Using Norton's theorem and superposition to find current

In summary, the task is to find the current through a resistor of 18 ohms in a circuit shown in the first picture. The homework equations used were Norton theorem and superposition. In the second schematic, there are three 10Ω resistors shown, but there should only be two as the third one is in series with a current source. The mistake was pointed out and corrected.
  • #1
amsi
7
0
Okay, the task is really not that hard but I am getting strange numbers.


1. Homework Statement

Find the current going through the resistor of 18 ohms.
Circuit is shown in the first picture.

Homework Equations

The Attempt at a Solution


I used norton theorem and superposition to find current In
DSC_1042.jpg

DSC_1043.jpg

DSC_1044.jpg
 
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  • #2
Sorry for reposting it twice,missclick.
 
  • #3
Hi amsi. :welcome:

In your second schematic you seem to be determining RN after deactivating all sources. You show three 10Ω resistors, but there should be only two; the third one shouldn't show because it is in series with a current source.
 
  • #4
NascentOxygen said:
In your second schematic you seem to be determining RN after deactivating all sources. You show three 10Ω resistors, but there should be only two; the third one shouldn't show because it is in series with a current source.
Oh you are right I didn't even notice it ,thank you.
 

What is Norton's theorem?

Norton's theorem is a circuit analysis technique that allows us to simplify a complex circuit and calculate the current flowing through a specific branch using a current source called the Norton equivalent.

How is Norton's theorem different from Thevenin's theorem?

Norton's theorem is based on the concept of replacing a complex circuit with a current source and a parallel resistance, while Thevenin's theorem uses a voltage source and a series resistance. However, both theorems are equivalent and can be used interchangeably to analyze circuits.

What is superposition in circuit analysis?

Superposition is a technique used to analyze circuits with multiple independent sources. It involves calculating the effect of one source at a time while keeping all other sources turned off. The final solution is obtained by adding the individual effects of each source.

When should I use Norton's theorem and superposition to find current?

Norton's theorem and superposition are useful when analyzing complex circuits with multiple independent sources. They provide a simplified and systematic approach to calculate currents and voltages at different points in the circuit.

Are there any limitations to using Norton's theorem and superposition?

Yes, these techniques can only be used for linear circuits, which means that the current through a branch is directly proportional to the voltage across it. Additionally, superposition cannot be applied to circuits with dependent sources, such as a current source controlled by a voltage source.

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