a uniform ring has a radius R with centre C. A nd B are 2 pts on the circumference.such that angle theta is 60^{0}.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....

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