Question

The fiqure shows, in cross section several conductors that carry Orrents through the plane of the figure. The currents have the magnitudes l. = 4.3 A. l. = 6.4A and 25 A. and the directions shown. Four paths, labeled a through are shown (Figure 1) Part A What is the line integral B. dl for the path 87 The integral involves going around the path in the counterclockwise direction Express your answer using two signifiant figures. T.m Submit Lewat Awwar Part 8 What is the line integral 3.d for the path b? The integral involves going around the path in the counterclockwise direction Express your answer using two signifiant figures. 10 AERO? Submit Regut Anwar - Part What is the line integral B. dl for the path e? The integral involves going around the path in the counterdowise direction Express your answer using two significant figures. Igure VC AED RO? Submit Request Answer Part 0 What is the line integralf Bd for the path of the integral involves going around the path in the counterdockwise direction Express your answer using two significant figurec.

Answer 1

Applying Ampere's law

Ans. I, = 4.34 (Into the page) Iz = 6140 (out of page) Iz = 2.5A (Out of page) Ale to Ampere's law, the line integral of magnetic field around a closed loop! & Bide = Mo I enclosed Tasso I Tenceloded - Current enclosed by the loop. Let counter clockwise is positive No current enclosed » & Bal so r. of Bidê --Mo I r since I, is a into the page] = -47% 107x4.3 = -5.4x10-6 T-m

ہ 1 ) مر = 62 و ( ل لم = 5x lo-1 (6.9 - 403) = 2.6% lo T- (1- چ1 + ). = ة.6$ = 11 x 157 (0.1 + 2.5-4.5) = 5.8% lo-6 T-