Question

The equivalent resistance between points A and B in the given circuit is?

• A. $3\Omega$
• B. $6\Omega$
• C. $12\Omega$
• D. $1.5\Omega$

Answer 1

The correct option is D $1.5\Omega$

The given circuit having parallel and series combination of resistance so we can calculate, as
$R_1=3+3=6\Omega$
$R_2=3+3=6\Omega$
$\frac{1}{R_3}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{1}{6}+\frac{1}{6}$
$\Rightarrow R_3=3\Omega$
$R_4=3\Omega$
$\frac{1}{R}=\frac{1}{R_3}+\frac{1}{R_4}=\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$
or $R=1.5\Omega$