Question

Exercise 28.42 What s the ine mtegrai B the p Theigra ogoing around he pat in te counterdockaise drection Constants Express your answer using two significant figures The figure shows, in cross section, several conductors that carry currents through the plane of the figure. The currents have the magrudes 1, 43A,12-61?,and Is . 1 9 A, and tho directions shown. Four paths, labeled a theough d, are shown. Figure 1) 2.5.10 T m Submit X Incorrect; Try Again: 6 attempts remaining ? Part C what is "-ine ntegaifB-dlfor the path ?? The integral invol es gong around the path ite conerobokesedeeeson Express your answer using two significant figures Figure 1 of1 > Reauest Answer Part D What is the line integral f B for the path of? The integral involves going around the path in the ounterolockwise direction Express your answer using two significant figures. MacBook Pro
Please help with part B,C,D

Answer 1

B) The integral $\oint \vec B.\vec dl$ for path b is

$\oint \vec B.\vec dl=-\mu_o I_1=-4\pi\times 10^{-7}\times 4.3=-5.4\times 10^{-6}\,\,T.m$

C) The integral for path c is

$\oint \vec B.\vec dl=\mu_o (I_2-I_1)=4\pi\times 10^{-7}\times(6.1- 4.3)=2.3\times 10^{-6}\,\,T.m$

D) The integral for path d is

$\oint \vec B.\vec dl=\mu_o (I_2+I_3-I_1)=4\pi\times 10^{-7}\times(6.1+1.9- 4.3)=4.6\times 10^{-6}\,\,T.m$