Question

A semicircular arc of radius 20 cm carries a current of ten ampere.Calculate magnetic field at centre of the arc

Answer 1

Answer:

The magnetic field at the center of the arc is  0.157 gauss

Explanation:

According to the problem the radius of the semi circular arc is ,r= 20 cm

it carries the current, i= 10 A

let the magnetic field at the center of arc is B

wehre B=  μ0i/2r

Now for semi circular arc,

B= μ0i/4r

   = 4π×10^(−7)×10/ 4×20×10^(−2)

B = 1.57×10^(−5) tesla

B = 0.157 gauss