(III) A curved wire, connecting two points a and b, lies in a plane perpendicular to a uniform magnetic field B and carries a current 1. Show that the resultant magnetic force on the wire, no matter what its shape, is the same as that on a straight wire connecting the two points carrying the same current I. x See Fig. 27-40. curved I straight i x FIGURE 27-40 Problem 11. x x x x

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P-2 please help me with the below problem with step by step explanation clearly. 

Note: the fancy way to do this problem involves a line integral, but a brief, convincing argument in words will be good

11. (III) A curved wire, connecting two points a and b, lies in a
plane perpendicular to a uniform magnetic field B and
carries a current I. Show that the resultant magnetic force
on the wire, no matter what its
shape, is the same as that on a x
straight wire connecting the two
points carrying the same current I.
See Fig. 27-40.
curved
/
I straight
FIGURE 27-40
Problem 11.
ix x x
Transcribed Image Text:11. (III) A curved wire, connecting two points a and b, lies in a plane perpendicular to a uniform magnetic field B and carries a current I. Show that the resultant magnetic force on the wire, no matter what its shape, is the same as that on a x straight wire connecting the two points carrying the same current I. See Fig. 27-40. curved / I straight FIGURE 27-40 Problem 11. ix x x
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