The magnetic field at the center of a circular coil of radius 
is 
times that due to a long straight wire at a distance 
from it, for equal currents. Figure here shows three cases; in all cases the circular part has radius 
and straight ones are infinitely long. For same current the 
field at the centre 
in cases 1, 2, 3 have the ratio
Text Solution
Verified by ExpertsA
Case 1:
So net magnetic field at the center of case 1
…. (i)
Case 2: As we discussed before magnetic field at the center 
in this case
(ii)
Case 3: 
So net magnetic field at the center of case 3
(iii) From equations (i), (ii) and (iii)
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