Which Two Resistors Are Parallel in This Circuit?

In summary, to replace all of the resistors in the given circuit with a single equivalent resistor, you can first simplify the circuit by replacing the pair of resistors in parallel with a single equivalent resistor. Then, you can replace the remaining pair of resistors in series with a single equivalent resistor. This will result in a circuit with only one equivalent resistor, which can be calculated using the equations for resistors in parallel and series.
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HEYJOHN
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Homework Statement



What single, equivalent resistor could replace all of the resistors in this circuit?HELP: If you study the diagram, you will see one pair of resistors which is in parallel. Replace this pair with a single equivalent resistor and re-draw the circuit.

HELP: If you have followed the previous suggestion, you will now see a pair of resistors which is in series. Replace this pair with a single equivalent resistor and re-draw the circuit again.

here is an image of the circuit: https://tycho-s.physics.wisc.edu/cgi/courses/shell/common/showme.pl?courses/phys104/fall09/homework/04/r2/ex1s95p3.gif
R1=2 R2=5 R3=13 R4=8

Homework Equations



Req parallel: 1/R1 + 1/R2 = 1/Req

Req series: R1 + R2 =Req

The Attempt at a Solution



I've tried to redraw the circuit where Req= R1 + R2 + [1/(1/R3)+(1/R4)] but that didn't work, any suggestions to which two resistors in the image are parallel to one another to get me started on redrawing the circuit, just to simplify the circuit?

Thanks
 
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  • #2
Just figured it out, Thanks
 

FAQ: Which Two Resistors Are Parallel in This Circuit?

How do I identify which two resistors are in parallel?

To identify which two resistors are in parallel, you need to look for two resistors that share the same two nodes or connection points. This means that both resistors have one end connected to the same node, and the other end connected to the other same node.

What is the equation for calculating equivalent resistance for two parallel resistors?

The equation for calculating equivalent resistance for two parallel resistors is:
Req = (R1 * R2) / (R1 + R2)

Can two resistors with different resistance values be in parallel?

Yes, two resistors with different resistance values can be in parallel. In fact, parallel resistors can have different resistance values and still have a total resistance that is less than either individual resistor.

How do parallel resistors affect the overall resistance of a circuit?

Parallel resistors decrease the overall resistance of a circuit. This is because the current has multiple paths to flow through, so the total resistance is less than the individual resistors.

Are parallel resistors more common in series circuits or parallel circuits?

Parallel resistors are more common in parallel circuits. In a parallel circuit, the resistors are connected between the same two nodes, which allows the current to split and flow through multiple paths. In a series circuit, the resistors are connected end-to-end, meaning the current can only flow through one path.

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