What is Norton equivalent: Definition and 32 Discussions
In directcurrent circuit theory, Norton's theorem (aka Mayer–Norton theorem) is a simplification that can be applied to networks made of linear timeinvariant resistances, voltage sources, and current sources. At a pair of terminals of the network, it can be replaced by a current source and a single resistor in parallel.
For alternating current (AC) systems the theorem can be applied to reactive impedances as well as resistances.
The Norton equivalent circuit is used to represent any network of linear sources and impedances at a given frequency.
Norton's theorem and its dual, Thévenin's theorem, are widely used for circuit analysis simplification and to study circuit's initialcondition and steadystate response.
Norton's theorem was independently derived in 1926 by Siemens & Halske researcher Hans Ferdinand Mayer (1895–1980) and Bell Labs engineer Edward Lawry Norton (1898–1983).To find the equivalent, the Norton current Ino is calculated as the current flowing at the terminals into a short circuit (zero resistance between A and B). This is Ino. The Norton resistance Rno is found by calculating the output voltage produced with no resistance connected at the terminals; equivalently, this is the resistance between the terminals with all (independent) voltage sources shortcircuited and independent current sources opencircuited. This is equivalent to calculating the Thevenin resistance.
When there are dependent sources, the more general method must be used. The voltage at the terminals is calculated for an injection of a 1Amp test current at the terminals. This voltage divided by the 1 A current is the Norton impedance Rno. This method must be used if the circuit contains dependent sources, but it can be used in all cases even when there are no dependent sources.
Figure:
My attempt at a solution:
a) ##\boxed{V_{TH}}##
Current source equations ##\rightarrow \boxed{2=I_2I_1}##
Control variable equations ##\rightarrow V_1=4I_2\rightarrow \boxed{0=4I_2V_1}##
Super Mesh ##\rightarrow 0,5V_1+2I_1+I_2(4+8)8I_3=0\rghtarrow...
Hello I'm trying to solve my homework assignment, I have successfully found the thevenin resistance which is equal to 3.75 but I'm stuck on how to even get started to find the voltage because there are too many components.
I have shorted the load resistor which is called RL but there are too...
Hi,
I am looking for a formal proof of Thevenin theorem. Actually the first point to clarify is why any linear network seen from a port is equivalent to a linear bipole.
In other words look at the following picture: each of the two parts are networks of bipoles themselves.
Why the part 1  as...
Hi.
Let's say we have a circuit like that, and we want to find the Thevenin/Norton circuit from a and b points.
So for Vth, we calculate the Voc, in which we remove the 2K ohm resistor and calculate the Voc. I calculated it correctly. But I have problem in calculating the Norton current. So in...
I am not an English speaker, I apologize that I cannot use English well.
I have a question calculating the IN. When the terminal ab is shortcircuited, is it right that the currents are zero at 2 ohm and 6 ohm resistances?(Because they are parallel with a shortcircuit.)
Also, because the...
Homework Statement
Find the Norton equivalent resistance
Homework Equations
Sum of resistance in a parallel circuit: 1/Rt = 1/R1 + 1/R2...
Sum of resistance a series circuit: Rt= R1+R2...
The Attempt at a Solution
Don't know where to go from here:
Homework Statement
Determine the Thevenin equivalent of the following circuit:
https://imgur.com/a/74UjA (Top image)
Homework Equations

The Attempt at a Solution
The last 3 images in the Imgur album are all different approaches.
I can't figure out what the right one is, and why the other...
should you only apply the test sources when there are only independant sources in the circuit. Also would it be valid to zero all dependant source so that you are only left with independant sources and then apply the test source. It seems like i am always applying open and short circuit...
Homework Statement
A screenshot of the problem:
imgur link: https://i.imgur.com/ljtoclm.png
Homework EquationsThe Attempt at a Solution
My first attempt at the solution was this:
imgur link: https://i.imgur.com/TJcvOzy.jpg
However, I have access to the worked solution, and it is...
Homework Statement
Is this simplified enough to be considered a norton circuit? Does the current source HAVE to be on the left?
Homework Equations
N/A
The Attempt at a Solution
N/A
Hey everyone... I've tried to solve this problem with all kind of methods ,but I couldn't do it. I have tried to make an open circuit between R2 and R2 and then to find thevenin voltage and Ri but I have problem solving for thevenin voltage because of this dependent current source... Please give...
Homework Statement
Find the Norton equivalent at the terminals.
Homework Equations
V=IR
The Attempt at a Solution
I did the thevenin equivalent, but I'm not sure where to go from there. How do I get the Norton equivalent out of this? [/B]
Hi guys,
Sorry if all you guys think this question is too easy. But I have a hard time to understand how to group the resistor. I suppose to find the the thevenin and Norton equivalent circuit. This is what i think about the combination of resistor.
Req1= RL+1k
Req2= Req1 ll 3.3k (3.3k after...
Homework Statement
For this problem (pic attached) I did the open circuit calculations and found V1 (6v) and V2 (4v) and I know they are correct. However I am not sure if my Voc and Isc (open circuit voltage and short circuit current) calculations are correct.
