A long solenoid is completely filled with a core material. The ratio of the induced magnetization in the core to the magnetic intensity is 0.025 . The percentage increase in the magnetic field inside the solenoid due to the presence of the core is

Step-by-step solution

The ratio of induced magnetization M to magnetic intensity H is the magnetic susceptibility _m of the material. _m = M H = 0.025 The relative permeability of the core material is given by: _r = 1 + _m The magnetic field inside the solenoid with the core is B = _r B₀ , where B₀ is the magnetic field without the core. The percentage increase in the magnetic field is: B - B₀ B₀ 100 % = ( _r - 1) 100 % = _m 100 % Percentage increase = 0.025 100 % = 2.5 % Answer: 2.5 %