Please do question 10, and please provide quality for quality ratings and feedba

Question

Please do question 10, and please provide quality for quality ratings and feedback!

(II) A 2.0-m-long wire carries a current of 8.2 A and is immersed within a uniform magnetic field vector B. When this wire lies along the +x axis, a magnetic force vector f = (-2.5 hat j) N acts on the wire, and when it lies on the +y axis, the force is vector F = (2.5 hat i - 5.0 hat k) N. Find vector B. (III) A curved wire, connecting two points a and b, lies in a plane perpendicular to a uniform magnetic field vector 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 straight wire connecting the two curved the same current I.

Explanation / Answer

F = I*(L xross B)

-2.5j = 8.2 * ( 2 i x (Bxi + Byj + Bzk)

-2.5j = 16.4By(ixj) + 16.4Bz*(ixk)

-2.5j = 16.4By(k) + 16.4Bz*(-j)

Bz = 2.5/16.4 = 0.152

-------

2.5i - 5k = 8.2 * ( 2 j x (Bxi + Byj + Bzk)

2.5i - 5k = 16.4By(jxi) + 16.4Bz*(jxk)

2.5i - 5k = 16.4By(-k) + 16.4Bz*(i)

2.5i - 5k = 16.4By(-k) + 2.5(i)

-5 = 16.4*By

By = 5/16.4 = 0.305

B = Bxi + Byj + Bzk

B = ( 0.305j + 0.152 k)T

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---