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?
Text Solution
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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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