Thevenin equivalent circuit problem

2 replies · 4K views · last reply
leopard
Messages
123
Reaction score
0
Circuit schematic with a 12 V battery on the left feeding a ladder network of resistors R1 6Ω, R2 3Ω, R3 6Ω, R4 6Ω and R5 3Ω, with output terminals labelled V0 on the right.


I start with the Thevenin equivalent.

Circuit diagram reducing a resistor network between terminals A and B: R1, R2 and R3 on the top wire, R4 and R5 as vertical branches; below it, R-hat with R5 and R3 to A, then the simplified single resistor R between A and B.


[tex]\hat{R} = R_2 + R_4 || R_1 = 6 \Omega[/tex]
[tex]R_{Th} = R_3 + \hat{R} || R_5 = 8 \Omega[/tex]

The correct answer here should be [tex]2 \Omega[/tex]
 
From what I remember of this stuff, I agree with your answer of 8ohm. At any rate, surely it cannot be any less than R3, can it? Are you sure you are comparing to the appropriate answer?