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In the loop shown, all curved sections are either semicircles or quarter circles. All the loops carry the same current. The magnetic fields at the centres have magnitudes B_(1),B_(2),B_(3) and B_(4) (i) B_(4) is maximum (ii) B_(3) is minimum (iii) B_(4)gtB_(1)gtB_(2)gtB_(3) (iv) B_(1)gtB_(4)gtB_(3)gtB_(2) |
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Answer» (i),(ii),(iii)  `B_(1)=(mu_(0)i)/4(1/a+1/B)=(mu_(0)i)/4(1/a+1/(2b)+1/(2b))`  `B_(2)=(mu_(0)i)/4(1/b-1/a)=(mu_(0)i)/4(1/(2b)+1/(2b)-1/a)`  `B_(3)=(mu_(0)i)/4(1/(2b)+1/(2C)-1/a)`  `B_(4)=(mu_(0)i)/4(1/a+1/(2b)+1/(2d))` Comparing `B_(1)` and `B_(4)`, since `d LT b,B_(4)gtB_(1)` Comparing `B_(2)` and `B_(3)` since `blt c, B_(4)gtB_(3)` `B_(4)gtB_(1)gtB_(2)gtB_(3)` |
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