Question

A long wire stretches along the x axis and carries a 4.0 A current to the right (+x). The wire is in a uniform magnetic field B⃗ =(0.22i−0.39j+0.14k)T

a)Determine the y-component of the force on the wire per cm of length.

b)Determine the z-component of the force on the wire per cm of length.

Answer 1

Since magnetic force on current carrying wire is given by,

= L*(x)

here, = 4.0 i

= (0.22 i−0.39 j+0.14 k) T

So, /L =  force on the wire length. = (4.0 i)x(0.22 i−0.39 j+0.14 k) T

/L = 4*0.22 (i x i) - 4*0.39 (i x j) + 4*0.14 (i x k)

/L = 0 - 4*0.39 k + 4*0.14 (-j)

/L = (-0.56 j - 1.56 k) N/m

So, (a.)

y-component of the force on the wire per cm of length = -0.56*0.01

Fy/L = -5.6*10^-3 N/cm

(b.)

z-component of the force on the wire per cm of length = -1.56*0.01

Fz/L = -15.6*10^-3 N/cm

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