# Solve Resistance Problem: Circuit Total Resistance

• Pwease
In summary, the conversation discusses finding the total resistance of a circuit, however there are issues with the provided diagram. The suggested solution is to simplify the circuit through delta-Y transforms, but the process may be messy. The estimated total resistance is around 2.4 Ohms.
Pwease

## Homework Statement

Can someone please give me insight on how to solve for the total resistance of this circuit? Thank you

## The Attempt at a Solution

You can't.
1. the picture does not show a circuit.
2. the picture does not show the two points that the resistance is to be taken between.
3. there appears to be a short-circuit between the left and right-most extreme nodes.

Once the above issues are sorted out - you will find the total resistance by simplifying the circuit. It can help to redraw it.

Thank you for the scrutiny. Is this satisfactory now? I am sorry I there are still errors to tend to in the diagram, I hope I was able to convey enough information this time

Total resistance between nodes A and B

Last edited:
I don't see any symmetry that would help you out here so it seems to me you'll just have to do a ton of delta-Y transforms and simplify the circuit bit by bit. Looks to conceptually trivial but VERY messy to actually carry out.

I suggest a box of assorted precision-resistors and a good ohmmeter.

I'm tempted to say "about 2 ohms".

There is a 1 and a 2 "in series" between a and b with mostly higher values "in parallel".

If you model it as a 1+2 in parallel with a 3+4+5 you get about 2.4 Ohms.

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

To calculate the total resistance in a circuit, you can use Ohm's Law which states that resistance (R) is equal to voltage (V) divided by current (I). Alternatively, you can use the formula R = R1 + R2 + R3... where R1, R2, R3, etc. are the individual resistances in the circuit.

## 2. What is the unit of resistance?

The unit of resistance is ohms (Ω).

## 3. What is the difference between series and parallel circuits in terms of resistance?

In a series circuit, the resistances are connected one after the other, so the total resistance is equal to the sum of all the individual resistances. In a parallel circuit, the resistances are connected side by side, so the total resistance is less than the smallest individual resistance.

## 4. Can the total resistance in a circuit be negative?

No, resistance is a physical property that can never be negative. If you get a negative value when calculating the total resistance, it is likely due to an error in your calculations.

## 5. How does the length and thickness of a wire affect resistance?

The longer the wire, the higher the resistance, as the electrons have to travel a longer distance. The thicker the wire, the lower the resistance, as there is more space for the electrons to flow. This relationship follows Ohm's Law, where resistance is directly proportional to length and inversely proportional to area (thickness) of the wire.

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