2 LON-CARA Find the ma X + -) o a knapa?physics sceduresk Robert Heathcott (Stud

Question

2 LON-CARA Find the ma X + -) o a knapa?physics sceduresk Robert Heathcott (Student section: YO1) 2017 Fall, PHYS 212 (cook) 2 Messages Courses Help Logout Course Contents Hw 8-Ch29. 'ind the magnetic Notes ' Bookinark atwuate-Cormmate -Prit ninfo (8c29p5) Consider the circuit in the figure (b). The curved segments are arcs of cirdles of angle 15 and radi a 16 cm and b-8om. The straight segments are along radi, Find the magnetic field B at point P ( the center of curvature), assuming a current of 20 A clockwise in the ircut. (Positive out of page and negative into page) R2 A H CJ D Sum Answer Incotrect Tries 1/0rivious Tries Send Feedback 11/21/2013

Explanation / Answer

given theta = 15 deg
a = 0.16 m
b = 0.08 m

magnetic field due to arc of a circle of radius r and circular angle theta is given by
B = mu*i*theta/2r*2*pi = ki*theta/r ( where k = 10^-7, i is current through the loop)

so in the given figure
magnetic field due to the straight segments of wire is 0 ( as they are intersecting the point of interest)
hence magnetic field is only die to the curved segments of wire
hence
net magnetic field
B = ki*theta(1/b - 1/a) (out of the page)
B = 10^-7*20*(15*pi/180)(1/0.08 - 1/0.16)
B = 32.7249*10^-7 T

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