Starting with the differential equation of an RL circuit, calculate: (a) The frequency response of system (G(f) = G(s)|s=j2πf ). Consider the input to be the applied voltage Vs(t) and the output to be the the voltage across the inductor VL(t)). (b) For R = L = 1, Calculate and sketch the magnitude of the frequency response |G(f)|. Show explicitly the magnitude values for f = 0, f = 1f = ∞. (c) For R = L = 1, Calculate and sketch the phase of the frequency response ∠ {G(f)}. Show explicitly the magnitude values for f = 0, f = 1f = ∞.
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).
Starting with the differential equation of an RL circuit, calculate:
(a) The frequency response of system (G(f) = G(s)|s=j2πf ). Consider
the input to be the applied voltage Vs(t) and the output to be the
the voltage across the inductor VL(t)).
(b) For R = L = 1, Calculate and sketch the magnitude of the frequency
response |G(f)|. Show explicitly the magnitude values for f = 0, f =
1f = ∞.
(c) For R = L = 1, Calculate and sketch the phase of the frequency
response ∠ {G(f)}. Show explicitly the magnitude values for f =
0, f = 1f = ∞.
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