Question

Find the equivalent resistance between points A and B in the circuit shown in the diagram? Every resistor shown here is of $2\Omega$.

• A. $2.33\Omega$
• B. $1.33\Omega$
• C. $3.33\Omega$
• D. $4\Omega$

Answer 1

The correct option is B $1.33\Omega$

The first column of resistors are parallel to one another as their ends are connected to each other’s ends. So the first column simply becomes $Req=\frac{R}{3}$. (you can use the parallel resistor equation to get to this.)
The second column is effectively the same. Here also $Req=\frac{R}{3}$
These two combinations are in series with each other.
So, the net $Req=\frac{R}{3}+\frac{R}{3}$
$Req=\frac{2R}{3}$.
Since R is $2\Omega$,
$Req=1.33\Omega$