A resistor R = 1, a capacitor C = 1 F and an inductor L = 1
Question:
A resistor R = 1Ω, a capacitor C = 1 F and an inductor L = 1 H are connected in series with a source vi(t). Consider the output the voltage across the capacitor vo(t).
(a) Use integrators and adders to implement the differential equation that relates the input vi(t) and the output vo(t) of the circuit.
(b) Obtain a negative feedback system block diagram with input Vi(s) and output V0(s). Determine the feed forward transfer function G(s) and the feedback transfer function H(s) of the feedback system.
(c) Find an equation for the error E(s) and determine the steady-state error when the input is a unit-step signal, i.e., Vi(s) = 1/s.
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a The transfer function of the RLC circuit with output V o s V c s is Le...View the full answer
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