vc(1) 500 μF v(1) 2 mH v½(1) i(t) Figure P3.71
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).
Consider the circuit shown in Figure P3.71, in which v C ( t )=10 sin( 1000t ) V, with the
argument of the sine function in radians. Find i(t), vL(t), v(t), the energy stored in the
capacitance, the energy stored in the inductance, and the total stored energy. Show that the total
stored energy is constant with time. Comment on the results.
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