What's the total amount of resistance in this kind of circuit?

In summary, the conversation discusses the treatment of extra connections in a circuit and how to calculate the total resistance. It is determined that the pairs of resistors are in parallel and the total resistance can be easily calculated in this case. The potential problems that could arise if the connections were different are also mentioned.
  • #1
Reneee
4
2
TL;DR Summary
Homework Statement::
(for another Problem) I just need to know what the total amound of resistance would be for the following circuit?
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I am not sure how to treat the extra connections K12 and K34.
My first guess would be (R1 and R2) are parallel and so are (R3 and R4) and (R5 and R6) ,so
R_{total}= {R1*R2} /{R1+R2} +...

Or maybe the behaviour is like this:
(R1, R3, R5) are in series , and (R2 R4 R6) are, thus
R_{total}= (R1+R3+R5)*(R2+R4+R6) / (R1+R3+R5)+(R2+R4+R6)?
 
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  • #2
Your first method is correct. (R1, R2, R3) cannot be in series because where they connect to each other there's a third connection that could potentially add or subtract current from the connection point.
 
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  • #3
alright, thank you!
 
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  • #4
You're very welcome!
 
  • #5
Reneee said:
Summary:: Homework Statement::
(for another Problem) I just need to know what the total amound of resistance would be for the following circuit?

I am not sure how to treat the extra connections K12 and K34.
Wired together, as in the diagram, the pairs are at the same potential so you have three pairs of parallel connected resistors. Easy when you can simplify a circuit in this way.
The problems would arise if K1 and K2 were connected by resistors with non zero value.
 

Related to What's the total amount of resistance in this kind of circuit?

1. What is resistance in a circuit?

Resistance is a measure of how difficult it is for electric current to flow through a material. It is measured in ohms (Ω) and is represented by the symbol "R" in equations.

2. How is total resistance calculated in a circuit?

The total resistance in a circuit can be calculated by adding up the individual resistances in series or using the reciprocal formula for resistors in parallel. In more complex circuits, the use of Ohm's Law and Kirchhoff's laws may be necessary to determine the total resistance.

3. What factors affect the total resistance in a circuit?

The total resistance in a circuit can be affected by the type of material used for the conductors, the length and cross-sectional area of the conductors, and the temperature of the conductors. The number and arrangement of resistors in a circuit also play a role in determining the total resistance.

4. How does resistance impact the flow of electric current?

The higher the resistance in a circuit, the lower the flow of electric current. This is because resistance restricts the movement of electrons, causing them to slow down and reduce the overall flow of current. Conversely, lower resistance allows for a higher flow of current.

5. Can the total resistance in a circuit be reduced?

Yes, the total resistance in a circuit can be reduced by adding resistors in parallel, which decreases the overall resistance. Additionally, using materials with lower resistivity and increasing the cross-sectional area of the conductors can also decrease the total resistance in a circuit.

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