A -t = 0 i(t) В 4 A 20 Ω =10 mF R 0.25 H
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).
In the circuit given below, R = 14 Ω. The switch in the circuit moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make-before-break switch). Determine i(t) for t > 0.
a) i(t) = e–3.571t (0.726 sin(19.679t)) A
b) i(t) = e–3.571t (4 cos(19.679t)) A
c) i(t) = e–3.571t (4 cos(19.679t) – 0.726 sin(19.679t)) A
d) i(t) = e–3.571t (4 cos(19.679t) + 0.726 sin(19.679t)) A
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