d VC, dt 4- i(t) 0. 0. R1 3. 2 R2 502. C3 1F. L =H. e(t) = 2 cos(2t +V. i(t) = 13 cos(2t)A %3D 2)
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 state equations of the RLC circuit are given by Equation 2 below.
Element values Find the forced solution by using the Sinusoidal Continuous State Analysis method.
![d
UCA
UCA
(2)
RIC3
dt
i(t)
Cs 1F,
L =H, e(t) = 2 cos(2t +V. i(t) = 13 cos(2t)A
R2 = 52.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7684bcf-dda6-4a62-a5f0-a9fabee20dd0%2F842c410f-543c-46f2-b4f6-6288d5750b4d%2Fi9eo40j_processed.jpeg&w=3840&q=75)
![RI
C3
e(t)
R2
L4
i(t) (1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7684bcf-dda6-4a62-a5f0-a9fabee20dd0%2F842c410f-543c-46f2-b4f6-6288d5750b4d%2F3s4q7qo_processed.jpeg&w=3840&q=75)
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