A circular arc of wire of radius of curvature r subtends an angle of 5 radian at its centre. If current i is flowing in it then the magnetic induction at its centre is ( ₀ = permeability of free space)

Step-by-step solution

The magnetic field at the centre of a circular arc subtending an angle at the centre is given by B = ₀ i 4 r Given that the angle subtended by the arc is = 5 radian. Substituting the value of in the formula, we get B = ₀ i 4 r 5 B = ₀ i 20 r Answer: ₀ i 20r