Are Resistors in Parallel if Another Resistor is Between Them?

In summary, the 3 ohm and 2 ohm resistors are in parallel, and then that combination is in series with the 1 ohm resistor. The combination of all three of those is in parallel with the 5 ohm resistor. Although the equivalent resistance of the total circuit can still be found using other methods, the 3 ohm and 5 ohm resistors cannot be considered as being in parallel directly. However, the 3 ohm and 2 ohm resistors can be considered as being in parallel.
  • #1
eurekameh
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For the circuit shown, is the 3 ohm resistor in parallel with the 5 ohm resistor if the 1 ohm resistor is "in the way?"
 
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  • #2
The three and two ohm resistors are in parallel, and then that combination is in series with the one ohm resistor. Then the combination of all three of those is in parallel with the five ohm resistor.
 
  • #3
eurekameh said:
For the circuit shown, is the 3 ohm resistor in parallel with the 5 ohm resistor if the 1 ohm resistor is "in the way?"
No.

You can still find the equivalent resistance of the total circuit by other methods (considering all 4 resistors), but you can't consider the 3 Ohm and 5 Ohm resistors as being in parallel directly.

You can consider the 3 Ohm and 2 Ohm resistors as being in parallel, however.
 
  • #4
Thanks.
 
  • #5


Yes, the 3 ohm resistor is still considered to be in parallel with the 5 ohm resistor even if the 1 ohm resistor is "in the way." This is because parallel resistors are defined as resistors that have the same voltage across them and are connected at both ends. In this circuit, the 3 ohm and 5 ohm resistors are still connected at both ends, even if there is an additional resistor in between them. The presence of the 1 ohm resistor may affect the overall resistance of the circuit, but it does not change the fact that the 3 ohm and 5 ohm resistors are in parallel.
 

Related to Are Resistors in Parallel if Another Resistor is Between Them?

1. What is the purpose of using parallel resistors in a circuit?

Parallel resistors are used in a circuit to decrease the overall resistance and increase the current flow. This is because the total resistance of parallel resistors is less than the individual resistors.

2. How do you calculate the total resistance of parallel resistors?

To calculate the total resistance of parallel resistors, you can use the formula: 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn. This means you take the reciprocal of each individual resistance and add them together, then take the reciprocal of the sum to find the total resistance.

3. Can you use any value of resistors in parallel?

Yes, you can use any value of resistors in parallel as long as they have the same voltage across them. However, it is recommended to use resistors with similar values to ensure equal current flow through each resistor.

4. How does the current flow through parallel resistors?

In parallel, the current splits into multiple paths, with each path having its own resistor. The amount of current flowing through each resistor is inversely proportional to its resistance. This means that the more resistance a resistor has, the less current will flow through it.

5. Can parallel resistors be used in series?

No, parallel resistors cannot be used in series. Series resistors have a single current path, while parallel resistors have multiple current paths. Mixing these two configurations will result in an incorrect total resistance calculation and could potentially damage the circuit.

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