For the circuit shown below, the switch is initially open and is closed at t = 0. The component values are given by R = 1 Ω, C = 1/8 F and L = 1/2 H. A generator voltage is expressed by vg(t) = 2sin 4t[V]. a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s). b)Determine the expression for the input current of the circuit i(t). c)Calculate the expression for the output voltage of the circuit vo(t).
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).
For the circuit shown below, the switch is initially open and is closed at t = 0. The component values are given by R = 1 Ω, C = 1/8 F and L = 1/2 H. A generator voltage is expressed by vg(t) = 2sin 4t[V].
a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).
b)Determine the expression for the input current of the circuit i(t).
c)Calculate the expression for the output voltage of the circuit vo(t).
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