Question

Six identical resistors are connected as shown in the figure.
The equivalent resistance will be

• A. maximum between P and R
• B. maximum between Q and R
• C. maximum between P and Q
• D. all are equal

Answer 1

The correct option is C maximum between P and Q

Resistance on PQ side=R,

Resistance on QR side=R/2

Resistance on PR side=R/3

$\text{Resistance along PQ}$

$\left(\frac{R}{2}series\frac{R}{3}\right)parallelR$

$R_{eq}=\frac{5R}{11}$

$\text{Resistance along QR}$

$\left(\frac{R}{3}seriesR\right)parallel\frac{R}{2}$

$R_{eq}=\frac{4R}{11}$

$\text{Resistance along PR}$

$\left(\frac{R}{2}seriesR\right)parallel\frac{R}{3}$

$R_{eq}=\frac{3R}{10}$

It is clear that resistance along PQ is highest.

Option $\text{C}$ is the correct answer.