Six equal resistances are connected between points $P, Q$ and $R$ as shown in the figure. Then, the resistance will be maximum between

Question

Six equal resistances are connected between points P , Q and R as shown in the figure. Then, the resistance will be maximum between

TestHub · Accepted Answer

The combination of resistances is shown in figure.

Maximum resistance will be between $P$ and $Q .$

$R_{P Q} = \frac{R (\frac{R}{3} + \frac{R}{2})}{R + \frac{R}{3} + \frac{R}{2}} = \frac{5 R^{2} / 6}{11 R / 6} = \frac{5 R}{11}$

$R_{Q R} = \frac{\frac{R}{2} (R + \frac{R}{3})}{11 R / 6} = \frac{2 R^{2} / 3}{11 R / 6} = \frac{4 R}{11}$

$R_{P R} = \frac{\frac{R}{3} (R + \frac{R}{2})}{11 R / 6}$

$= \frac{R^{2} / 2}{11 R / 6} = \frac{3 R}{11}$

Hence, the maximum value lies between $P$ and $Q .$

Physics - Current Electricity Question with Solution | TestHub

Options:

Doubts & Discussion