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# Capacitors

### A parallel plate capacitor with a nonuniform dielectric

A parallel plate capacitor with a nonuniform dielectric The dielectric of a parallel plate capacitor has a permittivity that varies as ero+ax, where x is the distance from one plate. The area of a plate is A, and their spacing is s. (a) Find the capacitance. (b) Show that, if er varies from ero to 2ero, then c is 1.44 tim

### Two capacitors are identical

Two capacitros are identical, except that one is empty and the other is filled with a dielectric (k=4.50). The empty capacitor is connected to a 12.0-V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric such that it stores the same amount of electrical energy as the empty c

### Capacitance of Parallel Plate Capacitor

A parallel plate capacitor has a capacitance of 7.0 microFarads when filled with a dielectric. The area of each plate is 1.5 m^2 and the separation between the plates is 1.0 x 10^-5 m. What is the dielectric constant of the dielectric?

### E&M electrostatics and Magnetostatics in magnetic materials

Consider the following parallel plate capacitor Givens: top plate 1 meter wide by 1 meter deep by 10 mm thick bottom plate 1 meter wide by 1 meter deep by 10 mm thick gap 12 mm applied voltage 1000 volts containing different materials inside the gap as follows: a) 12 mm of vacuum (Ke = 1) b) 1 mm of vacuum, 10 mm of

### Charge on the capacitors when reconnected oppositively.

Two capacitors, with capacitance 4.20*10^-6 F and 5.90*10^-6 F, are connected in parallel across a 660-V supply line. The charged capacitors are disconnected from the line and from each other, and then reconnected to each other with terminals of unlike sign together. a) find the final charge on the 4.20*10^-6 F capacit

### Compare and contrast various internal strategies

Based on the assigned scenario, answer the following questions: What is the situation? What challenges exist? What opportunities exist? What is the problem? Is there a problem? Is it worth solving? (Process) Based on the assigned scenario, answer the following questions: What does the ideal end-state look like? What are the

### Capacitor Question

Please help with the following problem. Provide step by step calculations. A capacitor, C1, is charged using a 6.3 V battery. C1 has a capacitance of 3.55μF 1) When this capacitor/battery circuit reaches equilibrium, what is the charge on each place of the capacitor? 2) When C1 is fully charged, the battery is remove

### Sum of energies stored in capacitors

Two capacitors (C1 and C2) are connected in series. Show that the sum of the energies stored in these capacitors is equal to the energy stored in the equivalent capacitor. [Energy stored in a capacitor can be expressed as q^2/(2C)] Please include diagram.

### Series and Parallel Capacitors

(See attached file for full problem description) A 3.00 uF and a 5.00 uF capacitor are connected in series across a 30.0 V battery. A 7.00 uF capacitor is then connected in parallel across the 3.00 uF capacitor. Determine the voltage across the 7.00 uF capacitor. Please include a diagram of the circuit.

### A parallel plate capacitor with plates of area A and plate separation

A parallel plate capacitor with plates of area A and plate separation d has the region between the plates filled with two dielectric materials (&#949;1 and &#949;2) as shown in the figure. Determine the capacitance and show that when &#949;1= &#949;2= &#949; your result becomes the same as that for a capacitor containing a singl

### Complex coupled circuits

The circuit configuration chosen is that of a pair of tuned circuits which are coupled together and both primary and secondary are tuned to the same frequency. The primary has an inductance of 1 mH and the secondary has an inductance of 1.5 mH. The resistance of the primary is 10 ohms and the secondary 12 ohms. the secondary is

### Connecting Three Capacitors

1.) You have three capacitors and a battery. How should you combine the capacitors and the battery in one circuit so that the capacitors will store the maximum possible energy? 2.) Because the charges on the plates of a parrallel-plate capacitor are of opposite sign, they attract each other. Hence, it would take positive wo

### Capacitors and Oscilloscopes

Design a circuit to determine the capacitance of a capacitor using a known resistance, an oscilloscope, a function generator, and an unknown capacitor (explicitly show all the components in your circuit diagram and explain how you would set it up). Discuss the limitations of the method. In addition, sketch the expected output on

### A small plastic ball of mass is suspended between capacitor plates: What is the magnitude of the charge on each plate?

