Question

find the equivalent resistance between a and b​

Answer 1

$\large \: Answer: 2ohm$

Procedure

• There is symmetry at vertical line of symmetry so current will flow same on all symmetric resistarshence
• the upper and lower 2 ohm resistors can be separated from centerwhich make the circuit having 3 wires in parallel and resistance
• Than resistance of lower and upper wire is 8 ohm and that of center wire is 4 ohm

Total resistance

$\frac{1}{r} = \frac{1}{8} + \frac{1}{8} + \frac{1}{4}$

$\large \frac{1}{r} = \frac{1}{2} \rightrightarrows \: r = 2ohm$