Question

Each resistance in the following figure is of $3\Omega$. The equivalent resistance between A and B will be

• A. $1.0\Omega$
• B. $2\Omega$
• C. $3\Omega$
• D. $4\Omega$

Answer 1

Answer: (B)

$2\Omega$

The given circuit is equivalent to the balanced Wheatstone's bridge. Hence,

$R_{s_1}$ is parallel to $R_{s_2}$ is parallel to $R_{s_3}$, as shown in figure.

Therefore,

$\frac{1}{R_{eq}}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$

$\frac{1}{R_{eq}}=\frac{3}{6}=\frac{1}{2}$

$R_{eq}=2\Omega$