# Norton Equivalent

Discussion in 'Homework Help' started by Tin Whisker, Jul 22, 2009.

1. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
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Can anyone help with the attached circuit. I can't understand how to work it out!

I thought you had to turn the voltage source into a current source by dividing it by the nearest resistor? But someone else told me you don't...........

There's a beer in it for the most helpful person

• ###### Norton.doc
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Last edited: Jul 22, 2009
2. ### The Electrician AAC Fanatic!

Oct 9, 2007
2,284
329

Convert the series combination of the 7 volt source and the 7 ohm resistor to a current source in parallel with a suitable resistor (that's what you will calculate).

Then what do you think you should do next?

3. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
8
0
7 Volts / 7 Ohms = 1 Amp

The 1 Amp is now in parallel with the 7 Ohm resitor

Add the 1 Amp to the 6 Amps = 7 Amps

The 7 Ohm and 9 Ohm are now in parallel, so 7X9/7+9 = 63/16 = 3.9 Ohm Resistor

So the new circuit looks like this:

Now I would turn the current source back to a voltage and put the 3.9 Ohm resistor in series with the voltage source?

4. ### vvkannan Active Member

Aug 9, 2008
138
11
You are right.A Norton's circuit consists of a current source in parallel with a resistor .So you dont need to convert it to a voltage source again

5. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
8
0
Do I now need to remove the 3.9 Ohm resistor to get the final answer?

6. ### vvkannan Active Member

Aug 9, 2008
138
11
No you should not remove it.Your answer is right.Just use current division rule and find the current through 3 ohm ( 7 x 3.9/(3.9+3))

7. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
8
0
Ok thanks.

So the answer is 3.95 Amps running through the 3 Ohm resistor (as per the original question)?

Dec 3, 2008
8
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Tin Whisker

9. ### The Electrician AAC Fanatic!

Oct 9, 2007
2,284
329
Yes, that's about right. I get 3.97297 amps through the 3 ohm resistor.

10. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
8
0

I will post another example if you don't mind checking my answer?

11. ### Tin Whisker Thread Starter New Member

Dec 3, 2008
8
0

6v/6 Ohms = 1 Amp

1 Amp + 5 Amps = 6 Amps

6x4/6+4= 24/10 = 2.4 Ohms

6 x 2.4/2.4 + 2 = 3.2727 Amps

12. ### The Electrician AAC Fanatic!

Oct 9, 2007
2,284
329
That's correct.