Question

Each resistance shown in figure is $2\Omega$. The equivalent resistance between $A$ and $B$ is

• A. $2\Omega$
• B. $4\Omega$
• C. $8\Omega$
• D. $1\Omega$

Answer 1

The correct option is D $1\Omega$

Given circuit is in series parallel arrangement,
Equivalent resistance of upper arms
$=2+2=4\Omega$
Equivalent resistance of lower arms
$=2+2=4\Omega$

so equivalent resistance $\frac{1}{R}=\frac{1}{4}+\frac{1}{2}+\frac{1}{4}$
$\frac{1}{R}=1\Omega$