
Solution3:
So guys.. not much response to QNo3.. i guess busy with TS??
Anyways..
The line integral of the magnetic feild is synoymous with the Ampere's law..
Coupled with a situation where one can actually evaluate the integral.. it leads to a dangerous wastage of 5 precious exam minutes...
In the diagram, i've shown the top view of the loops and the wire. The line integral along the common axis is equivalent to that along the infinite loop containing the axis (the other sides of the loop contribute nothing as the feild reduces to zero there)
This leads to a closed integral whose value is that of a line integral!!
Apply amperes law to get the value of the closed integral to be 3U*.
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