Resistance: find the equivalent resistance.

AI Thread Summary
To find the equivalent resistance in a circuit, identify resistors in series or parallel. Resistors in series simply add together, while those in parallel require the inverse formula for total resistance. Start by simplifying pairs of resistors, calculating their effective resistance, and replacing them with a single equivalent resistor. This process is repeated until the entire circuit is simplified to a single equivalent resistance. Ultimately, the final resistance can be calculated by combining the results from both series and parallel configurations.
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Homework Statement



resistance.png


Homework Equations



Resistors in series (in a straight line) add. Like R + R = 2R.

And if in parallel, they inversely add.

1/R_total = 1/R1 + 1/R2

So, I have no idea how to "simplify" this.

Basically trying to find the total resistance.

Thanks.
 
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Start by identifying resistors which are in series or parallel. What do you find?
 
Resistors in series or parallel that could be in series or parallel with others resistors that could be in series and parallel...
 
Start with some pair of resistors that you can analyse without having to consider a third. That could be two in series with no other resistor connected to their junction, or two directly in parallel - i.e. that make a direct connection to each other at each end. Having found such pair, figure out what the effective resistance of the pair is and replace the pair by a single equivalent resistor. Repeat.
 
1) if R=1ohm

R eq= 2.5ohms

relation: (2R+R)x(2R+R) / (2R+R) + (2R+R) + R

2) inverse add last two R, answer will series add with the R in the line, u will eventually see only two R in parallel, then inverse add these last two to get your answer.
 
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