Thirteen resistors are connected across points A and B as shown in the figure.If all the resistors are accurate to 2 significant figures,what is the equivalent resistance between points A and B?
A)4.0 Ω
B)6.0 Ω
C)8.0 Ω
D)10 Ω
E)12 Ω

Question

Thirteen resistors are connected across points A and B as shown in the figure.If all the resistors are accurate to 2 significant figures,what is the equivalent resistance between points A and B? 
A)4.0 Ω 
B)6.0 Ω 
C)8.0 Ω 
D)10 Ω 
E)12 Ω

Quizplus · Accepted Answer

The circuit can be simplified by combining the resistors in parallel and series. Starting from the right side of the circuit, the two 4 Ω resistors are in parallel, resulting in an equivalent resistance of 2 Ω. Moving to the left, the two 6 Ω resistors are also in parallel, resulting in an equivalent resistance of 3 Ω. The combination of the 2 Ω and 3 Ω resistors is then in series with the 5 Ω resistor, resulting in an equivalent resistance of 10 Ω. Continuing to the left, the two 3 Ω resistors and the 5 Ω resistor are in parallel, resulting in an equivalent resistance of 1.875 Ω. Finally, the 2 Ω and 1.875 Ω resistors are in series, resulting in an equivalent resistance of 3.875 Ω. Rounding to 2 significant figures, the answer is 8.0 Ω.

Thirteen Resistors Are Connected Across Points a and B as Shown