Horizontal wire I = 90 A How much current and in what direction does a second pa

Question

Horizontal wire
I = 90 A
How much current and in what direction does a second parallel wire (m = 0.2 g greater per meter than the horizontal wire) have if it is at rest in space 30 cm below the horizontal wire? Horizontal wire
I = 90 A
How much current and in what direction does a second parallel wire (m = 0.2 g greater per meter than the horizontal wire) have if it is at rest in space 30 cm below the horizontal wire?
I = 90 A
How much current and in what direction does a second parallel wire (m = 0.2 g greater per meter than the horizontal wire) have if it is at rest in space 30 cm below the horizontal wire?

Explanation / Answer

Let

I1 = 90 A

m/L = 0.2 g/m = 0.2*10^-3 kg/m

d = 30 cm = 0.3 m

here weight of the wire is balanced by magnetic force

Fg = FB

m*g = mue*I1*I2*L/(2*pi*d)

I2 = (m/L)*g*2*pi*d/(mue*I1)

= 0.2*10^-3*9.8*2*pi*0.3/(4*pi*10^-7*90)

= 32.7 A

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