How to find effective resistance in a circuit.

In summary, the conversation discussed a problem with a diagram of resistors connected in a circuit. The person was unsure if the resistors were in parallel or series and asked for advice on how to determine this. They tried drawing the diagram with clearer arrangements and checking each resistor individually, but were still unsure. Eventually, a simplified diagram was provided for clarification. However, there was confusion about the value of one of the resistors, which appeared to have a value of 100 Ohms instead of 1 Ohm.
  • #1
Aceix
49
1
Question: Problem 1 of the attachment.
https://drive.google.com/file/d/0B72RSYQDrg1vcm84SmxFcjhyOFk/view?usp=docslist_api

Homework Equations


For parallel resistors: 1/R=1/R1 +1/R2

The Attempt at a Solution


I am sure the resistors are not in series but they also don't look convincing enough to be parallel. I am stuck.
 
Last edited:
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  • #2
You can draw them with a clearer arrangement, then some symmetry will be visible.
Alternatively, just check resistor by resistor: where is one side connected to? Where the other? Is this the same for any other resistor?
 
  • #3
mfb said:
You can draw them with a clearer arrangement, then some symmetry will be visible.
Alternatively, just check resistor by resistor: where is one side connected to? Where the other? Is this the same for any other resistor?
mfb said:
You can draw them with a clearer arrangement, then some symmetry will be visible.
Alternatively, just check
mfb said:
You can draw them with a clearer arrangement, then some symmetry will be visible.
Alternatively, just check resistor by resistor: where is one side connected to? Where the other? Is this the same for any other resistor?

I've tried all that to no avail. Pls check the link.
 
  • #4
Aceix said:
I've tried all that to no avail.
Show your work please.
 
  • #5
Simplified: https://drive.google.com/file/d/0B72RSYQDrg1vUlVpMVpJRlNnenc/view?usp=docslist_api
 
  • #6
That is not simplified, it is the same diagram as in the problem statement.

The 1 Ohm resistor got 100 Ohms for some reason?
 

Related to How to find effective resistance in a circuit.

1. How do I calculate the total effective resistance in a circuit?

To calculate the total effective resistance in a circuit, you need to know the individual resistances of each component in the circuit. Then, you can use the formula Rtotal = R1 + R2 + ... + Rn to find the sum of all the resistances. This will give you the total effective resistance of the circuit.

2. What is the difference between series and parallel circuits in terms of effective resistance?

In a series circuit, the resistances are connected one after the other, so the total effective resistance is the sum of all the individual resistances. In a parallel circuit, the resistances are connected side by side, so the total effective resistance is less than the smallest individual resistance. This is because the current has multiple paths to flow through, reducing the overall resistance.

3. How do I account for non-linear elements in calculating effective resistance?

Non-linear elements, such as diodes and transistors, cannot be simply added together like resistors in a circuit. In this case, you will need to use more advanced mathematical models, such as Kirchhoff's laws or thevenin's theorem, to calculate the effective resistance of the circuit.

4. Can the effective resistance of a circuit ever be negative?

No, the effective resistance of a circuit can never be negative. Resistance is a measure of how much a material resists the flow of current, so it cannot have a negative value. If you encounter a negative value when calculating resistance, it is likely due to a calculation error.

5. How does temperature affect the effective resistance of a circuit?

Temperature can affect the effective resistance of a circuit in two ways. First, it can cause the resistance of individual components to change. For example, the resistance of a conductor increases as temperature increases. Second, changes in temperature can also impact the overall circuit by causing thermal expansion or contraction, which can alter the physical layout and affect the effective resistance. Therefore, it is important to consider temperature when calculating effective resistance in a circuit.

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