Question

In the figure below, a current i = 10 A is set up in a long hairpin conductor formed by bending a wire into a semicircle of radius R = 5.0 mm. Point b is midway between the straight sections and so distant from the semicircle that each section can be approximated as being an infinite wire. What are the (a) magnitude and (b) direction (into or out of the page) of B at point a and the (c) magnitude and (d) direction of B at point b.

Answer 1

find the attached solution

Space for Rough Work O denoles ont of page Rusom Ob - -- - - It wrrent at Radius formula's USED B due to peircle = semi - 4 a PI B due to semi infinite a . itarrent de direct distance 47d B due to infinite wire =) NI 2nd @ at point a B due to wire 1,2,3 is Additive and will be as semicircle tremi infinite + semi - infinite. 4 R 47d 40x10x10 1000 X [ mio testare] 2 1.42 34m web/м 2 direction due to semicircle can be seen by rolling finger in the directions of uire and it is out side direction due to both wireo .can be to both wireo .can be get by thumb in the direction of current and - fingers l right) will give direction of B.. roitis out o sing

same way butting of point b due to remicircle BYO direction ean so it will be due to be obtained by two e infinite wires and/ will be additive. thumb in the direction B = e.nl of current gend 2nd finger will give the 4 axiolx 10 direction and it 7. SAI is ☺ out of the = 4mwbluzzo&mubima" else be .