The space within the current carrying toroid is filled with aluminium of susceptibility ' ' . The percentage increase in the magnetic field ' B ' will be

Step-by-step solution

The magnetic field inside a toroidal coil in vacuum is given by B₀ = ₀ n I , with n representing the number of turns per unit length and I the current. When the interior is filled with a material of magnetic permeability , the field becomes B = n I . Using the relation = ₀ (1 + ) , where is the magnetic susceptibility, this gives B = ₀ (1 + ) n I . Expressing this in terms of B₀ yields B = (1 + ) B₀ . The increase in magnetic field is therefore B = B - B₀ = B₀ . The percentage increase is: B B₀ 100 % = 100 % . Fina