A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in Fig. 4.13(a). Consider the magnetic field B at the centre of the are. (a) What is the magnetic field due to the straight segments? (b) In what way the contribution to B from the semicircle differs from that of a circular loop and in what way does it resemble? (c) Would your answer be different if the wire were bent into a semi-circular arc of the same radius but in the opposite way as shown in Fig. 4.13(b)?

Dear Student ,
(i) Magnetic field due to straight segments is

(ii) Magnetic field at centre O due to semi-circular arc
= Magnetic field at centre of circular coil / 2

(c) No the answers would not be different if the wire were bent in the form of a semi circular arc of same radius but in the opposite way .


Regards

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