switch 1. In the figure, suppose the switch has been closed for a R = 8.00 N time interval sufficiently long for the capacitor to become fully charged. Find (a) The steady-state current in each resistor. (b) The charge Q on the capacitor. (c) The switch is now opened at t = 0. Immediately after the switch is opened, what is the current through = 42.0 V R2 6.00 Q R; = 3.00 2 C 4.00 µF each resistor?

switch 1. In the figure, suppose the switch has been closed for a R = 8.00 N time interval sufficiently long for the capacitor to become fully charged. Find (a) The steady-state current in each resistor. (b) The charge Q on the capacitor. (c) The switch is now opened at t = 0. Immediately after the switch is opened, what is the current through = 42.0 V R2 6.00 Q R; = 3.00 2 C 4.00 µF each resistor?

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

See similar textbooks

Similar questions

Referring to the figure shown, if E=240V, Rs=30k-ohms, Rp=50k-ohms and C=40 micro-farad:(a) To what voltage will the capacitor be charge if the switch is closed for a comparatively long time?(b) Assuming an initial capacitor voltage as in (a) what will be the instantaneous potential ec 1 second after the switch is opened?(c) Assuming the switch to be opened at the instant the capacitor potential reaches the voltage determined in (b), what will be the value of ec 0.5 second after the switch is closed
a. Find the mathematical expressions for the transient behavior of thevoltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 3 ms.c. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 3 at t =5 ms.d. Plot the waveforms obtained in parts (a)–(c)
In Figure, suppose the switch has been closed for a time interval sufficiently long (steady state) for the capacitor to become fully charged. R 1 = 9 kΩ, R 2 = 12 kΩ, R 3 = 2 kΩ, C = 14 × 10 −6 F, and an ideal battery has emf ε = 12 V. The switch is now opened at t = 0. Find the current in R 2 at time t = 0.09 s. (Your result must be in mA's and include 3 digit after the decimal point. Maximum of 5% of error is accepted in your answer.)
Ex : For the circuit shown in the figure below : 1. Find the mathematical expression for the transient behaviour of the voltage across the capacitor as well as the current of the capacitor if the capacitor was initially uncharged and the switch is closed at position 1 when t - o sec . 2. Find the mathematical expression for Vc and is if the switch is moved to position 2 at t = 10msec . 3. Find the mathematical expressions for Vc and ic if the switch is moved to position 3 at t = 20msec 4. Plot the waveforms of the Vc and is obtained from the parts 1 to 3 . R ic 20 kΩ 20 E 12 V C 0.05 uF vc R , 310 ΚΩ T
the emf source, E=3.2 V, of the circuit shown in the figure has negligible internal resistance. the resistors have resistances R1=3 ohm and R2=4.2 ohm. the capacitor has a capacitance C= 3.1uF. A) determine the time constant t , in units of microseconds for charging the capacitor. B) what is the charge Q on the capacitor in units of microcoulomb?
A)Just after the switch is closed, what is the magnitude of the potential difference Vab across the resistor R1? B)Magnitude of the potential difference Vcd across the inductor L? C)The switch is left closed a long time then opened. Just after the switch is opened, what is the magnitude of the potential difference Vab across the resistor R1? D)What is the magnitude of the potential difference Vcd across the inductor L?
“A system can never be operated higher than its steady state stability limit but it can operate beyond the transient stability limit.” Justify this statement. Derive the characteristic equation for a system stays into a steady limit.
a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 3 ms.c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms.d. Plot the waveforms obtained in parts (a)–(c) Demonstrate all necessary steps, formulas and calculations properly.
A solid specimen of dielectric dielectric constant of 4.0, shown in the figure has an internal void of thickness 1mm. The specimen is 1cm thick and is subjected to a voltage of 80 kV(rms). If the void is filled with air and if the breakdown strength of air can be taken as 30 kV(peak)/cm, find the voltage at which an internal discharge
Let the first order circuit be shown in the following figure:The switch shown is known to change itsstate from open to closed at time t = 0 and that,once this change has occurred, the circuit reaches thesteady state at approximately 4.5 μs.a) Find the expression for the voltage v (t), for all t> 0, and graph, soapproximate, its behavior as a function of time.b) Find the value of the inductance L.
A 2uF capacitor, with initial charge Qo=100uC, is connected across a 100 ohm resistor at t=0. Compute the time in which the transient voltage across the resistor drops from 40 to 10 volts.
2. A parallel plate capacitor with a plate area of 0.13 square meters separated by 1 mm is charged to 9 Volts by a battery, which is then disconnected. The plate separation is then increased to 40 mm.A. Using the expression for the capacitance of a parallel plate capacitor, what do you expect the new potential difference across the plates to be after the increase?B. Suppose you measure the potential difference across the plates after the separation and find it to be 30 V (this should be very different from what you found in part A). This unexpected result can be explained by the effects of “stray capacitance” with nearby objects. Assuming that the stray capacitance can be modeled as a capacitor connected in parallel with the parallel plate capacitor, find the value of this stray capacitance.