As displayed in Figure below and LC circuit can be modeled by the following system of differential equations d'i LI 1 L3 - i2) () = (?! – !9)2+ P17 d²iz L2 + (i2 – i3) – - i2) = 0 is dr² d'is L3 d +-i2 - i3) = 0 (i2 – i3) = 0
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).
As displayed in attachment figure and LC circuit can be modeled by the following system of differential equations as attachment. Where L = inductance (H), t = time (s), i = current (A), and C = capacitance (F). Assuming that a solution is of the form = Ij sin (wt), determine the eigenvalues and eigenvectors for this system using Faddeev-Leverrier Method and Power Method with L = 1 H and C = 0.25 C. Draw the network, illustrating how the currents oscillate in their primary nodes. Assume initial value for power method.
![As displayed in Figure below and LC circuit can be modeled by the following system
of differential equations
d²i
+ (i - iz) = (0
dr
L1
L3
diz
+ai2- is) –
is
d'is
L3-
dr2
CC
(i2 - i3) = 0
C2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F427021d6-48d9-4aa7-a791-3ed5910e2dea%2Fdbf94384-9925-4af3-82ca-e35636b1c9b2%2Fa9an73_processed.png&w=3840&q=75)
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