1. A closed semi-circular loop of radius R=0.5 m is placed in the x y plane, and the loop carries a current I = 4 A in the counterclockwise (CCW) direction as shown in the figure. A uniform magnetic field B = 0.6 T pointing in the +y direction is applied. What is the direction of magnetic force F, acting on the straight segment along (a) х-ахis? ds R/ (b) magnetic force, |F| on the straight segment along x-axis? What is the magnitude of the do (c) What is the direction of magnetic force F2 acting on the semicircular arc segment? (d) For the line integral on the semicircular arc segment, the small arc length vectors are defined ds = dsê = Rd0(- sin 0 î + cos 0 j). What is the magnitude of the magnetic force, F2| on the semicircular arc segment? as, (e) What is the net force Fnet acting on the semi-circular wire?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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1. A closed semi-circular loop of radius R=0.5 m is placed in the x – y plane, and the loop
carries a current I = 4 A in the counterclockwise (CCW) direction as shown in the figure. A
uniform magnetic field B = 0.6 T pointing in the +y direction is applied.
(а)
What is the direction of magnetic
force F, acting on the straight segment along
х-ахis?
ds
R/
What is the magnitude of the
(b)
magnetic force, |F,| on the straight segment
along x-axis?
de
(c) What is the direction of magnetic force F2 acting on the semicircular arc segment?
(d) For the line integral on the semicircular arc segment, the small arc length vectors are defined
as, dš = dsô = Rd0(- sin 0 î + cos 0 j). What is the magnitude of the magnetic force, |F2|
on the semicircular arc segment?
(e) What is the net force Fnet acting on the semi-circular wire?
Transcribed Image Text:1. A closed semi-circular loop of radius R=0.5 m is placed in the x – y plane, and the loop carries a current I = 4 A in the counterclockwise (CCW) direction as shown in the figure. A uniform magnetic field B = 0.6 T pointing in the +y direction is applied. (а) What is the direction of magnetic force F, acting on the straight segment along х-ахis? ds R/ What is the magnitude of the (b) magnetic force, |F,| on the straight segment along x-axis? de (c) What is the direction of magnetic force F2 acting on the semicircular arc segment? (d) For the line integral on the semicircular arc segment, the small arc length vectors are defined as, dš = dsô = Rd0(- sin 0 î + cos 0 j). What is the magnitude of the magnetic force, |F2| on the semicircular arc segment? (e) What is the net force Fnet acting on the semi-circular wire?
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