A coil wrapped around toroid has inner radius of 20 ~cm and an outer radius of 25 ~cm . If the wire wrapping makes 800 turns and carries a current of 12 ~A . The maximum and minimum values of the magnetic field with in the toroid are

Step-by-step solution

Given, inner radius, r₁=20 ~cm =0.2 ~m Outer radius, r₂=25 ~cm =0.25 ~m Number of turns, N=800 Current in the toroid, I=12 ~A Magnetic field due to N circular rings (toroid), B= N I 2 r Magnetic field is maximum at r_ =0.2 ~m aligned B_ & = 4 10⁻⁷ 800 12 2 (0.2) =9.6 10⁻³ ~T & =9.6 mT aligned Magnetic field is minimum at r_ =0.25 ~m aligned B_ & = 4 10⁻⁷ 800 12 2 (0.25) =7.68 10⁻³ ~T & =7.68 mT aligned So, the maximum value of magnetic field within the toroid is 9.6 mT and minimum value of magnetic field within the