Question

Find strength of magnetic field formed by a two parallel wires with 11 = 10A and 12 = 20A at midpoint between wires whiles distance between two wires is 30.0 cm.

Answer 1

Here, the current through both wired is assumed to be in same direction.

So, at the midpoint between the two wires, the magnetic field due to both the wires are in same direction.

Here,

I_{​​​​​​1} = 10 A

I_{​​​​​​2} = 20 A

d = 15 cm (Distance between both wires to the point are same)

= 0.15 m

Magnetic field due to a current carrying conductor at a point at a distance d,

B = $\mu$ ₀I / 2πd

Here,

Magnetic field at the midpoint due to I_{​​​​​​1},

B_{​​​​​​1} = 1.33333 × 10^-5 T

Magnetic field at the midpoint due to I_{​​​​​​2},

B_{​​​​​​2} = 2.66666 × 10^-5 T

Net magnetic field at the midpoint,

B = 4 × 10^-5 T