCW, current on the R3 will be sum of the currents in both loops. If you have assumed wrong (that is, currents don't go as you expect them) one of the currents in your final solution will be negative - and that's perfectly OK, that just means current flows in the opposite direction.
 
Thanks Borek now i 'm clear about Kirchoff
 
what is a comlex dc circuit
 
haroon1972 said:
what is a comlex dc circuit

Hello harroon1972, welcome to PF!

If you have a separate question unrelated to what the OP (original poster) was asking, you should start a new thread for it. I'd be happy to help, but you need to be more specific. As it stands right now, it's not very clear what you're asking.
 

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