The switch in the picture below has been open for a long time. It is then closed at t=0 s. A) Write the mathematical expression for the current iL and vL after the switch is closed. B) Sketch the waveform of iL and vL from the initial value until the circuit reaches steady state. Indicate on the graph the values ​​of VL and iL for 1T and 5T in each step.

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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).