I require to uncover the identical Resistance across A and also B. The trouble is, i don"t recognize which one"s room in series and i beg your pardon ones are in parallel. How do I determine which ones space parallel or series?


exactly how do I identify which ones space parallel or series?

If all of the present leaving one resistor enters one more resistor, the 2 resistors are in series.

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The resistances of collection connected resistors deserve to be included together to discover the equivalent resistance of a solitary resistor, e.g.,

$$R_eq = R_1 + R_2 $$

If all the the voltage throughout one resistor is across another resistor, the two resistors space in parallel.

The conductances of parallel linked resistors have the right to be added together to uncover the equivalent conductance the a single resistor, e.g.,

$$G_eq = frac1R_eq = G_1 + G_2 = frac1R_1 + frac1R_2$$


$$R_eq = frac1frac1R_1 + frac1R_2 $$

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answer Oct 22 "14 at 21:31

Alfred CentauriAlfred Centauri
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Two resistors ~ above the same path are in series. There should be nothing else in between.Two resistors that follow parallel paths room in parallel. If the wire splits in to paths and gatheres into one again alter, this would be parallel paths.In your circuit, you have to piece by piece collect resistors into one equivalent resistor.

Start with the $1.00;Omega$, $2.00;Omega$ and also $3.00;Omega$ ones most to the right. They space in series, so they space added:$$R_eq=1.00;Omega+ 2.00;Omega +3.00;Omega=6;Omega$$If you attracted the entirety circuit again, you could replace these 3 with one resistor through this value.

Now, this brand-new equivalent resistor is in parallel v the vertical $3.00;Omega$ resistor. For this reason they are included reversely:$$frac1R_eq=frac13.00;Omega+frac16.00;Omega=cdots$$These two have the right to now be replaced with one brand-new resistor of this value.

Next step would fx be to see that this brand-new equivalent resistor is in series with the $6.00;Omega$ one top top top. So include them...

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Continue in this way, till all are shortened down and there is just one indistinguishable resistor left. That will certainly the be the resulting identical resistance between A and also B.