Circuit Analysis and resistance

AI Thread Summary
The discussion focuses on calculating the equivalent resistance of a circuit with multiple resistors and determining the current through a specific resistor. The equivalent resistance was found to be 6.0 ohms, calculated by combining resistors in series and parallel configurations. The current through the 3.0 ohm resistor was calculated using Ohm's law, resulting in 1.0 A. Participants suggested redrawing the circuit for clarity and emphasized the importance of correctly identifying series and parallel resistor combinations. The conversation highlights common challenges in circuit analysis, particularly with complex resistor arrangements.
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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
 
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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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