This problem has two independent parts. A. First long straight wire runs along z

Question

This problem has two independent parts. A. First long straight wire runs along z-axis, with upward current of 1.2 A. Second, parallel long straight wire runs along z-axis with downward current of 0.75 A, and it is located on the right hand side of the first wire. The wires are 0.5 m apart. Find the location in the region between the wires where the magnetic field would be annulled. Sketch relevant fields at this location, indicating their direction and make your sketch qualitatively correct (e.g.. is the location with the zero field closer to the first or to the second wire?)

Explanation / Answer

A)

the magnetic field due to the two wires is in same direction

Net magnetic field cannot be zero between them

net B is zero outside the line joinning

nearer to second wire at a distance r

B1 = B2

uo*I1/(2*pi*d+r) = uo*I2/(2*pi*r)

1.2/(0.5+r) = 0.75/r

r = 0.83 m from second wire

____

B)

F = uo*I1*i@*L/(2*pi*r)

r = sqrt(2^2+3^2) = 3.6 m

F = (4*pi*10^-7*2*1.5*0.2)/(2*pi*3.6)

F = 3.33810^-8 N

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