The Attempt at a Solution...
Homework Statement
Homework Equations
The Attempt at a Solution
I am trying to compute ##I_N##.
I connected nodes a and b. The circuit after some simplification:
$$\frac { 180{ V }_{ 1 } }{ 20 } =\frac { 120V_{ 1 } }{ 40 } \\ { V }_{ 1 }=240\quad V\\ \\ R=\frac { V...
Homework Statement
Having some Difficulty in starting the second question on this sheet. i have managed to find examples and worked my way through the first question, but unfortunately my tutor has decided to move onto pastures new, and we have an assignment to complete but no tutor which...
Homework Statement
Find Vt and In
Homework Equations
KCL
The Attempt at a Solution
I found Rt to be 5.94 ohms (1/(1/7+1/9)+2)
Then I am stuck.
I know to find Vt (which is equal to Vopen circuit), I have to do a KCL in an open circuit, so my KCL equation is
2+Voc/3=Voc/4
So...
Homework Statement
The (b) circuit shown in the attached image is the Norton equivalent circuit of the (a) circuit. Find the value of the shortcircuit current, isc, and Thévenin resistance, Rt.
isc being the current that would flow through the two open nodes if they were shorted.
The...
Homework Statement
Question
Homework Equations
The Attempt at a Solution
I tried using source transformation.
I simplified the original circuit to the above circuit. I got Rnorton, however, I am a bit unsure on getting Isc. Is it possible to source transform the above circuit further? Or...
Hi
Can you please tell me how to find the Norton Equivalent or I should say the short circuit current in the attachment diagram?
Norton resistance using two different methods but now question asks me to find resistance by dividing voltage of open circuit which I figure it out over current...
Homework Statement
Basically, I'm having trouble doing the source transformation and subsequently finding the norton equivalent for this circuit and I don't really know where to start.
The circuit is attached where:
i=3A
V=90V
Please help!
Homework Statement
Consider this circuit. Find the Thévenin and Norton Equivalent Circuits (just need the 1st one).
Homework Equations
The Attempt at a Solution
My attempt:
Can someone check? Thanks a lot!
The problem statement
7. In the circuit below, the resistor R3 models a light bulb.
a) Use superposition to find iX.
b) Find the Norton equivalent as seen by the independent current source, iS2.
c) Find the power delivered by the independent current source, iS2, in the circuit below.
Diagram...
Picture an 8ma ideal current source pointing downward in parallel to a 20kohm resistor on the left of this picture. Wouldn't these elements contribute to the voltage drop across A and B.
Rth makes sense because the ideal voltage source will be shorted eliminating the last resistor but the...
Homework Statement
Find norton equivalent circuit
Homework Equations
Rn=Rth
The Attempt at a Solution
Ok i got my R(n)=34 ohms because after you turn off independent sources the resistors are in series, then I short circuited a to be and I'm trying to use mesh analysis to solve...
Homework Statement
Write down the nodevoltage matrix equation for the following circuit. Hence find the total power dissipated. (Hint: replace the emf+series resistance(s) by the Norton equivalents.)
Homework Equations
n/a
The Attempt at a Solution
The problem I'm having is that I...
Homework Statement
Find the norton equivalent with respect to terminals a and b
[PLAIN]http://img821.imageshack.us/img821/7177/nortonequivalent.jpg [Broken]
Homework Equations
KVL, KCLThe Attempt at a Solution
I set i1 = .008 A
Then I found the rest of the currents.
KVL@ loop i2...
Hello,
I have the following circuit:
[PLAIN]http://img15.imageshack.us/img15/6981/nortonm.png [Broken]
I need to determine the Norton equivalent for this circuit.
I wonder whether the easiest way to solve this is by zeroing the independent source, connecting a test voltage source and...
Electric Circuit. Norton/Thevelin Equivalents
Unsolved Problem
I used a node voltage equation to try and get Vth and the I in the shortcircuit to get the Rth but it didn't work.
Unsolved Problem
I used a node voltage equation to get Vth and I in the shortcircuit. Got Rth and...
I'm having trouble finding the norton equivalent resistance for the attached circuit.
I reasoned that once you short the source, you just get the (3ohm+2ohm) in parallel with the 4ohm resistor.
However the answer I'm getting is not the one given in the book (I get 2.22ohms, when it...
Homework Statement
See picture:
http://img88.imageshack.us/img88/8319/87671967.jpg [Broken]
The answer is given as phasors
I = 0.3536\angle45
Z = 2.828\angle45
Homework Equations
The Attempt at a Solution
ZL = jwL = 2j Ohms
ZC = j/(wC) = 4j Ohms
Can't do it by zeroing the sources as...
Hi, I found this question from a textbook:
Suppose there are two black boxes, Box A has a 1V voltage source and 1ohm resistance (Thevein Circuit); and Box B has a 1A current source and 1ohm resistance (Norton Circuit). You only have access to the two terminals. How do you know which is which...