Question

A series resistor-inductor-capacitor circuit (see Fig. 1) can be described as a linear system, in which, for constant voltage, the current across the components follows the equation Ꭱ d . 291(t) + (t) + 'I dt 17 1 DV Cl(t) = 1 + (1) where I is the current, R the resistance, L the inductance, C the capacitance and dv/dt the rate of change of the voltage at the power source.

Answer 1

Solution:

d2 Sol: A _ M_ I_F RL DEZIL? + ICE+ Ilt) = { dx Apply Laplace transform, s’I(s)+281(s) + I(8) = { svis) IC) [ s>t&s+ ta] = {'s VCS) I(s) < Transfer function, I se st eestite : st Rst te=0 -PK + VCB20-467) poleg :- Ş -8+18%)=% --1083-%