Author Topic: Reciprocity theorem, not working  (Read 2851 times)

0 Members and 1 Guest are viewing this topic.

Offline nForceTopic starter

  • Frequent Contributor
  • **
  • Posts: 393
  • Country: ee
Reciprocity theorem, not working
« on: December 31, 2015, 11:06:09 pm »
I have build this circuit in LT spice:

I have measured the current Ia, it is 0.453 mA.

Then I have change the voltage source and the branch where I had earlier measured the current. And it is 1 mA.

How? It is a bilateral circuit. Thank you for your help.

 

Offline IanB

  • Super Contributor
  • ***
  • Posts: 11882
  • Country: us
Re: Reciprocity theorem, not working
« Reply #1 on: December 31, 2015, 11:16:36 pm »
I am not understanding your question.

In the circuit as shown you have total loop resistance of 11/3 kilohms. The inductor L1 is not relevant with DC and can be ignored.

The supply voltage is 5 V DC. Therefore the total loop current is 3/11 x 5 = 1.364 mA.

The current through R4 is 1/3 of the total, so 1/3 x 3/11 x 5 = 5/11 = 0.456 mA. This is what you have in the simulation.

Now, what are you changing in the circuit for the next part? I am not clear on that.

 

Offline nForceTopic starter

  • Frequent Contributor
  • **
  • Posts: 393
  • Country: ee
Re: Reciprocity theorem, not working
« Reply #2 on: December 31, 2015, 11:23:18 pm »
Yes what you said is correct.

I have switched the R4 with V1 (voltage source).
 

Offline IanB

  • Super Contributor
  • ***
  • Posts: 11882
  • Country: us
Re: Reciprocity theorem, not working
« Reply #3 on: December 31, 2015, 11:57:57 pm »
Yes what you said is correct.

I have switched the R4 with V1 (voltage source).

OK, if we do that then the total loop resistance is now 5 k in parallel with 1 k, which gives 5/6 k. That makes the total loop current 6 mA. This current will split so that 5/6 of it flows through R3, and 1/6 of it will flow through R1, R2 and R4. So the current through the R1 branch will be 1 mA.
 

Offline nForceTopic starter

  • Frequent Contributor
  • **
  • Posts: 393
  • Country: ee
Re: Reciprocity theorem, not working
« Reply #4 on: January 01, 2016, 12:03:00 am »
Yes I know it's 1 mA. But why the theory isn't consistent with the practical circuit.

https://electronicspani.com/reciprocity-theorem/
 

Offline IanB

  • Super Contributor
  • ***
  • Posts: 11882
  • Country: us
Re: Reciprocity theorem, not working
« Reply #5 on: January 01, 2016, 12:04:42 am »
If you want the reciprocity theorem to work, you must just move the voltage source and the current measurement. You must not move the resistor R4 because that changes the topology of the circuit.
 

Offline IanB

  • Super Contributor
  • ***
  • Posts: 11882
  • Country: us
Re: Reciprocity theorem, not working
« Reply #6 on: January 01, 2016, 12:09:05 am »
Suppose you put V1 where Ia was measured, then the old V1 becomes a short circuit.

Now R1 and R2 are in parallel with R3 giving 3/4 kilohms, and this is in series with R4 giving a total loop resistance of 11/4 kilohms.

The total loop current is therefore 5 x 4/11 = 20/11 mA.

If we measure the current through R1 (where V1 used to be), then it will be split 1/4 through this branch and 3/4 through R3.

Therefore the current through R1 is 1/4 x 20/11 = 5/11 mA, the same answer as previously.
 

Offline nForceTopic starter

  • Frequent Contributor
  • **
  • Posts: 393
  • Country: ee
Re: Reciprocity theorem, not working
« Reply #7 on: January 01, 2016, 03:05:16 pm »
I get it now, thank you.
 


Share me

Digg  Facebook  SlashDot  Delicious  Technorati  Twitter  Google  Yahoo
Smf