Can you solve for the currents using Kirchhoff's law?

In summary, Kirchhoff's law is used to write a system of seven equations for the currents I1, I2, I3, I4, I5, and I6 at nodes A, B, C, and D and the circuits around the main building, annex, and warehouse. The equations are: I1 - I2 - I3 = 0, I3 - I4 - I6 = 0, I4 - I5 + I6 = 0, -I1 + I2 + I3 = 0, 10I1 - 20I2 + I5 = 400, 10I4 - RI6 = 0, and I5 - I6 =
  • #1
Algebrawhore
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Homework Statement


Using Kirchhoff's law for nodes A,B,C and D and then Kirchoff's law for the circuits around the main building, the annex and the warehouse, write a system of seven equations that could be solved for the currents I1, I2, I3, I4, I5, and I6

I get (NOTE**the I are capital i, not one)

The Attempt at a Solution



I1-I2-I3=0
I3-I4-I6=0
I4-I5+I6=0
-I1+I2+I3=0
10I1-20I2=400
10I4-RI6=0

My answer seems to be wrong, please help!

Thanks
 

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  • #2
! The correct answer should be: I1 - I2 - I3 = 0I3 - I4 - I6 = 0I4 - I5 + I6 = 0-I1 + I2 + I3 = 010I1 - 20I2 + I5 = 40010I4 - RI6 = 0I5 - I6 = 0
 

1. What are Kirchhoff's laws and how are they used for circuits?

Kirchhoff's laws are fundamental principles in circuit analysis that govern the behavior of electrical circuits. They are used to determine the current and voltage in different parts of a circuit.

2. What are the two laws of Kirchhoff's laws?

The two laws of Kirchhoff's laws are Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL).

3. How do you apply Kirchhoff's current law (KCL) for nodes A, B, C, and D in a circuit?

To apply KCL, write an equation for each node in the circuit. The sum of all currents entering a node must equal the sum of all currents leaving the node. Use this equation to solve for the unknown currents.

4. How is Kirchhoff's voltage law (KVL) used in circuit analysis?

KVL states that the algebraic sum of all voltages around a closed loop in a circuit must equal zero. This law can be used to write equations for different loops in the circuit and solve for unknown voltages.

5. Can Kirchhoff's laws be used for any type of circuit?

Yes, Kirchhoff's laws can be applied to any type of circuit, including series, parallel, and combination circuits. However, for more complex circuits, other methods such as nodal analysis or mesh analysis may be more efficient.

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