Question

In the figure, the equivalent resistance between the points $A$ and $B$ is

• A. 8 $\Omega$
• B. 6 $\Omega$
• C. 2 $\Omega$
• D. 4 $\Omega$

Answer 1

Answer: (B)

Since the resistances $R_{2}$ and $R_{3}$ are in parallel, their equivalent resistance will be $R_{23}=\frac{4 \times 4}{2 \times 4}=2 \,\Omega$
Now the equivalent circuit will be

There are three resistances in series.
Therefore the equivalent resistance will be $R_{ AB }=2+2+2=6 \,\Omega$