Assume the capacitor to be fully discharged before the switch closes to position 1 at t=0: A. Determine equations for Ic(t) and Vc(t) for the charge cycle. After a long time (i.e. >5 T, capacitor fully charged) the switch is moved to position 2: B. Determine equations for Ic(t) and Vc(t) for the discharge cycle. C. Provide a sketch of Ic(t) and Vc(t) for both cycles. Please label accordingly. *Your analysis should include appropriate circuit models and equations. *When expressing your equations it should be apparent what t is for both the charge and discharge cycle. Helpful Relations -t V = IR; eT; x = ln(ex); T = RC

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R₁
2
P04/+
R1 = 2kn
12V
C
Vc R2 = 5kn
C = 25 µF
Assume the capacitor to be fully discharged before the switch closes to position 1 at t=0:
A. Determine equations for Ic(t) and Vc(t) for the charge cycle.
After a long time (i.e. >5 T, capacitor fully charged) the switch is moved to position 2:
B. Determine equations for Ic(t) and Vc(t) for the discharge cycle.
C. Provide a sketch of Ic(t) and Vc(t) for both cycles. Please label accordingly.
Re
*Your analysis should include appropriate circuit models and equations.
*When expressing your equations it should be apparent what t is for both the
charge and discharge cycle.
Helpful Relations
-t
V = IR; eT; x = ln(ex); T = RC
R₂
5V
+
Transcribed Image Text:R₁ 2 P04/+ R1 = 2kn 12V C Vc R2 = 5kn C = 25 µF Assume the capacitor to be fully discharged before the switch closes to position 1 at t=0: A. Determine equations for Ic(t) and Vc(t) for the charge cycle. After a long time (i.e. >5 T, capacitor fully charged) the switch is moved to position 2: B. Determine equations for Ic(t) and Vc(t) for the discharge cycle. C. Provide a sketch of Ic(t) and Vc(t) for both cycles. Please label accordingly. Re *Your analysis should include appropriate circuit models and equations. *When expressing your equations it should be apparent what t is for both the charge and discharge cycle. Helpful Relations -t V = IR; eT; x = ln(ex); T = RC R₂ 5V +
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