A resistor of `24 Omega` resistance is bent in the form of a circle as
.
What is the effective resistance between points A and B?

Answer

`3.28 Omega`

Explanation

Resistance of portion of resistor forming an angle of `45^(@)` an angle of `45^(@)` at the center `O` is
`R_(1) = (30)/(360^(@)) xx 45^(@) = (15)/(4) Omega`
Resistance of remaining portion,
`R_(2) = 30 - (15)/(4) = (105)/(4) Omega`
Here A and B their effective resistance is
`R_(p) = (R_(1)R_(2))/(R_(1) +R_(2)) = ((15//4) xx(105//4))/((15//4) + (105//4)) = 3.28 Omega`