t is known that the switch shown, T, is initially open and then it closed in the instant t = 0. If it is assumed that the circuit has reached the stable state before the action of said switch: 1.1. Determine the value of the capacitance of capacitor C so that the given circuit is critically damped. 1.2. For the damping conditions of the previous part, find the expression for the current, i (t), for all t> 0.
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).
It is known that the switch shown, T, is initially open and then it closed in the
instant t = 0. If it is assumed that the circuit has reached the stable state before the action of said switch:
1.1. Determine the value of the capacitance of capacitor C so that the given circuit is critically damped.
1.2. For the damping conditions of the previous part, find the expression for the current, i (t), for
all t> 0.
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