Consider an AC source represented at any time, t, by V(t) = Vo cos(nt + o), where Vo, , are some positive parameters and Vo, are independent of . In PS3, we considered a circuit called 'R+LC' connected to V(t). There are 2 other independent permutations as shown in figure 1. L+CR L 0000) R R+LC www R C+LR 0000 R Figure 1: The 'R+LC', 'L+CR' and 'C+LR' circuits with an external AC source. (a) Derive the second order differential equation for the current across the re- sistor in the 'L+CR' circuit. Hint: The final result can be written as RLCÏR + LİR + RIR = V(t)

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help me to do part a please; this  is not a graded question

Consider an AC source represented at any time, t, by V(t) = V₁ cos(Nt+ o), where
Vo, , are some positive parameters and Vo, are independent of . In PS3, we
considered a circuit called 'R+LC' connected to V(t). There are 2 other independent
permutations as shown in figure 1.
L+CR
L
0000
R
R+LC
R
C+LR
0000
R
-0000
L
Figure 1: The 'R+LC', 'L+CR' and 'C+LR' circuits with an external AC source.
(a) Derive the second order differential equation for the current across the re-
sistor in the 'L+CR' circuit. Hint: The final result can be written as
RLCÏR + LİR+RIR = V(t)
Transcribed Image Text:Consider an AC source represented at any time, t, by V(t) = V₁ cos(Nt+ o), where Vo, , are some positive parameters and Vo, are independent of . In PS3, we considered a circuit called 'R+LC' connected to V(t). There are 2 other independent permutations as shown in figure 1. L+CR L 0000 R R+LC R C+LR 0000 R -0000 L Figure 1: The 'R+LC', 'L+CR' and 'C+LR' circuits with an external AC source. (a) Derive the second order differential equation for the current across the re- sistor in the 'L+CR' circuit. Hint: The final result can be written as RLCÏR + LİR+RIR = V(t)
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