$1.$ A toroidal core having a cross sectional area of $\backslash (0\mathrm{.}2\backslash$mathrm$\{$~cm$\}^\{2\}\backslash )$ and an average diameter of $1\mathrm{.}5$ cm is wound with a coil having $1500$ turns and a resistance of $\backslash (50\backslash$Omega $\backslash ).$ The linearized magnetization curve has an unsaturated relative permeability of $4400$ is given. A $0\mathrm{.}2$ V DC terminal voltage is applied. Neglecting all leakage and fringing.

a$.$ Calculate the magnetic field intensity, the flux, the linkage flux and the flux density.

b$.$ Find the values of reluctance, permeance and inductance

c$.$ Calculate the electrical time constant of the magnetic circuit.

please solve clearly truly and with hand.