- #1
JJBladester
Gold Member
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- 2
Homework Statement
Reduce the resistor network to a single resistor. Go step-by-step and indicate the series or parallel combinations being reduced.
Homework Equations
For series resistors: [itex]R_T=R_1+R_2+R_3+\cdot \cdot \cdot +R_N[/itex]
For parallel resistors: [itex]R_T=\frac{1}{\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\cdot \cdot \cdot +\frac{1}{R_N}}[/itex]
∏-T Conversion:
[tex]R_1=\frac{R_BR_C}{R_A+R_B+R_C}[/tex]
[tex]R_2=\frac{R_AR_C}{R_A+R_B+R_C}[/tex]
[tex]R_3=\frac{R_AR_B}{R_A+R_B+R_C}[/tex]
The Attempt at a Solution
The first thing I noticed is that RA, RB, and RC are not in series and they're not in parallel. This led me to the ∏-T (Y-Δ) conversion. After the conversion, I was able to make further simplifications in steps (2) and (3).
In step (4), I get stuck because I don't know how to simplify the circuit given the way R5 is hooked up. Any pointers?