1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacítance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 µF 4.0 µF 4.0 µF 2.0 µF

1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacítance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 µF 4.0 µF 4.0 µF 2.0 µF

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...

See similar textbooks

Similar questions

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.
In the circuit diagram below, the capacitor C is first fully charged by using a 6.0V battery and the two way switch k. It is then discharged through the resistor R. The figure below shows how the charge Q on the capacitor C changes with time during the discharge. Use the graph to answer the following questions: What is the capacitance of the capacitor? Estimate the initial current through the resistor during the discharging process, hence, calculate the resistance of the resistor and the time constant of the circuit. On the same axes, draw graphs to show how the voltage Vc across the capacitor and VR across the resistor vary with time during the charging. Indicate values where appropriate.
For the circuit shown in the figure, in which the capacitor is initially fully discharged. If the source voltage V is 17 Volts, the capacitance of capacitor C is 24 mF; and the values of the resistors in Ω are: R1 = 2250 , R2 = 1071 , R3 = 2455 , R4 = 1199 and R5 = 1043 Determine the voltage across the capacitor in Volts after 15 minutes have elapsed since the circuit is energized. ..
A circuit consists of switches that open or close at t=0, resistances, dc sources, and a single energy storage element, either an inductance or a capacitance. We wish to solve for a current or a voltage x(t) as a function of time for t≥0. Write the general form for the solution. How is each unknown in the solution determined?
Prior to t=0, the current in a 2-H inductance is zero. Starting at t=0, the current is increased linearly with time to 10 A in 5 s. Then, the current remains constant at 10 A. Sketch the voltage, current, power, and stored energy to scale versus time.
For the capacitor network shown in Figure(Q2a) above (which has reachedsteady state i.e. on for a very long time), calculate:i. The total capacitance, CT , for the entire networkii. The voltage across capacitor C2iii. The total charge stored across capacitor C2iv. The energy stored in capacitor C2
capacitor having capacitance of 10uF is connected with 1k ohm resistor in series. The switch of the DC supply of 10 Volts, closes at t = 0. Compute the following a. Draw a circuit diagram for t- and t+ b. Compute the time constant c. Plot the Voltage with respect to time, showing the behavior of capacitor charging(take at least 10 values of time in seconds to draw a graph).
A potential difference V(t) = V0sin ωt ismaintained across a parallel-plate capacitor withcapacitance C consisting of two circular parallel plates. Athin wire with resistance R connects the centers of the twoplates, allowing charge to leak between plates while theyare charging.(a) Obtain expressions for the leakage current Ires(t) in thethin wire. Use these results to obtain an expression for thecurrent Ireal(t) in the wires connected to the capacitor.(b) Find the displacement current in the space between theplates from the changing electric field between the plates.(c) Compare Ireal(t) with the sum of the displacementChapter 16 | Electromagnetic Waves 733current Id(t) and resistor current Ires(t) between theplates, and explain why the relationship you observe wouldbe expected.
For a resistor, what resistance corresponds to a short circuit? For an uncharged capacitor, what value of capacitance corresponds to a short circuit? Explain your answers. Repeat for an open circuit.
Consider the circuit below. a) Calculate the equivalent capacitance Ceq (show all steps) b) What is the potential difference across C4?
Capacitance= 4uF , Hence time constant is 5.33μs For the capacity value, calculate the estimated time to come to the final state.Plot capacitor current and voltage graphs and show if it works in harmony with the time constant you calculated. NOTE: if you want you can use falstad online circuit simulator.
The charges of the 2C, C, 2C capacitance capacitors in the figure are qk, qi and qm, respectively. Accordingly, what kind of relationship is there between qk, qi and qm?