Question

A wire of total length 44 m is bent into a square it carries a current of 10 ampere. Obtain the magnitude of the magnetic field at the centre of the square.​

Answer 1

Explanation:

Given that,

Length = 44 cm

Current = 10 A

Now, for circle

the length is bent in form of circle then the circumference is

  2πr=44

 r=2π44

Now, the magnetic field is

  BA=2πrμ0I

 BA=2×44×10−24π×10−7×10×2π

 BA=0.89×10−4T

Now, for square

Length 44 cm is form in square

So, each side has length 11 cm

Now, the magnetic field due to first wire at the center

B=4πaμ0I(cos450+cos450)

Now, due to the all four wires

  BB=4πa4μ0I(cos450+cos450)

 BB=4π×11×2×10−24×4π×10

hope it will be very useful to u