Question

Two long, parallel wires carry currents in the same direction. If I1 = 10 A, and I2 = 20 A, and they are d = 1.0 m apart, what is the magnetic field at a point P midway between them?

Answer 1

The magnetic field at mid point between two parallel wires is 1.2 x 10⁻⁵ T

Step-by-step explanation:

Given;

current in the first wire, I₁ = 10 A

current in the second wire, I₂ = 20 A

distance between the two wires, d = 1.0 m

Magnetic field at mid point between two parallel wires is calculated as;

`B = (\mu_o I_1)/(2\pi r) + (\mu_o I_2)/(2\pi r) \\\\B = (\mu_o )/(2\pi r)(I_1 +I_2)`

where;

r is the midpoint between the wires, = 0.5 m

μ₀ is the permeability of free space, = 4π x 10⁻⁷

`B = (\mu_o )/(2\pi r)(I_1 +I_2)\\\\B = (4\pi*10^(-7) )/(2\pi *0.5)(10 +20)\\\\B = (4\pi*10^(-7) *30)/(2\pi *0.5)\\\\B = 1.2 *10^(-5) \ T`

Therefore, the magnetic field at mid point between two parallel wires is 1.2 x 10⁻⁵ T