When two first order systems are cascaded, it produces second order critically damped or over damped system only.

Transfer function of RLC circuit is 1/(s2 LC+sRC+1), in which the highest power of ‘S’ is two and system is second-ordered system.

Time constant of an RC network is the product of resistance and capacitance values.

For a zero order system transfer function will be constant and the resistor can be categorized as zero order system.

For an R-C network, the time constant is the product of resistance and capacitance values.

Transfer function of a low-pass RC filter can be found as G(S) = 1/(1+SRC). Where time constant Ï„=RC.

Transfer function of RLC circuit is 1/(s2 LC+sRC+1), while general equation of a second order system is1/(s2+2δωn s+ωn2). From the relation, ωn2=1/LC and we obtain natural frequency.

Relation for a capacitor is given as 1/C ∫0Ï„i(t)dt, converting it to Laplace domain and applying zero initial conditions we get 1/sC.

Resistor and Inductor are passive electrical components, and the network made up of passive components can be termed as a passive network.

Relation between current flowing and voltage developed across an inductor is given by VL = L(dI(t))/dt and converting into Laplace domain and applying initial conditions to zero, we get