A number of resistors are connected across points A and B as shown in the figure.What is the equivalent resistance between points A and B?
A)4 Ω
B)6 Ω
C)8 Ω
D)10 Ω
E)12 Ω

Question

A number of resistors are connected across points A and B as shown in the figure.What is the equivalent resistance between points A and B? 
A)4 Ω 
B)6 Ω 
C)8 Ω 
D)10 Ω 
E)12 Ω

Quizplus · Accepted Answer

Firstly, we can simplify the resistors in parallel, as follows:

- The two 3 Ω resistors can be simplified to an equivalent resistance of 1.5 Ω (using the formula 1/R = 1/R1 + 1/R2)
- The two 2 Ω resistors can be simplified to an equivalent resistance of 1 Ω.
- The two 1 Ω resistors can be simplified to an equivalent resistance of 0.5 Ω.

We can then simplify the three remaining resistors in series, as follows:

- The 1.5 Ω and 1 Ω resistors can be simplified to an equivalent resistance of 2.5 Ω.
- The 0.5 Ω resistor can be added to this to give a total equivalent resistance of 3 Ω.

Therefore, the equivalent resistance between points A and B is 3 Ω, which corresponds to answer choice C.

A Number of Resistors Are Connected Across Points a and B