Resistance: find the equivalent resistance.

In summary, the conversation discusses how to find the total resistance in a circuit with resistors in series and parallel. It is suggested to identify pairs of resistors that can be analyzed without considering a third and to replace them with a single equivalent resistor. The process is repeated until only two resistors remain, which can then be combined using inverse addition to find the total resistance.
  • #1
LostShadow
12
0

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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  • #2
Start by identifying resistors which are in series or parallel. What do you find?
 
  • #3
Resistors in series or parallel that could be in series or parallel with others resistors that could be in series and parallel...
 
  • #4
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.
 
  • #5
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.
 

1. What is resistance?

Resistance is a measure of how much a material or component opposes the flow of electric current. It is measured in ohms (Ω) and is represented by the symbol R.

2. How is equivalent resistance calculated?

Equivalent resistance is calculated by using Ohm's law, which states that the total resistance in a series circuit is equal to the sum of individual resistances. In a parallel circuit, the equivalent resistance is equal to the reciprocal of the sum of the reciprocals of individual resistances.

3. What is the difference between series and parallel circuits?

In a series circuit, all the components are connected in a single loop, and the same amount of current flows through each component. In a parallel circuit, the components are connected in separate branches, and the current is divided among them.

4. How does the type of material affect resistance?

Resistance is affected by the type of material used in a circuit. Materials with high resistivity, such as rubber or plastic, have a higher resistance compared to materials with low resistivity, such as copper or gold.

5. Can resistance be negative?

No, resistance cannot be negative. It is a measure of opposition to current flow, and a negative resistance would mean that the current is flowing in the opposite direction of the applied voltage.

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