Question

For the given circuit, find the effective resistance between A and C

• A. $2$ $\Omega$
• B. $4$ $\Omega$
• C. $6$ $\Omega$
• D. $3$ $\Omega$

Answer 1

Answer: (B)

$4$ $\Omega$

The equivalent resistance of parallel combination between A and B is given by-

$\frac{1}{R_1}=\frac{1}{6}+\frac{1}{3}=\frac{1+2}{6}$

$⟹R_1=2\Omega$

Between B and C-

$\frac{1}{R_2}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{1+1+1}{6}$

$⟹R_2=2\Omega$

Now, the combination $R_1$ and $R_2$ are in series.

Hence equivalent resistance is

$R_{eq}=R_1+R_2=2+2$

$⟹R_{eq}=4\Omega$

Answer-(B)