A small plastic ball of mass 6.39 x 10-3 kg and charge +0.164 C is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the vertical. The area of each plate is 0.01215 m2. What is the magnitude of

### Electrostatics: Coulomb's law, polarization, capacitance.

1. If you turn on a faucet so that a thin stream of water flows from it, you may demonstrate to yourself that a charged object (such as a plastic comb) brought near it will deflect the water. The force is always attractive. Explain why this happens, in terms of the polarization of water. Draw a diagram to illustrate. 2. Supp

### Elotrostatics: Energy of capacitors in series and parallel

There is an attachment of what the problem is. I also wrote a little bit of what I tried. --- Consider the group of capacitors shown in Figure 21-39, where C1 = 13 µF and C2 = 6.4 µF. Terminals A and B are connected to a 9.0 V battery. Find the energy stored in each capacitor. (See diagram in attachment) ---

### Circuits with capacitors

The figure (attached) shows a simplified circuit for a photographic flash unit. This circuit consists of a 9.0 V battery, an R = 45.0 k resistor, a 140 µF capacitor, a flashbulb, and two switches. Initially, the capacitor is uncharged and the two switches are open. To charge the unit, switch S1 is closed; to fire the flash, sw

### Capacitance: Parallel plate capacitor, series and parallel combinations, switch for a given charging potential

Please see attached files. Please place step by step solutions and answers on separate piece of paper and give answer please. Draw pictures if needed. PLEASE DO all questions, again show all math, diagrams, etc. and only first 5 problems 1. Figure 25-19 shows plots of charge versus potential difference for three parallel

### Capacitance and Voltage

(a) Determine the equivalent capacitance between points a and b for the combination of capacitors shown (see attached). (b) Determine the charge on each capacitor and the voltage across each if Vab= V.

### What is the equivalent capacitance of the two capacitors

Two capacitors, one 6.6 µF the other 29 µF, are connected in parallel across a 12 V battery. What is the equivalent capacitance of the two capacitors? And what is the charge stored on each capacitor? Q 6.6 µF = Q 29 µF: =

### Capacitors

Consider a group of capacitors, where C1=14 µF and C2=6.8 µF. Terminals A and B are connected to a 9.0 V battery. Find the energy stored in each capacitor. 14 µF capacitor : 6.8 µF capacitor : 22 µF capacitor: Please see attached for diagram.

### Potential Between Different Dielectric

For the last question I posted, the Key says the answer is 0.50 nF. How do they get that answer? P.S. I have Teflon being 2.1 and paper being 3.5 Since the potential between point a and b is the potential between the plates, when a capacitor is half filled with a different dielectric, then we can describe the system as t

### Define Non-Destructive Testing and Non-Mechanical Properties

Please provide assistance with the following: Section 2 Define what is non destructive testing and illustrate some of it's usage. to support this detail three methods of non destructive testing and write a clear explanation of the process involved and where they might be used. Section 3 Choose one of the following areas and

### What is the equivalent resistance and capacitance?

1. A 100 ohm resistor is joined in parallel with a 47 ohm resistor. What is the equivalent resistance? 2. Three capacitors of 2.0, 5.0, and 20 microF are joing together in parallel. What is their equaivalent capacitance? 3. Three capacitors of 1.0, 1.5, and 5.0 uF are joined together in series. What is their equivalent cap

### Capacitors

Two capacitors are connected in parallel. If a third capacitor is connected in parallel with the other two, does the equivalent capacitance increase, decrease, or remain the same? Explain.

### Voltage on a capacitor

A 12.5 micro Farad capacitor is charged by a 150 volt battery and then is disconnected from the battery. When this capacitor (C1) is then connected to a second (uncharged) capacitor, the voltage on C1 drops to 10 volts. What is the value of C2? (I need a very detailed solution, with every micro-step detailed)

### Finding Voltage Across a Micro Farad Capacitor

Three capacitors(4.0, 6.0 and 15.0 Micro Farads) are connected in series across a 50 volts battery. Find the voltage across the 4.0 micro Farad capacitor. Answer in volts.

### Maximum and Minimum Capacitance of Three Capacitors

You have three capacitors, of capacitance 1610pF, 7240pF and 0.0270 micro F. What is the maximum capacitance that you can form from these? What is the minimum capacitance that you can form from these?

### Capacitance and electric potential

A 2.61 micro F capacitor is charged to 1380 V and a 7.79 micro F is charged to 490 V. These capacitors are then disconnected from their batteries, and the positive plates are now connected to each other and the negative plates are connected to each other. What will be the charge on the 2.61 micro F capacitor and what will be th

### Nested Shell Capacitor

A) Argue that the energy stored in the electric field of such a capacitor is Ufield=1/2CVo2, if Vo is the potential difference. (Hint: Argue that between the plates, the field strength is E&#61627;Vo/d, where d&#61626;Ro -RI is the distance between the conductors. Use the equation for the capacitance of a nested sell capacitor