Suppose that at t=0, we connect an uncharged 10{μF capacitor to a charging circuitconsisting of a 2500-V voltage source in series with a 2{MΩ resistance. At t=40s, the capacitoris disconnected from the charging circuit and connected in parallel with a 5{MΩ resistor.Determine the voltage across the capacitor at t=40 s and at t=100 s. (Hint: You may find itconvenient to redefine the time variable to be t′=t−40 for the discharge interval so that thedischarge starts at t′=0.)

Suppose that at t=0, we connect an uncharged 10{μF capacitor to a charging circuitconsisting of a 2500-V voltage source in series with a 2{MΩ resistance. At t=40s, the capacitoris disconnected from the charging circuit and connected in parallel with a 5{MΩ resistor.Determine the voltage across the capacitor at t=40 s and at t=100 s. (Hint: You may find itconvenient to redefine the time variable to be t′=t−40 for the discharge interval so that thedischarge starts at t′=0.)

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

See similar textbooks

Similar questions

Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?
You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.
A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating of 600 WVDC. The capacitor and resistor are connected to a 480-V, 60-Hz circuit. Is the voltage rating of the capacitor sufficient for this connection?
You are working in an industrial plant. You have been instructed to double the capacitance connected to a machine. The markings on the capacitor, however, are not visible. The capacitor is connected to 560 volts and an ammeter indicates a current of 6 amperes flowing to the capacitor. What size capacitor should be connected in parallel with the existing capacitor? What is the minimum AC voltage rating of the new capacitor? What is the minimum DC voltage rating of the new capacitor? What is the minimum KVAR size that can be used in this installation?
A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted between the plates without changing the spacing, and the capacitance becomes 15 F. What is the dielectric constant of this material?
A postage stamp mica capacitor has the following color marks starting at the upper left dot: yellow, violet, brown, green, no color, and blue. What are the capacitance value, tolerance, and voltage rating of this capacitor?
An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=
5. A 20-ohm resistor and a capacitor are connected in series with a battery of 60 volts. At t = 0, there is no charge on the capacitor. Find the capacitance if the current at t = 5 seconds is 3/e amperes. Ans. 0.05 Farads
The following figure represents an RC-Circuit with the switch. In Figure A, the capacitor is initially uncharged. In Figure B, the capacitor is initially fully charged. 1) Draw and label the current direction immediately after the switch is closed for each figure. 2) Consider Figure A. What is the voltage across the capacitor as t → 0? Explain. 3) Consider Figure B. Is the voltage across the resistor increasing, decreasing or staying the same as t → 0? Explain. A) B) R C
Part B. Series-Parallel Capacitor Four capacitors are connected as shown in the figure below. Determine the following: A. Total Capacitance (CT) B. Total Charge (QT) C. Individual Charges (Q1, Q2, Q3, Q4) D. Voltage drop in each capacitor (V1, V2, V3, V4) C3 = 45 nF C2 = 5 µF C = 2.5 µF Vr = 30 V C4 = 30 nF
1) First part of the question: Two identical capacitors are connected in parallel and charged with a 20-V power supply as shown in the figure on the left. After the charges on the capacitors have reached their final values, the charge on each capacitor is 10 µC. Then the power supply is disconnected and a dielectric with K = 4 is inserted to fill the space between the plates of one of the capacitors. a) Find now the charge on the capacitor with dielectric. Give your answer in microcoulombs. Qo = 10 µC Qo = 10 µC| Q2 =? ► V = 20 V Battery