The switch in the circuit shown has been closed for a long ttme and is opened at t=0. Find: a) v at time t = 0^(-) b) v at time t = 0^(+) c) the time constant (RC) d) the numerical expression for v(t) after the switch has been opened e) the initial energy stored in the capacitor f) the length of ttme required to dissipate 50% of the initially stored energy.
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).
The switch in the circuit shown has been closed for a long ttme and is opened at t=0. Find:
a) v at time t = 0^(-)
b) v at time t = 0^(+)
c) the time constant (RC)
d) the numerical expression for v(t) after the switch has been opened
e) the initial energy stored in the capacitor
f) the length of ttme required to dissipate 50% of the initially stored energy.
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