I Review | ConstantsTwo air-filled parallel-plate capacitors withcapacitances C1 and C2 are connected in series toa battery that has voltage V; Cı = 3.00 µF andC2 = 6.00 µF. The electric field between the platesof capacitor C2 is E02. While the two capacitorsremain connected to the battery, a dielectric withdielectric constant K = 4 is inserted between theplates of capacitor C1, completely filling the spacebetween them. After the dielectric is inserted in C,the electric field between the plates of capacitor C2is E2.Part BWhen the dielectric is inserted into C1, does the electric field in C2 increase, decrease, or remain the same?increasedecreasestay the sameSubmitRequest AnswerPart CRepeat the calculation in part A for the two capacitors connected to the battery in parallel.ΑΣφ?E2E02SubmitRequest Answer I Review | ConstantsTwo air-filled parallel-plate capacitors withcapacitances C1 and C2 are connected in series toa battery that has voltage V; Cı = 3.00 µF andC2 = 6.00 µF. The electric field between the platesof capacitor C2 is E02. While the two capacitorsremain connected to the battery, a dielectric withdielectric constant K = 4 is inserted between theplates of capacitor C1, completely filling the spacebetween them. After the dielectric is inserted in C,the electric field between the plates of capacitor C2is E2.Part A%3DWhat is the ratio E2/E02??E2E92SubmitRequest AnswerPart BWhen the dielectric is inserted into C1, does the electric field in C2 increase, decrease, or remain the same?increasedecreasestay the sameSubmitRequest Answer

A) The electric field between the plates of a capacitor can be given as, Here, V and d represent…

I Review | Constants Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in series to a battery that has voltage V; C1 = 3.00 µF and C2 = 6.00 µF. The electric field between the plates of capacitor C2 is E02. While the two capacitors remain connected to the battery, a dielectric with dielectric constant K = 4 is inserted between the plates of capacitor C1 , completely filling the space between them. After the dielectric is inserted in C the electric field between the plates is E2. Part B When the dielectric is inserted into C, does the electric field in C2 increase, decrease, or remain the same? O increase capacitor C2 O decrease stay the same Submit Request Answer Part C Repeat the calculation in part A for the two capacitors connected to the battery in parallel. E, %3D E92 Submit Request Answer

I Review | Constants Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in series to a battery that has voltage V; C1 = 3.00 µF and C2 = 6.00 µF. The electric field between the plates of capacitor C2 is E02. While the two capacitors remain connected to the battery, a dielectric with dielectric constant K = 4 is inserted between the plates of capacitor C1 , completely filling the space between them. After the dielectric is inserted in C the electric field between the plates is E2. Part B When the dielectric is inserted into C, does the electric field in C2 increase, decrease, or remain the same? O increase capacitor C2 O decrease stay the same Submit Request Answer Part C Repeat the calculation in part A for the two capacitors connected to the battery in parallel. E, %3D E92 Submit Request Answer

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter16: Electrical Energy And Capacitance

Section: Chapter Questions

Problem 51P: A parallel-plate capacitor has capacitance 3.00 F. (a) How much energy is stored in the capacitor if...

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(a) When a battery is connected to the plates of a 3.00-F capacitor, it stores a charge of 27.0 C. What is the voltage of the battery? (b) If the same capacitor is connected to another batten and 36.0 C of charge is stored on the capacitor, what is the voltage of the battery?
Check Your Understanding When a dielectric is inserted into an isolated and charged capacitor, the stored energy decreases to 33% of its original value, (a) What is the dielectric constant? (b) How does the capacitance change?
A parallel-plate capacitor is disconnected from a batter, and the plates are pulled a small distance farther apart. Do the following quantities increase, decrease, or stay the same? (a) C (b) Q (c) E between the plates (d) V (e) PEC
A capacitor has parallel plates of area 12 cm2 separated by 2.0 mm. The space between the plates is filled with polystyrene, (a) Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown, (b) When the voltage equals the value found in part (a), find the surface charge density on the surface of the dielectric.
(a) When a 9.00-V battery is connected to the plates of a capacitor, it stores a charge of 27.0 C. What is the value of the capacitance? (b) If the same capacitor is connected to a 12.0-V battery, what charge is stored?
Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are connected in series, and a 12.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. (b) Find the energy stored in each individual capacitor. Show that the sum of these two energies is the same as the energy found in part (a). Will this equality always be true, or does it depend on the number of capacitors and their capacitances? (c) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy' as in part (a)? Which capacitor stores more energy in this situation, C1 or C2?
A parallel-plate capacitor is disconnected from a batter, and the plates are pulled a small distance farther apart. Do the following quantities increase, decrease, or stay the same? (a) C (b) Q (c) E between the plates (d) V (e) PEC
A large parallel-plate capacitor is attached to a battery that has terminal potential (Fig. 27.15A). After a period of time, the capacitor stores charge Q so that its top plate is positive and its bottom plate is negative, and the potential difference between the plates is VC = . An I-shaped neutral conductor consisting of two parallel plates connected by a wire is slipped between the plates of the capacitor so that all four plates are parallel (Fig. 27.15B). What are the charges q1, and q2 on the plates of the I-shaped conductor? What is the potential difference VC between the top and bottom plates of the capacitor?
Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are connected in series, and a 12.0-V battery is connected across the two capacitors. Find (a) the equivalent capacitance and (b) the energy stored in this equivalent capacitance. (c) Find the energy stored in each individual capacitor. (d) Show that the sum of these two energies is the same as the energy found in part (b). (e) Will this equality always be true, or docs it depend on the number of capacitors and their capacitances? (f) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy as in part (a)? (g) Which capacitor stores more energy in this situation, C1 or C2?
(i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, (ii) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.
a. If capacitor B in Figure 27.8 has a charge of 0.5 nC, what is the potential difference between its plates and how much potential energy does it store? b. If capacitor A in Figure 27.8 stores the same amount of potential energy found in part (a), what is the magnitude of the excess charge on its plates? What is the potential difference between its plates? Use the capacitance CA found in Concept Exercise 27.2.
a parallel-plate capacitor with area 0.200 m2 and plate separation of 3.00 mm is connected to a 6.00-V battery. (a) What is the capacitance? (b) How much charge is stored on the plates? (c) What is the electric field between the plates? (d) Find the magnitude of the charge density on each plate. (e) Without disconnecting the battery, the plates are moved farther apart. Qualitatively, what happens to each of the previous answers?