What is the current in a long wire if the magnetic field strength 1.4 cm from th

Question

What is the current in a long wire if the magnetic field strength 1.4 cm from the wire's axis is 65 muT ? Express your answer using two significant figures. Three very long parallel wires of length l each carry current l in the same direction. They're positioned at the vertices of an equilateral triangle of side a, and oriented perpendicular to the triangle. Find an expression for the magnitude of the force on each wire. Express your answer in terms of the variables I, l, a, and appropriate constants.

Explanation / Answer

PART A)

magnetic field B = Uo*i/(2*pi*d)

=> cyrrent i = B*2*pi*d/Uo = 65*10^-6*2*pi*0.014/(4*pi*10^-7) = 4.55 A

PART B)

force on wire 1 due to currents in wire 2 and wire 3

F = Uo*i1*(i2 +i3)*L/(2*pi*a) = Uo*2*i^2*L/(2*pi*a)

=> F = 4*10^-7*i^2*L/a N

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