Parallel/Series circuit theory/concepts

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In summary, a parallel circuit allows for multiple paths for current to flow, while a series circuit only has a single loop for current to travel through. In a parallel circuit, adding more branches decreases the total resistance and keeps the voltage constant, while in a series circuit, the total resistance increases as more components are added. Kirchhoff's laws are important in analyzing both types of circuits. To calculate the total resistance in a series circuit, you add up the individual resistances, while in a parallel circuit, you use the formula 1/Rt = 1/R1 + 1/R2 + ... + 1/Rn. In a parallel circuit, the total resistance will always be less than the individual resistances, but in a
  • #1
pugfug90
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In my 1st pic.. would those be considered one, two, or no "branches"? Do branches only exist within parallel circuits?

In my 2nd pic.. The dark blue "resistors"/"resistances" are one branch? And the diagonals separating the "resistors".. Are they simply wire (or medium)?

And what is a "junction"?
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Summarized..
Am I correct in deducing that a "branch" only exists in a parallel circuit? And a branch is basically.. all of the "branches" of a parallel resistor.. And if there are resistors in series within a parallel resistor, you'd compound the series to form one resistor..

And.. what is the term for those jaggy things? Any difference between resistors and resistances? But you definitely don't call them circuits, right, since a circuit is the whole thing..

And what is a junction?

Thanks:smile:
 

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  • #2
For your first circuit, you can also say that all resistors are on the same branch so they have the same amount of current through them. You can think of a branch as a path way to a node.

For the 2nd circuit, the dark blue resistors are indeed on a branch by themselves. That "diagonal", is just a piece of wire.

And if there are resistors in series within a parallel resistor, you'd compound the series to form one resistor..
Yup, that's how you'd do it. Although I think you meant to say "series within a parallel branch."
And.. what is the term for those jaggy things? Any difference between resistors and resistances? But you definitely don't call them circuits, right, since a circuit is the whole thing..
Those "jaggy" things are resistors. Resistance is a property of resistors. Almost everything has resistance.

A junction is a point where two or more components connect.
 
  • #3
Thanks :-)

"For your first circuit, you can also say that all resistors are on the same branch so they have the same amount of current through them. You can think of a branch as a path way to a node."

So if the red resistor was on the "south" part of the circuit while the blue one was still on the "east", would that still be 1 branch, or 2 branches?

"A junction is a point where two or more components connect."
That would be like in Diagram 2, where the two diagonals converge or diverge? Or in both, where the wire becomes perpendicular with another wire?
 
  • #4
So if the red resistor was on the "south" part of the circuit while the blue one was still on the "east", would that still be 1 branch, or 2 branches?
It does note matter if the resistors were oriented north-south and east-west to each other. The important thing for this series circuit is that the same current will flow through them, therefore both of them must be on the same branch.
"A junction is a point where two or more components connect."
That would be like in Diagram 2, where the two diagonals converge or diverge? Or in both, where the wire becomes perpendicular with another wire?
Yup, that's correct. The ends or leads of the resistors meet at a point or connect, therefore it is a junction.
For the latter part of your question regarding the perpendicular situation. I'm not sure what exactly you are referring to. Could it be bottom and top of the both parallel branches? If so, it is a junction because multiple components connect at a given point.
 
  • #5
On both of them, the general shape is a rectangle. Could I say that the corners of the rectangles are junctions?
 
  • #6
Yes, you can say that for the two parallel branches, becuase at any corner, we have a lead from two resistors connecting.
 

1. What is the difference between a parallel and series circuit?

A parallel circuit is a circuit in which the components are connected in branches, allowing multiple paths for the current to flow. In contrast, a series circuit is a circuit in which the components are connected in a single loop, with the current flowing through each component in succession.

2. How does resistance affect the behavior of a parallel circuit?

In a parallel circuit, the total resistance decreases as more branches are added. This is because each branch provides an additional path for the current to flow, resulting in less resistance overall. Additionally, in a parallel circuit, the voltage across each component remains the same, while the current in each branch is divided between the components based on their respective resistances.

3. What is the significance of Kirchhoff's laws in analyzing series and parallel circuits?

Kirchhoff's laws, specifically Kirchhoff's voltage law and Kirchhoff's current law, are fundamental principles that govern the behavior of series and parallel circuits. These laws help to determine the voltage and current in different parts of the circuit and can be used to solve complex circuit problems.

4. How can I calculate the total resistance in a series or parallel circuit?

In a series circuit, the total resistance is equal to the sum of the individual resistances. In a parallel circuit, the total resistance can be calculated using the formula 1/Rt = 1/R1 + 1/R2 + ... + 1/Rn, where Rt is the total resistance and R1, R2, etc. are the individual resistances.

5. How does the addition of more components affect the total resistance in a parallel circuit?

In a parallel circuit, the total resistance decreases as more components are added, as each additional component provides an additional path for the current to flow. This means that the total resistance will always be less than the resistance of the individual components in a parallel circuit. However, the total resistance in a series circuit increases as more components are added, as the current must pass through each component in succession, resulting in more resistance overall.

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