Two vertical parallel straight wires carry currents upward and are separated by 8.2 cm. Wire 1 exerts a force on the other wire of 7.7 X 10-5 N/m and is carrying a current of 23.0 A. What is the current in the other wire

Respuesta :

The current in the second wire is 1.37 A.

Current in the second wire

The current in the second wire is calculated from the magnetic force between the two wires.

F/L = (μI₁I₂)/(2πr)

where;

  • μ is permeability of free space
  • I₂ is current in the second wire
  • F/L is force per unit length
  • r is the distance between the two wires

μI₁I₂ = (F/L 2πr)

I₂  = ((F/L 2πr) / (μI₁)

I₂  = (7.7 x ⁻⁵ x 2π x 0.082)/(4π x 10⁻⁷ x 23)

I₂  = 1.37 A

Thus, the current in the second wire is 1.37 A.

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