Question

what is the x, y z composit?

A 2.5 m -long wire carries a current of 7.6 A and is immersed within a uniform magnetic field B. When this wire lies along the +y axis, a magnetic force F= (-2.0i + 3.6k) N acts on the wire, and when it lies on the +z axis, the force is F= (3.9i – 3.6j) N.

Answer 1

Current I = 7.6 A l = 2.5m length e = l (1) (lies along ty axis) magnetic force F=(- 2ê +3.6 % )N Let B = Bałt By 3 + Bzů F = I ê x® =Illi) x (Bxét Byd + Bzã ] = I l Bx lîxê) + I l By lì x Î ) +Il Bz lix) êx Î = Å I Ĵ xê -- i L. ị x û = ê li xi =- ê êxê=} x] = {xi: 20 î xê = } } êx ñ :- } | È = I & Bx (-Åi tot I l Bî → - 2 ê +36 r = -I l B x Å * Il B₂ ê Comparing to efficient of ê & f -Il By = 3.6 → By --3:6 =-3.6 -=-0.189 T - Il 7.6x2.5 Il B₂ =-2 B2 = -2 9.5 = when ě = llû) , F = (3.98 - 3-69). F = I 2 (R) x [Bxê + By } +Bzk] -1! (b[ixe] + By [axſ] + B2 6 *xķ]) - Il Bxlſ) + Il By (-e) +o Comparing coefficient Id B x = -36 * B x = -3.6 =-0.189 T -Il By = 3.9 ~ By --3-9- --0-205 T 7-6X2-5 7.6x2.5 do B = -0.1897 @ 1-0-205 TLſ) - 0105T CÂ)