The equivalent resistance of the circuit in the figure is 79.2 ohms.
- We Analyze the bottom two resistors (17 Ω and 70 Ω):
These resistors are in parallel. The equivalent resistance of resistors in parallel is given by:1/Req = 1/R1 + 1/R21/Req = 1/17 + 1/70Req = 13.6 Ω (approx)
- Analyze the parallel resistors (13.6 Ω and 60 Ω):
These resistors are in parallel. The equivalent resistance can be found using the same formula as above:1/Req = 1/13.6 + 1/60Req = 10.2 Ω (approx)
- Analyze the series resistors (10.2 Ω and 11.5 Ω):
These resistors are in series. The equivalent resistance of resistors in series is the sum of their individual resistances.Req = 10.2 Ω + 11.5 ΩReq = 21.7 Ω (approx)
- We then analyze the parallel resistors (21.7 Ω and 15.5 Ω):
These resistors are in parallel. The equivalent resistance can be found using the same formula as above:1/Req = 1/21.7 + 1/15.5Req = 79.2 Ω