Use KCL to solve a Very simple electrical circuit

The unknown currents are I2 and I3, with values of 6 A and 2 A, respectively. This is determined by applying Kirchhoff's current law at node a and using the equation Is= I3 + I2 = 8A to solve for the unknown currents. In summary, by starting at node a and following the current through R2, the value of I2 is found to be 6 A, and from there the value of I3 is determined to be 2 A.
  • #1
qpham26
56
0

Homework Statement



Given
I0=-2 A
I1=-4 A
Is= 8 A
Vs= 12 V

Find all the unknown currents.

http://sphotos-a.xx.fbcdn.net/hphotos-snc7/398253_493549703997883_2004542070_n.jpg

Homework Equations



Kirchhoff’s current law

The Attempt at a Solution


I start at node a and found I2= 6 A
and then from R2 follow the current to find out that

Is= I3 + I2 = 8A => I3= 2 A

thanks for your time.
 
Last edited by a moderator:
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  • #2
qpham26 said:

Homework Statement



Given
I0=-2 A
I1=-4 A
Is= 8 A
Vs= 12 V

Find all the unknown currents.

http://sphotos-a.xx.fbcdn.net/hphotos-snc7/398253_493549703997883_2004542070_n.jpg

Homework Equations



Kirchhoff’s current law

The Attempt at a Solution


I start at node a and found I2= 6 A
and then from R2 follow the current to find out that

Is= I3 + I2 = 8A => I3= 2 A

thanks for your time.
Yes.
 
Last edited by a moderator:

Related to Use KCL to solve a Very simple electrical circuit

1. How do I apply KCL to solve a simple electrical circuit?

KCL, or Kirchhoff's Current Law, states that the algebraic sum of currents entering and leaving a node in a circuit must equal zero. To apply KCL, write out the equations for each node in the circuit and solve for the unknown currents.

2. What is the purpose of using KCL in circuit analysis?

KCL is used to determine the unknown currents in a circuit, which is necessary for analyzing and designing electrical systems. It allows for the calculation of current flow and distribution throughout a circuit.

3. Can KCL be used for both series and parallel circuits?

Yes, KCL can be applied to both series and parallel circuits. In series circuits, the current is constant throughout the circuit, so the equations may be simpler. In parallel circuits, the current splits at each node, so more equations may be needed.

4. Are there any limitations to using KCL in circuit analysis?

KCL assumes that the circuit is linear, meaning that the current and voltage relationships follow Ohm's Law. Additionally, KCL may not be accurate for circuits with non-ideal components or high-frequency signals.

5. How can I check my KCL calculations to ensure accuracy?

To check your KCL calculations, you can use a multimeter to measure the current at different points in the circuit. The sum of all currents entering a node should equal the sum of all currents leaving the node. If they do not, there may be an error in your calculations.

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