1.

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» Resistance of the portion of resistor forming an angle of `60^@` at the centre O of the circle is
`R_(1)=60^@/360^@ xx 24=4 Omega`
Resistance of remaining portion of resistor,
`R_(2)=24-4=20 Omega`
Here, resistance, `R_(1) and R_(2)` are in parallel, the effective resistance is
`R_(p)=(R_(1)R_(2))/(R_(1)+R_(2))=(4xx20)/(4+20)=80/24=10/3 Omega`


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