Question

Find the equivalent resistance across the points A and B in the given circuit.

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

Answer 1

The correct option is B

2 $\Omega$

Resistors 'a' and 'b' are connected in series, so the equivalent resistance, $R_1$ is
$R_1=2+2=4\Omega$

Resistors 'c' and 'd' are connected in series, so the equivalent resistance, $R_2$ is
$R_2=2+2=4\Omega$

$R_1$ and $R_2$ are in parallel, so the equivalent resistance is
$\frac{1}{R_{equ}}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$
Or, $R_{equ}=2\Omega$