Question

In the given circuit, the equivalent resistance between the terminal $A$ and $B$ is __$\Omega$

Answer 1

Correct Answer: 10

The correct answer is 10.

$R_{eq}=3+(2\Vert 2)+6$
$R_{eq}=3+1+6$
$R_{eq}=10\Omega$

Answer 2

1. Observe the circuit: 
The \(4 \, \Omega\) resistors are shorted as they are connected across the same potential. Hence, they can be removed. 
2. The effective circuit becomes: \[ R_{\text{eq}} = 3 + \frac{2 \parallel 12}{1} + 6, \] where: \[ 2 \parallel 12 = \frac{2 \times 12}{2 + 12} = \frac{24}{14} = 1.71 \, \Omega. \] 
3. Substituting: \[ R_{\text{eq}} = 3 + 1.71 + 6 = 10 \, \Omega. \] 
Thus, the equivalent resistance is 10.00 \(\Omega\). 
Simplify circuits by removing elements with no current flow. Combine series and parallel resistors step by step for accurate results.