(a) For an RLC series network, derive the Input-Output, Transfer Function, and Block Diagram models.

(b) Consider an RLC parallel network where the output is the voltage across the capacitor, and the input is a source current. Derive the Input-Output and Transfer Function models of the system.

(c) Consider the same RLC parallel network in (b). However, the output is the current following through the capacitor and not the voltage. Derive the Input-Output and Transfer Function models of the system.