Question

Calculate the equivalent resistance between the points A and B in the given circuit in ohms.

• A. 6
• B. 5
• C. 2
• D. 3

Answer 1

The correct option is A 6

Rearranging the resistances the given circuit will form a circuit(Wheatstone's bridge) as shown in figure.
Let, $r_1,r_2,r_3$,and $r_4$ are the resistances in all branches, as bridge is balanced no current will flow through branch CD
Hence, equivalent resistance $R$ is given by,
$\frac{1}{R}=\frac{1}{r_1+r_2}+\frac{1}{r_3+r_4}$
$\frac{1}{R}=\frac{1}{12}+\frac{1}{12}=\frac{1}{6}$
$\therefore R=6\Omega$