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A straight wire carrying a current of \(12\;A\) is bent into a semi-circular arc of radius \(2.0\text{ cm}\) as shown in Fig \((a)\). Consider the magnetic field \(B\) at the Centre of the arc.
What is the magnetic field due to the straight segments?
Question: A straight wire carrying a current of  12;A is bent into a semi-circular arc of radius 2.0text{ cm} as shown in Fig (a). Consider the magnetic field B at the Centre of the arc. What is the magnetic field due to the straight segments?  Fig.
Fig.

Answer

\(\mathit{dl}\)  and \(r\)  for each element of the straight segments are parallel. Therefore, \(\mathit{dl}\times r=0\) . Straight segment s do  not contribute to \(\mid B\mid\).
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