$(1)$Using block diagram reduction method find the transfer function of the following block diagrams

$($A$).$

$(2$ Marks$)$

$($B$).$

$(2).$Develop the mathematical model of RC$($resistor capacitor$)$ series network and RL$($resistor inductor$)$ series network $.$Find out the transfer function of both network $(1$ Marks$)$

$(3).$An electrical series RLC circuit consists of $0\mathrm{.}03$ Henry inductor $,$ a $8$ micro farad capacitor and a $150$ ohm resistor. Determine the time domain equations, the transfer function, resonance frequency, the damping ratio and type of damping.