The switch in Fig. 8.73 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 dc 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 i(t). ( f ) Find v1(t) and v2(t) from i(t) and the initial values. (g) Show that the stored energy at t = ∞ plus the total energy dissipated in the 20 k- 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. 8.73 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 dc 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 i(t). ( f ) Find v1(t) and
v2(t) from i(t) and the initial values. (g) Show that the stored energy at t = ∞
plus the total energy dissipated in the 20 k-
resistor is equal to the energy
stored in the capacitors at t = 0.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
