Resistor Electrical Systems and motors ππ = π ∗ π Inductor Back-EMF ππ ππ‘ πππ π = ππ‘ πΆ ππ = πΎπ ∗ ππ Electromagnetic Torque ππ = πΎπ ∗ π Capacitor DC-Motor Scheme ππΏ = πΏ ∗ πππ − ππ − ππΏ − ππ΅ = 0 Thermal Systems Thermal Capacity πΆ = π ∗ ∀ ∗ πΆπ 1 πππ’π‘ (wall) (π − ππ ) π R (flat wall) π π΄∗π Rotational Systems No-slip wheel on flat No-slip wheel on wheel π₯ = π∗π π1 ∗ π1 = π2 ∗ π2 Transient Response to a 2nd order system Settling Time (Below) Break away point: K = …. ππ = 0, π π£πππ’ππ πππ’πππ πππππππ€ππ¦ πππππ‘ ππ Block Diagram Simplification (Closed feedback loop) Routh’s Conditions: All coefficients the same sign and no coefficient is zero.