(Solved): A coil of 1000 turns is wound on a laminated core of steel having a cross-section of 5cm2 as show ...

A coil of 1000 turns is wound on a laminated core of steel having a cross-section of $5{\mathrm{cm}}^2$ as shown in Figure 4. The core has an air gap of $2\mathrm{mm}$. What value of current is required to have an air gap flux density of $0.5\mathrm{T}$ ? Permeability of steel may be taken as infinity. Fringing effect is neglected. Calculate the coil inductance. Figure 4: Magnetic core for Problem (4)