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If BCD is semicircle arc in the plane of AB and DE with center at O and radius r and line DB makes angle a with a with DE then find the magnitude of magnetic induction produce at point O

If BCD is semicircle arc in the plane of AB and DE with center at O and radius r and line DB makes angle a with a with DE then find the magnitude of magnetic induction produce at point O

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Grade:12th pass

1 Answers

Abhijeet kumar
13 Points
2 years ago
WE know for  SEMIN INFINITE WIRE we have\mu i/4\Pi d...therefore it is  \mu i/4\Pi r\sin\alpha ..  IT IS for one semi infinite wire for 2 semi infinite wire we have to multiply by 2 i.e.2\mu i/4\Pi r\sin\alpha = \mu i/2\Pi r\sin \alpha.......  Now   FOR SEMI CIRCLE IT IS \mu i/4r eqn (2)     on adding both the magnetic field we get ….    \mu i/2\Pi r\sin \alpha +\mu i/4r= \mu i/4\Pi r\left [ 2\csc \alpha +\Pi \right ]  …....  since [1/\sin \alpha =cosec \alpha ]

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