Engineering Board Exam Reviewer · Circuit Theorems and Conversions · hard
The bridge network shown has R1=30, , R2=60, , R3=15, , R4=30, , and R5=90, and is driven by a 36 V source. Use a delta-wye conversion to find the total resistance seen by the source.
- 225,
- 30,
- 120,
- 60,
Answer
B. 30,
Solution
The delta R1-R2-R5 (nodes top, B, C) converts to a wye with RT=R1R2/R1+R2+R5=10, , RB=R1R5/R1+R2+R5=15, , and RC=R2R5/R1+R2+R5=30, . Then the two legs in parallel are (RB+R3) (RC+R4)=(30, ) (60, )=20, , and Req=RT+20, =30, .
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