For the circuit shown, 30 Ω 0.5 F 0.25 H el + v 60u(1) V (+ 20 Ω +) 30u(t) V the generalized solution of the step response of the capacitor voltage is -0.167t v(t) = V; + A1e 47.83t + A2e volts
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).
(a) What is the initial value of the capacitor voltage v(0) (in V) Hint: The unit step function u(t) is zero for t<0.
(b) What is the initial value of the inductor current iL(0) (in A) Hint: The unit step function u(t) is zero for t<0.
(c) Find Vf (in V)
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