Example 4: The initial voltages on capacitors C and C2 in the circuit shown have been established by sources not shown. The switch is closed at t = 0. a) Find v,(t), v2(t), and v(t) for t 2 0 and i(t) for t 2 0+. b) Calculate the initial energy stored in C, & C2. c) Determine the energy stored in the capacitors as t-> o. 4V C (5 µF) i(t) +. v() 250 kn. 24 V C (20 uF) ()

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.18P
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Example 4:
The initial voltages on capacitors C and C2 in the circuit
shown have been established by sources not shown. The
switch is closed at t = 0.
a) Find v,(t), v2(t), and v(t) for t > 0 and i(t) for t 2 0+.
b) Calculate the initial energy stored in C, & C2.
c) Determine the energy stored in the capacitors as t -> 0.
d) Show that the total energy delivered to the 250 kQ
resistor is the difference between the results obtained in (b) and (c).
1=040)
4V G (5 µF) r(t)
v(1) 250 kn
24 V (20 uF) ces(1)
Transcribed Image Text:Example 4: The initial voltages on capacitors C and C2 in the circuit shown have been established by sources not shown. The switch is closed at t = 0. a) Find v,(t), v2(t), and v(t) for t > 0 and i(t) for t 2 0+. b) Calculate the initial energy stored in C, & C2. c) Determine the energy stored in the capacitors as t -> 0. d) Show that the total energy delivered to the 250 kQ resistor is the difference between the results obtained in (b) and (c). 1=040) 4V G (5 µF) r(t) v(1) 250 kn 24 V (20 uF) ces(1)
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