Question

Three resistance $5\Omega ,5\Omega$ and $6\Omega$ are connected as shown in figure. If the point $\text{S}$ divides the resistance $6\Omega$ into two equal halves, the resistance between points $\text{P}$ and $\text{S}$ is

• A. $8\Omega$
• B. $6\Omega$
• C. $10\Omega$
• D. $4\Omega$

Answer 1

The correct option is D $4\Omega$

We can simplify the diagram as shown below.


Both left and right side, $5\Omega \&3\Omega$ are in series.

So, $R_L=R_H=5+3=8\Omega$


So, equivalent resistance of the circuit will be

$R_{eq}=\frac{8}{2}=4\Omega$

Hence, option $\left(d\right)$ is correct.

Key concept: If $n$ identical resistance connected in parallel combination, effective resistance will be $R_{eq}=R/n$