Figure P8.55 t = 0 R +. Ve L}v,(t) Figure P8.55 Full Alternative Text
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
The switch in the circuit has been closed for a
long time before it is opened at t=0. Assume that the circuit parameters
are such that the response is underdamped.
1. Derive the expression for vo(t) as a function of Vg, α, ωd, C, and R
for t≥0.
2. Derive the expression for the value of t when the magnitude of vo
is maximum
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