Circuit Analysis and resistance

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Homework Help Overview

The discussion revolves around a circuit analysis problem involving the calculation of equivalent resistance and current in a resistor network. The circuit includes multiple resistors with specified values and a voltage source.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the confusion regarding the arrangement of resistors, particularly a diagonal resistor. Suggestions include redrawing the circuit for clarity and identifying series and parallel combinations of resistors.

Discussion Status

Participants are actively engaging with the problem, offering guidance on how to approach the circuit analysis. There is an emphasis on understanding the configuration of resistors and the appropriate equations for combining them.

Contextual Notes

Some participants note the absence of certain equations in the original post and question the clarity of the circuit setup, indicating potential assumptions that may need to be addressed.

gnarrr
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Homework Statement



(a) What is the equivalent resistance of the network of resistors in Figure 6.13?
(b) What current exists in the 3.0 Ω resistor?

R1=2ohms, R2=6ohms, R3=6ohms, R4=6ohms, R5=6ohms, R7=3ohms, V1=6V

Homework Equations



V=IR
1/Rt=1/R1+1/R2+1/R3...

The Attempt at a Solution



(a)The diagonal resistor confused me.

1/Rt1=1/2+1/6
Rt1=1.5ohms

1/Rt2=1/6+1/6+1/6+1/6
Rt2=1.5ohms

Rt=1.5+1.5+3.0=6.0ohms

(b)Tried, but may be wrong way to do it.

V=IR
I=V/R
I=6.0V/6.0ohms
I=1.0A
 
Last edited by a moderator:
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gnarrr said:
(a)The diagonal resistor confused me.
In that case, redraw the circuit yourself, so that resistor isn't diagonal. Then look for a pair of resistors that is in series or a pair that is in parallel. (By the way: you didn't write the equation for combining resistors in series, but do you know what it is?)
 
diazona said:
In that case, redraw the circuit yourself, so that resistor isn't diagonal. Then look for a pair of resistors that is in series or a pair that is in parallel. (By the way: you didn't write the equation for combining resistors in series, but do you know what it is?)

Rt=R1+R2+R3...
 
gnarrr said:
Rt=R1+R2+R3...
Cool, just checking. You will have to use that.
 
The two resistors at the top right hand corner are in series and the resultant is in parallel with diagonal resistor.
 

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