The circuit elements in the circuit in Fig. 8.1 are R = 200 2, L = 50 mH, and C = 0.2 μF. The initial inductor current is -45 mA and the initial ca- pacitor voltage is 15 V. a) Calculate the initial current in each branch of the circuit. b) Find v(t) for t≥ 0. c) Find i(t) for t≥ 0.

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Q: Example 1. Find v(t) and i(t) in the circuit shown in Figure 8.

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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).