The switch in Fig. is moved from A to B at t -0 after being at A for a long time. This places the two capacitors in series, thus () allowing equal and opposite de voltages to be trapped on the capacitors. (a) Determine v1(0-), v2(0-), and vR(0-). (b) Find v1(0+), v2(0+), and vR(0+). (c) Determine the time constant of vR(t). (d) Find vR(t), t> 0. (e) Find (t). (f) Find v1(t) and v2(t) from i(t) and the 5 kn B 20 k 100 v : 5 uF 20 uF initial values. (g) Show that the stored energy at te plus the total energy dissipated in the 20k resistor is equal to the energy stored in the capacitors at t =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).
The switch in Fig. is moved from A to B at t -0 after being at A for a long time. This places the two capacitors in series, thus i0 allowing equal and opposite de voltages to be trapped on the capacitors. (a) Determine v1(0-), v2(0-), and vR(0-). (b) Find v1(0+), v2(0+), and vR(0+). (c) Determine the time constant of vR(t). (d) Find vR(t), t> 0. (e) Find t). (1) Find v1(t) and v2(t) from i(t) and the initial values (g) Show that the stored energy at twe plus the total energy dissipated in the 20k resistor is equal to the energy stored in the capacitors at t-0. 5 kn B 20 kf 100 V S uF 20 aF
![The switch in Fig. is moved from A to B at t
-0 after being at A for a long time. This
places the two capacitors in series, thus
() allowing equal and opposite de voltages to
be trapped on the capacitors. (a) Determine
v1(0-), v2(0-), and vR(0-). (b) Find v1(0+),
v2(0+), and vR(0+). (c) Determine the time
constant of vR(t). (d) Find vR(t), t> 0. (e) Find
(t). (f) Find v1(t) and v2(t) from i(t) and the
5 kn
B 20 k
100 v :
5 uF
20 uF
initial values. (g) Show that the stored
energy at te plus the total energy
dissipated in the 20k resistor is equal to the
energy stored in the capacitors at t =0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc211bddf-1f3e-42f4-a7cd-ec4176b90582%2F66c5dc5d-b0d8-4fc0-b43f-5e43d237a777%2Fzl21qnj.jpeg&w=3840&q=75)
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