$1.$ A toroidal core having a cross sectional area of $0\mathrm{.}2$ cm$2$ and an averagediameter of $1\mathrm{.}5$ cm is wound with a coil having $1500$ turns and aresistance of $50.$ The linearized magnetization curve has anunsaturated relative permeability of $4400$ is given. A $0\mathrm{.}2$V DC terminalvoltage is applied. Neglecting all leakage and fringing.a$.$ Calculate the magnetic field intensity, the flux, the linkage flux and theflux density.b$.$ c$.$ Find the values of reluctance, permeance and inductanceCalculate the electrical time constant of the magnetic circuit.