Solution Found!
The input to a linear circuit is the voltage vi(t) and the response is the voltage
Chapter 14, Problem P14.10-3(choose chapter or problem)
The input to a linear circuit is the voltage \(v_{\mathrm{i}}(t)\) and the response is the voltage \(v_o(t)\). The impulse response h(t) of this circuit is
\(h(t)=30 t e^{-5 t} u(t) \mathrm{V}\)
Determine the steady-state response of this circuit when the input is
\(\mathrm{v}_i(t)=10 \cos (3 t) \mathrm{V}\)
Questions & Answers
QUESTION:
The input to a linear circuit is the voltage \(v_{\mathrm{i}}(t)\) and the response is the voltage \(v_o(t)\). The impulse response h(t) of this circuit is
\(h(t)=30 t e^{-5 t} u(t) \mathrm{V}\)
Determine the steady-state response of this circuit when the input is
\(\mathrm{v}_i(t)=10 \cos (3 t) \mathrm{V}\)
ANSWER:Step 1 of 3
The impulse response of the circuit is,
Taking Laplace to transform both sides. Then transfer function is
Both poles are on the negative axis. So the circuit is stable.