PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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(b) A student has three capacitors. Two of the capacitors have a capacitance of 4.0 µF and one
has a capacitance of 8.0 µF.
Draw labelled circuit diagrams, one in each case, to show how the three capacitors may be
connected to give a total capacitance of:
(i) 1.6uF
(ii) 10µF.
(i) What is the effective capacitance of the following capacior network?
(ii) Given that the voltage between a and b is 10 volts, What is the charge on the 2 µF and
4 µF capacitors and what is the potential difference across the 6 µF capacitor?
(iii) What is the energy stored in the 6 µF capacitor?
(iv) If a dielectric of K=2 is inserted into the 2 µF capacitor, what is the charge on this
capacitor after that?
2.0 LF
4.0 µF
6.0 µF
Problem 26
27. (11) Consider three capacitors, of capacitance 3100 pF, 5800 pF, and 0.0100 F. What maximum and minimum capacitance can you form from
these? How do you make the connection in each case?
28. (II) In Fig. 24-25, suppose C₁=C₂=C3=C4 = C. (a) Determine the equivalent capacitance between points a and b. (b) Determine the
charge on each capacitor and the potential differ
Chapter 24 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
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 - 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 - Prob. 5MCQCh. 24 - Prob. 6MCQCh. 24 - Prob. 9MCQCh. 24 - Prob. 11MCQCh. 24 - Prob. 12MCQCh. 24 - Prob. 13MCQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Prob. 13PCh. 24 - Prob. 14PCh. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 49PCh. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - (II) Two different dielectrics fill the space...Ch. 24 - (II) Repeat Problem 60 (Fig. 2431) but assume the...Ch. 24 - Prob. 63PCh. 24 - Prob. 76GPCh. 24 - Prob. 84GPCh. 24 - Prob. 87GP
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- Check Your Understanding Repeat the calculations of Example 8.10 for the case in which the battery remains connected while the dielectric is placed in the capacitor.arrow_forwardCheck Your Understanding Determine the net capacitance C of each network of capacitors shown below. Assume the C1= 1.0 pF, C2=2.0pF, C3=4.0pF, and C4=5.0 pF. Find the charge on each capacitor, assuming there is a potential difference of 12.0 V across each network.arrow_forwardSuppose that the capacitance of a variable capacitor can be manually changed from 100 pF to 800 pF by turning a dial, connected to one set of plates by a shaft from 0° to 180°. With the dial set at 180° (corresponding to C — 800 pF), the capacitor is connected to a 500-V source. After charging, the capacitor is disconnected from the source, and the dial is turned to 0°. If friction is negligible, how much work is required to turn the dial from 180° to 0°?arrow_forward
- Check 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_forward
- (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.arrow_forwardCheck Your Understanding Continuing with Example 8.12, show that when the battery is connected across the plates the energy stored in dielectric-filled capacitor is U=kU0 (larger than the energy U0 of an empty capacitor kept at the same voltage). Compare this result with the result U=U0/K found previously for an isolated, charged capacitor.arrow_forwardIf three unequal capacitors, initially uncharged, are connected in series across a battery, which of the following statements is true? (a) The equivalent capacitance is greater than any of the individual capacitances, (b) The largest voltage appeal's across the smallest capacitance, (c) The largest voltage appears across the largest capacitance. (d) The capacitor with the largest capacitance has the greatest charge, (e) The capacitor with the smallest capacitance has the smallest charge.arrow_forward
- 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_forwardTwo 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?arrow_forwardA 10.0-F capacitor is charged to 15.0 V. It is next connected in series with an uncharged 5.00-F capacitor. The series combination is finally connected across a 50.0-V battery as diagrammed in Figure P20.83. Find the new potential differences across the 5.00-F and 10.0-F capacitors after the switch is thrown closed. Figure P20.83arrow_forward
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