Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 24, Problem 1P
(I) The two plates of a capacitor hold +2800 μC and −2800 μC of charge, respectively, when the potential difference is 930 V. What is the capacitance?
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(I) The two plates of a capacitor hold +2500µ C and -2500 µ C of charge, respectively, when the potential difference is 960 V. What is the capacitance?
(2) An electric charge is stored in a parallel-plate capacitor with capacitance
C. The distance between the plates in this capacitor is tripled, keeping the
electric charge unchanged. How much work is done from outside in this proc-
ess?
(a) 3CQ
3Q²
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(b) 2CQ
2Q²
C
(e) CQ
(h)
Q²
(d) //co
Q²
2C
(i)
(e) cQ
S
Q²
3C
(i) A battery is attached to several different capacitors connected in parallel.
Which of the following statements is true?
O All capacitors have the same charge, and the equivalent capacitance is
greater than the capacitance of any of the capacitors in the group.
O The potential difference across each capacitor is the same, and the
equivalent capacitance is greater than any of the capacitors in the group.
O The capacitor with the smallest capacitance carries the largest charge.
O The capacitor with the largest capacitance carries the smallest charge.
O 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.
O All capacitors have the same charge, and the equivalent capacitance is
greater than the capacitance of any of the capacitors in the group.
O The potential difference across each…
Chapter 24 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 24.1 - Graphs for charge versus voltage are shown in Fig....Ch. 24.2 - Two circular plates of radius 5.0 cm are separated...Ch. 24.2 - What is the capacitance per unit length of a...Ch. 24.3 - Consider two identical capacitors C1 = C2 = 10 F....Ch. 24.5 - Return to the Chapter-Opening Question, page 628,...Ch. 24 - Suppose two nearby conductors carry the same...Ch. 24 - Suppose the separation of plates d in a...Ch. 24 - Suppose one of the plates of a parallel-plate...Ch. 24 - When a battery is connected to a capacitor, why do...Ch. 24 - Describe a sample method of measuring 0 using a...
Ch. 24 - Suppose three identical capacitors are connected...Ch. 24 - A large copper sheet of thickness is placed...Ch. 24 - The parallel plates of an isolated capacitor carry...Ch. 24 - How does the energy in a capacitor change if (a)...Ch. 24 - If the voltage across a capacitor is doubled, the...Ch. 24 - An isolated charged capacitor has horizontal...Ch. 24 - Suppose a battery remains connected to the...Ch. 24 - How does the energy stored in a capacitor change...Ch. 24 - For dielectrics consisting of polar molecules, how...Ch. 24 - A dielectric is pulled out from between the plates...Ch. 24 - We have seen that the capacitance C depends on the...Ch. 24 - What value might we assign to the dielectric...Ch. 24 - (I) The two plates of a capacitor hold +2800 C and...Ch. 24 - (I) How much charge flows from a 12.0-V battery...Ch. 24 - (I) The potential difference between two short...Ch. 24 - (I) The charge on a capacitor increases by 26 C...Ch. 24 - (II) A 7.7-F capacitor is charged by a 125-V...Ch. 24 - (II) An isolated capacitor C1 carries a charge Q0....Ch. 24 - (II) It takes 15 J of energy to move a 0.20-mC...Ch. 24 - (II) A 2.70-F capacitor is charged to 475 V and a...Ch. 24 - (II) Compact ultracapacitors with capacitance...Ch. 24 - (II) In a dynamic random access memory (DRAM)...Ch. 24 - (I) To make a 0.40-F capacitor, what area must the...Ch. 24 - (I) What is the capacitance per unit length (F/m)...Ch. 24 - (I) Determine the capacitance of the Earth,...Ch. 24 - (II) Use Gausss law to show that E=0 inside the...Ch. 24 - (II) Dry air will break down if the electric field...Ch. 24 - (II) An electric field of 4.80 105V/m is desired...Ch. 24 - (II) How strong is the electric field between the...Ch. 24 - (II) A large metal sheet of thickness is placed...Ch. 24 - (III) Small distances are commonly measured...Ch. 24 - (III) In an electrostatic air cleaner...Ch. 24 - (I) The capacitance of a portion of a circuit is...Ch. 24 - (I) (a) Six 3.8-F capacitors are connected in...Ch. 24 - (II) Given three capacitors, C1 = 2.0 F, C2 = 1.5...Ch. 24 - (II) Suppose three parallel-plate capacitors,...Ch. 24 - (II) An electric circuit was accidentally...Ch. 24 - (II) Three conducting plates, each of area A, are...Ch. 24 - (II) Consider three capacitors, of capacitance...Ch. 24 - (II) A 0.50-F and a 0.80-F capacitor are connected...Ch. 24 - (II) In Fig. 2423, suppose C1 = C2 = C3 = C4 = C....Ch. 24 - (II) Suppose in Fig. 2423 that C1 = C2 = C3 = 16.0...Ch. 24 - (II) The switch S in Mg. 2424 is connected...Ch. 24 - (II) (a) Determine the equivalent capacitance...Ch. 24 - FIGURE 2425 Problems 32 and 33. (II) Suppose in...Ch. 24 - (II) Two capacitors connected in parallel produce...Ch. 24 - (II) In the capacitance bridge shown m Fig. 2426,...Ch. 24 - (II) Two capacitors, C1 = 3200 pF and C2 = 1800...Ch. 24 - (II) (a) Determine the equivalent capacitance of...Ch. 24 - (II) In Fig. 2427, let C1 = 2.00 F, C2 = 3.00 F,...Ch. 24 - (III) Suppose one plate of a parallel-plate...Ch. 24 - (III) A voltage V is applied to the capacitor...Ch. 24 - (I) 2200 V is applied to a 2800-pF capacitor. How...Ch. 24 - (I) There is an electric field near the Earths...Ch. 24 - (I) How much energy is stored by the electric...Ch. 24 - (II) A parallel-plate capacitor has fixed charges...Ch. 24 - (II) In