Problem #3: The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find: a) vat time t = 0 b) vat time t = 0- c) the time constant for t > 0,. d) the numerical expression for v(t) after the switch has been opened, (1 e) the initial energy stored in the capacitor, - prrs) and n the length of time required to dissipate 50% of the initially stored energy. 50 kN 8mA 70 kN 0.4 µF v(t) { 20 kn
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).
Assume that the circuit has been connected for a very long time.
Note: X= 1
a.) As time approaches infinity, what will happen to the capacitor and inductor?
b.) From your answer in a.) draw the equivalent circuit ( label appropriately)
c.) From your circuit in b.) determine the" steady state" or " final" values of Vc, Ic,Il, Vl
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