What is the Equivalent Resistance in a Series Circuit?

In summary: R2 and R3 are in series. Then R1 is in parallel with both R2 and R3. Replace R2 and R3 with a single resistor and draw the figure. R1 is in parallel with both R2 and R3. Replace R2 and R3 with a single resistor and draw the figure. In summary, the equivalent resistance of R2 and R3 is in parallel with R4.
  • #1
Dr.Phy
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Hi guys,I'm new here and maybe I'm posting this homework in a wrong part of the forum.I tried to find the equivalent resistance.It may be a simple homework but I am learning first for the electricy physic.I tried to find Re first R2+R3=4 Ω and than found Re=1/4 Ω + 1/2 Ω + 1/2 Ω can i slove it this way? (P.s sorry for my bad english.)
 

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  • #2
Dr.Phy said:
Hi guys,I'm new here and maybe I'm posting this homework in a wrong part of the forum.I tried to find the equivalent resistance.It may be a simple homework but I am learning first for the electricy physic.I tried to find Re first R2+R3=4 Ω and than found Re=1/4 Ω + 1/2 Ω + 1/2 Ω can i solve it this way? (P.s sorry for my bad english.)


R1 is not parallel with the resultant of R2, R3, R4. Check.

ehild
 
  • #3
Can it be formed so?
 

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  • #4
Dr.Phy said:
Can it be formed so?

Yes. :smile:

ehild
 
  • #5
ehild said:
Yes. :smile:

ehild
Then I did it so:R23=2Ω +2Ω =4Ω and 1/Re=1/4Ω + 1/2Ω +1/2Ω = 5/4Ω Re=4Ω /5? Is this the right way of slowing it?
 
  • #6
Dr.Phy said:
Then I did it so:R23=2Ω +2Ω =4Ω and 1/Re=1/4Ω + 1/2Ω +1/2Ω = 5/4Ω Re=4Ω /5? Is this the right way of solwing it?

No. What does parallel connection mean? Explain which resistors are connected in series and which are parallel.


ehild
 
  • #7
R2,R3 are connected in series.And R4 R1 in paralel?
 
  • #8
Dr.Phy said:
R2,R3 are connected in series.

Yes.

Dr.Phy said:
And R4 R1 in paralel?

No. The equivalent resistance of R2 and R3 is in parallel with R4. Do you see why?
 
  • #9
Pranav-Arora said:
Yes.



No. The equivalent resistance of R2 and R3 is in parallel with R4. Do you see why?

Yes but i don't know how is it connected the R1,and how to find the eq reasistance of this circuit can u help me :/ .
 
  • #10
Dr.Phy said:
Yes but i don't know how is it connected the R1,and how to find the eq reasistance of this circuit can u help me :/ .

Draw figures after each reduction. R2 and R3 are in series as you said. Replace them with a single resistor and draw the figure.
 

FAQ: What is the Equivalent Resistance in a Series Circuit?

What is equivalent resistance?

Equivalent resistance refers to the combined resistance of multiple resistors in a circuit, reduced to a single resistor. It is the resistance that would produce the same current if it were inserted in place of the entire network of resistors.

How is equivalent resistance calculated?

The equivalent resistance of resistors in series is calculated by adding up the individual resistances. For resistors in parallel, the equivalent resistance is calculated using the formula 1/R = 1/R1 + 1/R2 + ... + 1/Rn. For more complex circuit configurations, Kirchhoff's laws are used to calculate equivalent resistance.

Why is equivalent resistance important?

Equivalent resistance is important because it simplifies complex circuits, making it easier to analyze and understand the behavior of the circuit. It also allows us to determine the total resistance in a circuit, which is necessary for calculating current and voltage.

What is the effect of adding resistors in series vs. in parallel?

Adding resistors in series increases the equivalent resistance, resulting in a smaller current and larger voltage drop. Adding resistors in parallel decreases the equivalent resistance, resulting in a larger current and smaller voltage drop.

Can the equivalent resistance of a circuit be negative?

No, the equivalent resistance of a circuit cannot be negative. Resistance is a physical property that represents the opposition to the flow of current, and it cannot have a negative value. If the calculated equivalent resistance is negative, it is likely due to an error in the calculations.

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