1. Tardigrade
  2. Question
  3. Physics
  4. The equivalent resistance between the points a and b of the electrical network shown in the figure is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The equivalent resistance between the points $a$ and $b$ of the electrical network shown in the figure isPhysics Question Image

WBJEEWBJEE 2013Current Electricity

Solution:

The equivalent circuit for the given electrical network is
image
This is a balanced Wheatstone bridge, so the arm containing $2 r$ not in use. So, we have
image
So, the equivalent resistance between $a$ and $b$ is
$ \frac{1}{r^{\prime}}=\frac{1}{2 r}+\frac{1}{2 r} $
$\Rightarrow r^{\prime}=\frac{2 r}{2}=r $