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A segment of wire carries a current of 68 A along the x axis from x=-6 m to x=0

ID: 2244981 • Letter: A

Question

A segment of wire carries a current of 68 A along the x axis from x=-6 m to x=0 and then along the z axis from z=0 to z=1.5 m. In this region of space, the magnetic field is equal to 110 mT in the positive z direction. What is the magnitude of the force on this segment of wire ? answer in units of N 005 10.0 points A long wire parallel to the x axis carries a current of 6 A in the positive x direction. There is a uniform magnetic field of x direction. There is a uniform magnetic field of 1.25 T in the y direction. Find the magnitude of the force per unit length on the wire. Answer in units of N/m

Explanation / Answer

1)

Lx =-6 m

Lz=1.5 m

along Z-axis

F_z=I(L*B) =I*Lz*B *(k*k)

F_z=0

along x-axis

F_x =I*Lx*B*(i*k)

F_x= -I*Lx*B j

thereore magnitude of this force

F=68*(6)*110*10^-3

F=44.88 N

2)

F=BIL

F/L =BI =6*1.25 =7.5 N/m

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