So I had a circuit to analyse and I needed to find the equivalent resistor and then I arrived to a confusion. Are R1 and R3 in parallel?
Here is the circuit.
simulate this circuit – Schematic created using CircuitLab
Electronic – Are these 2 resistors in parallel
resistanceresistorssourcevoltagevoltage divider
Related Solutions
There are two steps to finding the Thevenin equivalent circuit: finding the Thevenin voltage and the Thevenin resistance.
Thevenin voltage is the voltage across the two points you interested in (Vin). In this case it is easy to calculate as there is no current flowing in the 43 and 60 \$\Omega\$ resistors thus no voltage drop. Thus the voltage at Vin is the same as the voltage form the source, 72 V.
Thevenin resistance is calculated by 'turning off' all independent current and independent voltage sources and calculating the resistance between the two points. Turning off a voltage source sets the voltage across it to 0, which results in a short (0 \$\Omega\$) in parallel with the 275 \$\Omega\$ resistor. Any resistor combined in parallel with a short results in a short, leaving you with the 43 and 60 \$\Omega\$ resistors now in series, giving a Thevenin resistance of 103 ohms.
Putting the two together gives you a voltage source of 72 V in series with a 103 \$\Omega\$ resistor for you Thevenin equivalent circuit.
It's to do with the golden ratio I think: -
or...
For N = 1,
x = \$\dfrac{13}{8}+\dfrac{-1^{2} \cdot 3!}{3!\cdot 1!\cdot 4^{5}}\$ =
x = \$\dfrac{13}{8}+\dfrac{3!}{3!\cdot 4^{5}}\$ = 1.6259765625
Anyway the link is here and I can't vouch for it being perfect.
Best Answer
Redrawing schematics is a great way to analyze circuits, but also an exercise in why schematics are drawn in particular ways — to more clearly communicate to other engineers.
simulate this circuit – Schematic created using CircuitLab
The rearrangement above should be a little more clear. If you trace a path from one terminal of the battery to the other, you can hopefully see that there are two paths (the split occurs at the junctions on either side of R1).
Series means one-after-another current flow (like a series of events or a television serial). Parallel means that current flows through two or more components at the same time (proportional to the component values).
Just as when you measure voltage, where the value depends on your reference point, components can be series or parallel depending on what you are comparing them to:
You could say: