A 100{μF capacitance is initially charged to 1000 V. At t=0 it is connected to a 1-kΩ resistance. At what time t2 has 50 percent of the initial energy stored in the capacitance been dissipated in the resistance?

A 100{μF capacitance is initially charged to 1000 V. At t=0 it is connected to a 1-kΩ resistance. At what time t2 has 50 percent of the initial energy stored in the capacitance been dissipated in the resistance?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...

See similar textbooks

Related questions

Q: A CAPACITOR OF CAPACITY 10MF CHARGED FOR A VOLTAGE DIFFERENCE OF 15V WAS CONNECTED IN SERIES WITH AN…

A: For the given question we have to calculate potential difference across each capacitor after…

Q: R Assume first that v, = 12V-u(-t) and X is a capacitor with C = 25mF. + (a) What is the initial…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: The two parallel inductors shown are connected across the terminals of a black box at t=0. The…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Solve for the following: a. Equivalent capacitance b. Magnitude of charges c. Potential…

Q: A capacitor has two dielectrics 1 mm and 2 mm thick.The relative permittivities of these dielectrics…

Q: A 100-μF capacitor has a voltage given by v( t )=10−10 exp( −2t ) V. Find the power at t=0 and state…

A: Given: A capacitor whose capacitance and voltage across it is given by Formula and concept:

Q: R4 S2 Si iT R5 R6 + ic2 C3 VT C2 C1 V1 R3 R2

A: C1 and C2 are in parallel whose equivalent given by Ceq'= C1+ C2 Then this combination is series…

Q: (a) The current flows through a 1mH inductor is given by i(t) = 20cos 100t mA Find the expression…

Q: A certain parallel-plate capacitor consists of two plates, each with area 200 cm2, separated by a…

A: If two metal plates are connected across a battery, then due to the charges of plates an electric…

Q: The capacitor in the circuit shown is charged to 20 V at the time the switch is closed. If the…

A: Given data: The voltage across capacitor is: 20 V The below circuit at t > 0, The value of…

Q: plem #1: If the current flowing through a 75mH inductor has the waveform shown below, (a) Determine…

Q: The voltage across a 300mH inductor is given by v(t) = cos2(377t). Determine the current i at t = 4s…

A: In this question, The voltage across a 300mH inductor is given by v(t) = cos2(377t). Determine the…

Q: A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The…

Q: 3. C3 and C4 are connected in parallel with each other. And together, they are connected in series…

Q: Shown are two inductors and the potential difference across them at time t = 0 s.a. Can you tell…

A: a) The expression for the current is given as, iL1=VL2πfL=2 2πf×2=12πf For second, iL2=VL2πfL=4…

Q: You have been assigned to design a transportable capacitor that can store 250 kJ of energy. You…

A: Given Energy = 250 kj Dielectric strength = 16 kV/mm Er = 3.5

Q: Determine the charge stored on a 2.2 µF capacitor if the capacitor's voltage is 5 V. 11µC In some…

A: As per our company guidelines we are supposed to answer 1 question only but I solved all 6 questions…

Q: The switch below has been closed for a long period of time and is opened at t=0. a) Find the ENERGY…

Q: The Table 1 below shows the voltage a cross a 36μF capacitor from 0s to 23s. Evaluate and plot the…

Q: The voltage & charge relation for a capacitor is given by V = 1+q+q². The amount of energy required…

A: Given- V=1+q+q2,q0=1C to qt=3C, To Find- Amount of energy required (E).

Q: Use MATLAB to generate a plot of this charge as a function of time, where t = time 0 to 0.8, go =…

A: clearclct=0:0.01:0.8;q_0=10;%intial charge)R=60 ; %ResistanceL=9 ; %InductanceC=0.00005; %…

Q: The switch below has been closed for a long period of time and is opened at t=0. a) Find the ENERGY…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A capacitor is made with a dielectric layer of mylar film that is 12μm thick. The effective area of…

Q: A capacitor is charged to a potential of 12.0 V and then connected to a voltmeter having an internal…

A: Given: Initial potential of capacitor V0=12 V Internal resistance of voltmeter R=3.4 MΩ At time t=4…

Q: PROBLEM 2: In the circuit shown, capacitor C1 has an initial charge qo = 300 x 10-6 Coulombs. If the…

Q: The switch below has been closed for a long period of time and is opened at t=0. Switch_open_t=0 a)…

A: The circuit for time t<0 is drawn in the figure below. The capacitor was acting as an…

Q: The current at the terminals of the two capacitors shown is 240e-10 μA for t≥ 0. The initial values…

A: Given: Current 240e-10tμA for t≥0 Initial Value of V1 and V2 are -10V and -5V respectively.…

Q: If the current flowing through a 6 H inductor is given by i(t) = 6cos(2π60t) A, How much energy is…

Q: Consider the circuit below. The capacitor has a capacitance of 21 mF and starts out uncharged. The…

A: a) At time t=0, the switch is closed, the capacitor is replaced by short-circuit, the simplified…

Q: A capacitor with air between its plates is connected to a potential difference of 12 V and stores a…

Q: Q1 (a) (i) (ii) (iii) (iv) In your own words, explain how a capacitor appears to pass alternating…

A: Stray capacitance: This is unwanted capacitance that present in the circuit when the frequency is…

Q: The voltage across a 5 mF capacitor is shown in Figure Q1(b). (1) Draw the current waveform through…

Q: The switch in Figure Q2(b) circuit has been closed for a long time. At t = 0 s, the switch is…

A: The solutions are

Q: A. Find the equivalent capacitance of the circuit. B. What is the charge stored by the 5 µF…

Q: Calculate the capacitance between two parallel plates, each of which is 100 sq. Inches and 2 mm…

A: We need to find out capacitance for given parallel plate capacitor . We will also find out…

Q: Q1: A current waveform in a 10 µF capacitor is shown below. If the initial voltage in the capacitor…

Q: The switch has been in position a for a long time, completely charging the capacitor. At t = 0 the…

A: (a): When the switch is in position a, the capacitor starts charging and it charges to the battery…

Q: PROBLEM 2: In the circuit shown, capacitor C1 has an initial charge qo = 300 x 10-6 Coulombs. If the…

Q: Fill in the blanks add, capacitance, charge capacity, dielectric, dissipate, electrical circuits, ,…

A: The solution is as follows.

Q: 4. If the current flowing through a 75 mH inductor has the waveform shown in figure 3, (a)sketch the…

A: In this question, We need to draw the voltage across the inductor V= L di/dt Where current I(t)…

Q: The switch below has been closed for a long period of time and is opened at t=0. Switch_open_t=0 a)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: In the circuit shown, assume that the capacitors were initially uncharged and that the current…

Q: A capacitor has two dielectrics 2 mm and 3 mm thick. The relative permittivities of these…

A: A capacitor have two dielectric with 2 and 3 mm thick. so, x1 = 2 mm = 2 * 10-3 m x2 = 3 mm = 3 *…

Q: 3V 20 HH 20

A: find the relation between qK , qL, qM...?

Q: Att= 0, a 2.3 uF capacitance is pre-charged to an unknown voltage V. The capacitance is in parallel…

Q: Problem 2 Find the expression for the v(t) and current i(t) of of the capacitor as a function of…

A: Here the system is step response, The voltage across the capacitor is given by, vt=Vs+V0-Vse-tτ…

Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

A 100{μF capacitance is initially charged to 1000 V. At t=0 it is connected to a 1-kΩ
resistance. At what time t2 has 50 percent of the initial energy stored in the capacitance been
dissipated in the resistance?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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?
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.
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?
You find that a 25-F capacitor connected to 480 VAC is defective. The storeroom has no capacitors with a 480-VAC rating. However, you find two capacitors rated at 50 F and 370 VAC. Can these two capacitors be connected in such a manner that they can replace the defective capacitor? If yes, explain how they are connected and why the capacitors will not be damaged by the lower voltage rating. If no, explain why they cannot be used without damaging the capacitor.
4. In what form is the energy of a capacitor stored?
In the figure R1 When the switch is opened after having been closed for a long time, the current in the inductor drops from 1.00 A to 0.250 A in 0.200 s. What is the inductance of the inductor in mH? = 4.00 N , and R2 = 1.00 N. The inductor is ideal. %3D Şekildeki devrede R1 = 4.00 N , ve R2 = 1.00 N olarak verilmişlerdir. Solenoidin iç direnci yoktur. Anahtar uzun süre sonra kapalı kaldıktan sonra açılırsa solenoidden geçen akım 0,200 s içinde 1,00 A değerinden 0,250 A değerine düşmektedir. Solenoidin indüktansı mH cinsinden nedir? R1 S R2 L le
The figure displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In figure (a) below, R₁ = 23.32 and C₁ = 5.04 μF. In figure (b) below, R2 = 10.82 and C₂ = 8.10 μF. The ratio of the initial charges on the two capacitors is 902/901 = 1.61. At time t = 0, both switches are closed. At what time t do the two capacitors have the same charge? 0.0 (a) (b) Number i Units
In the figure R1 When the switch is opened after having been closed for a long time, the current in the inductor drops from 1.00 A to 0.250 A in 0.200 s. = 4.00 N , and R2 = 1.00 N. The inductor is ideal. What is the inductance of the inductor in mH? = 1.00 N olarak verilmişlerdir. Şekildeki devrede R1 = 4.00 N , ve R2 Solenoidin iç direnci yoktur. Anahtar uzun süre sonra kapalı kaldıktan sonra açılırsa solenoidden geçen akım 0,200 s içinde 1,00 A değerinden 0,250 A değerine düşmektedir. Solenoidin indüktansı mH cinsinden nedir? %3D R S E -R2 L
Qno.3 If the equivalent capacitance between a and b is 10„F for the combination of capacitors shown in Figure 2. Calculate the value of capacitance "x" All capaci- tances shown in figure are in pico farads. 4.0 10.0 X 2.0 Figure 2
A 150 µF and 100 µF capacitors are connected in series and across a 100 sin (wt + 30*) voltage. Write the equation of the current in mA. 25wsin(wt+30') 6wsin(wt+30') 25wsin(wt+120') 6wsin(wt+120')
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