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Current I_(0) is flowing through a bent wire atobtoctod in z-x plane as shown in figure, then ointvecB.vec(dl) over the loop PQRS lying in the X-Y plane as shownin figure, due to the bent wire abcd |
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Answer» `(mu_(0)I_(0))/8` `dy=l/2sec^(2)theta d theta` `8 int_(0)^((PI)/4) Bdycostheta+oint _(atobtoctod)vecB.vec(dl)=mu_(0)l_(0)` `int_(0)^((pi)/2) (8mu_(0)I_(0))/(4pix). (2l/2)/(sqrt(x^(2)+(l^(2))/4)).l/2 sec^(2)theta cos theta+oint_(atobtoctod)vecB.vec(dl)=mu_(0)I_(0)` `2/3 mu_(0)I_(0)+oint_(atobtoctod)vecB.dl=mu_(0)I_(0)` `oint_(atobtoctod) vecB.vec(dl)=mu_(0)I_(0)-2/3mu_(0)I_(0)=(mu_(0)I_(0))/3` 
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