Let the first order circuit be shown in the following figure: The switch shown is known to change its state from open to closed at time t = 0 and that, once this change has occurred, the circuit reaches the steady state at approximately 4.5 μs. a) Show that the voltage, v (t), satisfies the following first-order differential equation:
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).
Let the first order circuit be shown in the following figure:
The switch shown is known to change its
state from open to closed at time t = 0 and that,
once this change has occurred, the circuit reaches the
steady state at approximately 4.5 μs.
a) Show that the voltage, v (t), satisfies the following first-order differential equation:
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