Question

Figure shows a square loop. 20 cm on each side in the x-y plane with its centre at the origin. The loop carries a current of 7 A. Above it at y = 0, z = 12 cm is an infinitely long wire parallel to the x axis carrying a current of 10 A. The net force on the loop is ______ × 10^-4 N.

Options

• 0.21

• 0.23

• 0.25

• 0.27

Answer 1

Figure shows a square loop. 20 cm on each side in the x-y plane with its centre at the origin. The loop carries a current of 7 A. Above it at y = 0, z = 12 cm is an infinitely long wire parallel to the x axis carrying a current of 10 A. The net force on the loop is 0.23 × 10^-4 N.

Explanation:

Total force = (F₁ + F₂)sin θ

F₁= F₂ = `(mu_0"i"_0"i"_2)/(2pi"r") "a"/(2"r")`

= `(mu_0"i"_0"i"_2"a")/(4pi"r"^2)`

= `(2xx10^-7xx10xx400xx10^-4)/(244xx10^-4)`

= 0.23 × 10^-4