Applying Kirchhoff's Rules to Solve Circuit Problems

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In summary, the problem involves using Kirchhoff's first rule and setting up equations to solve for the currents in the circuit. By considering two loops and using substitution, the three unknown currents (I1, I2, and I3) can be solved.
  • #1
jcpwn2004
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Homework Statement



http://img245.imageshack.us/my.php?image=physicsef4.jpg

Homework Equations



The change in Voltage = 0.

The Attempt at a Solution



Ok I have no clue where the loops go from. I want to say something like the current for I1 starts at the 10V battery in the middle and the current would look something like this:

8ohm + 2ohm +15v +I1 +3ohm - I2 = 0...

I just really don't understand these problems and could use some help thanks.
 
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  • #2
First, making use of Kirchhoff's first rule :
The algebric sum of current at a junction is zero.
We have I3 = I1+I2.
Then , by considering two loops of the circuit,(there are a total of three circuits, choose two you like)

Setting up equation
20-I3(10)-8I2+10-I3(4)=0
20-10I3-I1(2)+15-3I1-4I3 =0

30-22I2-14I1=0
35-19I1-14I2=0
and solve it.
 
  • #3
mysqlpress said:
First, making use of Kirchhoff's first rule :
The algebric sum of current at a junction is zero.
We have I3 = I1+I2.
Then , by considering two loops of the circuit,(there are a total of three circuits, choose two you like)

Setting up equation
20-I3(10)-8I2+10-I3(4)=0
20-10I3-I1(2)+15-3I1-4I3 =0

30-22I2-14I1=0
35-19I1-14I2=0
and solve it.

Thanks, so do I just do substitution from there?
 
  • #4
jcpwn2004 said:
Thanks, so do I just do substitution from there?
Yes.
and I3=I2+I1.
all currents are solved
 

1. What are Kirchoff's rules and why are they important in science?

Kirchoff's rules are two fundamental principles in circuit analysis that help to calculate the voltage and current in a circuit. They are important because they provide a systematic and accurate way to analyze complex circuits and predict their behavior.

2. What is Kirchoff's current law and how does it work?

Kirchoff's current law, also known as the junction rule, states that the sum of all currents entering a junction in a circuit must equal the sum of all currents leaving the junction. This law is based on the principle of conservation of charge, which states that charge cannot be created or destroyed, only transferred.

3. Can Kirchoff's current law be violated?

No, Kirchoff's current law is a fundamental law in physics and cannot be violated. If the law appears to be violated in a circuit analysis, it is likely due to an error in the analysis or measurement.

4. What is Kirchoff's voltage law and how is it applied?

Kirchoff's voltage law, also known as the loop rule, states that the sum of all voltages around a closed loop in a circuit must equal zero. This law is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred.

5. Can Kirchoff's voltage law be applied to any type of circuit?

Yes, Kirchoff's voltage law can be applied to any type of circuit, including both series and parallel circuits. It is a fundamental principle in circuit analysis and is used to calculate the voltage drops and currents in complex circuits.

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