A and B are 2 points on a circular ring made of uniform wire of resistance R- I f part of AB ring- subtends an angle -8203-theta at the centre C of the ring- Find the resistance of the ring between points A and B nbsp-

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Byju's Answer

Standard XII

Physics

Wheatstone Bridge

A and B are 2...

Question

A and B are 2 points on a circular ring made of uniform wire of resistance R. I f part of AB ring, subtends an angle theta at the centre C of the ring. Find the resistance of the ring between points A and B

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Solution

$S i n c e a n g l e 2 π o f a c i r c u l a r r i n g h a s r e s i s \tan c e = R T h e n a n g l e o f 1 ° s u b t e n d e d a t t h e c e n t r e o f t h e r i n g w i l l h a v e r e s i s \tan c e = \frac{R}{2 π} . T h e r e f o r e A B p a r t o f t h e r i n g m a k i n g a n g l e θ w i l l h a s r e s i s \tan c e = \frac{R}{2 π} \times θ . B u t θ = \frac{a r c A B}{r}, w h e r e r i s t h e r a d i u s o f c i c u l a r r i n g . S o p u t t i n g t h e v a l u e o f θ i n a b o v e e q u a t i o n, w e g e t, R e s i s \tan c e o f p a r t A B = \frac{R}{2 π} \times \frac{a r c A B}{r} .$

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A and B are 2 points on a circular ring made of uniform wire of resistance R. I f part of AB ring, subtends an angle ​theta at the centre C of the ring. Find the resistance of the ring between points A and B

A and B are 2 points on a circular ring made of uniform wire of resistance R. I f part of AB ring, subtends an angle theta at the centre C of the ring. Find the resistance of the ring between points A and B