a uniform ring has a radius R with centre C. A nd B are 2 pts on the circumference.such that angle theta is 60⁰.find the equivalent resistance between pt A and B?

We know that a cricle has 360^o, so 60^o would represent 1/6th of the length (circumference) of the circle.

now,

le the resistance of  whole ring i.e. 2πR be r.

therefore the resistance of wire between points A and B is r/6

and the resistance of rest part of ring is 5r/6

now as these two resistances are in parallel combination

therefore equivalent resistance will be

1/r_eq = 1/r/6 + 1/5r/6

thus, we have

r_eq = 5r/36....