Fig. 2427, Let V = 10.0 V and C1 = C2 = C3...Ch. 24 - (II) How much energy must a 28-V battery expend to...Ch. 24 - (II) (a) Suppose the outer radius Ra of a...Ch. 24 - (II) A 2.2-F capacitor is charged by a 12.0-V...Ch. 24 - (II) How much work would be required to remove a...Ch. 24 - (II) (a) Show that each plate of a parallel-plate...Ch. 24 - (II) Show that the electrostatic energy stored in...Ch. 24 - (II) When two capacitors are connected in parallel...Ch. 24 - (II) For commonly used CMOS (complementary metal...Ch. 24 - (I) What is the capacitance of two square parallel...Ch. 24 - (II) Suppose the capacitor in Example 2411 remains...Ch. 24 - (II) How much energy would be stored in the...Ch. 24 - (II) In the DRAM computer chip of Problem 10, the...Ch. 24 - (II) A 3500-pF air-gap capacitor is connected to a...Ch. 24 - (II) Two different dielectrics each fill half the...Ch. 24 - (II) Two different dielectrics fill the space...Ch. 24 - (II) Repeat Problem 60 (Fig. 2431) but assume the...Ch. 24 - (II) Two identical capacitors are connected in...Ch. 24 - (III) A slab of width d and dielectric constant K...Ch. 24 - (III) The quantity of liquid (such as cryogenic...Ch. 24 - (II) Show that the capacitor in Example 2412 with...Ch. 24 - (II) Repeat Example 24-12 assuming the battery...Ch. 24 - (II) Using Example 2412 as a model, derive a...Ch. 24 - (II) In Example 2412 what percent of the stored...Ch. 24 - (III) The capacitor shown in Fig. 2434 is...Ch. 24 - (a) A general rule for estimating the capacitance...Ch. 24 - A cardiac defibrillator is used to shock a heart...Ch. 24 - A homemade capacitor is assembled by placing two...Ch. 24 - An uncharged capacitor is connected to a 34.0-V...Ch. 24 - It takes 18.5 J of energy to move a 13.0-mC charge...Ch. 24 - A huge 3.0-F capacitor has enough stored energy to...Ch. 24 - A coaxial cable, Fig. 2435, consists of an inner...Ch. 24 - The electric field between the plates of a...Ch. 24 - Capacitors can be used as electric charge...Ch. 24 - A parallel-plate capacitor is isolated with a...Ch. 24 - In lightning storms, the potential difference...Ch. 24 - A multilayer film capacitor has a maximum voltage...Ch. 24 - A 3.5 F capacitor is charged by a 12.4-V battery...Ch. 24 - The power supply for a pulsed nitrogen laser has a...Ch. 24 - A parallel-plate capacitor has square plates 12 cm...Ch. 24 - The variable capacitance of an old radio tuner...Ch. 24 - A high-voltage supply can be constructed from a...Ch. 24 - A 175-pF capacitor is connected in series with an...Ch. 24 - A parallel-plate capacitor with plate area 2.0 cm2...Ch. 24 - In the circuit shown in Fig. 2437. C1 = 1.0 F, C2...Ch. 24 - The long cylindrical capacitor shown in Fig. 2438...Ch. 24 - A parallel-plate capacitor has plate area A, plate...Ch. 24 - Consider the use of capacitors as memory cells. A...Ch. 24 - To get an idea how big a farad is, suppose you...Ch. 24 - A student wearing shoes with thin insulating soles...Ch. 24 - A parallel-plate capacitor with plate area A = 2.0...Ch. 24 - Let us try to estimate the maximum static...Ch. 24 - Paper has a dielectric constant K = 3.7 and a...Ch. 24 - (II) Six physics students were each given an air...
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- Check Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?arrow_forwardA parallel-plate capacitor with capacitance 5.0F is charged with a 12.0-V battery, after which the battery is disconnected. Determine the minimum work required to increase the separation between the plates by a factor of 3.arrow_forwardCheck Your Understanding When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders, (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii?arrow_forward
- (i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality, (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential. (d) a 10-F capacitor storing energy 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates, (iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates, (iv) Rank the capacitors in part (i) in the order of the energy they store.arrow_forwardCheck Your Understanding The potential difference across a 5.0-pF capacitor is 0.40 V. (a) What is the energy stored in this capacitor? (b) The potential difference is now increased to 1.20 V. By what factor is the stored energy increased?arrow_forwardCheck Your Understanding The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF?arrow_forward
- The dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?arrow_forwardWould electric potential energy be meaningful if the electric field were not conservative?arrow_forwardWhat is the maximum charge that can be stored on the 8.00-cm2 plates of an air-filled parallel-plate capacitor beforebreakdown occurs? The dielectric strength of air is 3.00 MV/m.arrow_forward
- Check Your Understanding What are the equipotential surfaces for an infinite line charge?arrow_forwardA large metal plate is charged uniformly to a density of a=2.0109C/m2 . How far apart are the equipotential surfaces that represent a potential difference of 25 V?arrow_forwardAn air-filled parallel-plate capacitor with capacitance C0 stores charge Q on plates separated by distance d. The potential difference across the plates is V0 and the energy stored is PEC,0. If the capacitor is disconnected from its voltage source and the space between the plates is then filled with a dielectric of constant = 2.00, evaluate the ratios (a) Cnew/C0, (b) Vnew/V0, and (c) PEC,new/PEC,0.arrow_forward
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