Question

Two long parallel wires 45.6 cm apart are carrying currents of 13.0 A and 23.0 A in the same direction. What is the magnitude of the magnetic field halfway between the wires?

Answer 1

According to the given problem,

Each wire creates a field that is clockwise about the direction of the current flowing in it. This means that between the wires both fields are in the opposite direction so they substract.

B = o *i /2πr

B₁ =  o *i₁ /2πr

B₂ = o *i₂ /2πr

B_net = B₂ - B₁ = o * (i₂ - i₁) /2πr

B_net = 4π*10^-7 *(23-13) / 2π(0.456/2)

B_net = 8.772*10^-6 T.

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