University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 8, Problem 70AP
A parallel-plate capacitor with capacitance
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University Physics Volume 2
Ch. 8 - Check Your Understanding The capacitance of a...Ch. 8 - Check Your Understanding Verify that /V and e0/d...Ch. 8 - Check Your Understanding The radius of the outer...Ch. 8 - Check Your Understanding When a cylindrical...Ch. 8 - Check Your Understanding Determine the net...Ch. 8 - Check Your Understanding The potential difference...Ch. 8 - Check Your Understanding When a dielectric is...Ch. 8 - Check Your Understanding Continuing with Example...Ch. 8 - Check Your Understanding Repeat the calculations...Ch. 8 - Does the capacitance of a device depend on the...
Ch. 8 - Would you place the plates of a parallel-plate...Ch. 8 - The value of the capacitance is zero if the plates...Ch. 8 - If the plates of a capacitor have different areas,...Ch. 8 - Does the capacitance of a spherical capacitor...Ch. 8 - If you wish to store a large amount of charge in a...Ch. 8 - What is the maximum capacitance you can get by...Ch. 8 - If you wish to store a large amount of energy in a...Ch. 8 - Discuss what would happen if a conducting slab...Ch. 8 - Discuss how the energy stored in an empty but...Ch. 8 - Distinguish between dielectric strength and...Ch. 8 - Water is a good solvent because it has a high...Ch. 8 - Water has a high dielectric constant. Explain why...Ch. 8 - Elaborate on why molecules in a dielectric...Ch. 8 - Explain why the dielectric constant of a substance...Ch. 8 - Give a reason why a dielectric material increases...Ch. 8 - Elaborate on the way in which the polar character...Ch. 8 - Sparks will occur between the plates of an...Ch. 8 - What charge is stored in a 180.0F capacitor when...Ch. 8 - Find the charge stored when 5.50 V is applied to...Ch. 8 - Calculate the voltage applied to a 2.00F capacitor...Ch. 8 - What voltage must be applied to an 8.00-nF...Ch. 8 - What capacitance is needed to store 3.00C of...Ch. 8 - What is the capacitance of a large Van de Graaff...Ch. 8 - The plates of an empty parallel-plate capacitor of...Ch. 8 - A 60.0-pF vacuum capacitor has a plate area of...Ch. 8 - A set of parallel plates has a capacitance of 5.0F...Ch. 8 - Consider Earth to be a spherical conductor of...Ch. 8 - If the capacitance per unit length of a...Ch. 8 - , An empty parallel-plate capacitor has a...Ch. 8 - A 4.00-pF is connected in series with an 8.00-pF...Ch. 8 - Three capacitors, with capacitances of C1=2.0F ,...Ch. 8 - Find the total capacitance of this combination of...Ch. 8 - Suppose you need a capacitor bank with a total...Ch. 8 - What total capacitances can yon make by connecting...Ch. 8 - Find the equivalent capacitance of the combination...Ch. 8 - Find the net capacitance of the combination of...Ch. 8 - A 40-pF capacitor is charged to a potential...Ch. 8 - A 2.0F capacitor and a 4.0F capacitor are...Ch. 8 - How much energy is stored in an 8.00F capacitor...Ch. 8 - A capacitor has a charge of 2.5C when connected to...Ch. 8 - How much energy is stored in die electrical field...Ch. 8 - (a) What is the energy stored in the 10.0F...Ch. 8 - In open-heart surgery, a much smaller amount of...Ch. 8 - A 165F capacitor is used in conjunction with a dc...Ch. 8 - Suppose you have a 9.00-V battery, a 2.00F...Ch. 8 - An anxious physicist worries that the two metal...Ch. 8 - A parallel-plate capacitor is made of two square...Ch. 8 - Suppose that the capacitance of a variable...Ch. 8 - Show that for a given dielectric material, the...Ch. 8 - An air-filled capacitor is made from two flat...Ch. 8 - A capacitor is made from two concentric spheres,...Ch. 8 - A parallel-plate capacitor has charge of magnitude...Ch. 8 - Some cell walls in the human body have a layer of...Ch. 8 - A parallel-plate capacitor with only air between...Ch. 8 - Two flat plates containing equal and opposite...Ch. 8 - For a Teflon ™-filled, parallel-plate capacitor,...Ch. 8 - Find the capacitance of a parallel-plate capacitor...Ch. 8 - (a) What is the capacitance of a parallel-plate...Ch. 8 - Two parallel plates have equal and opposite...Ch. 8 - The dielectric to be used in a parallel-plate...Ch. 8 - When a 360-nF air capacitor is connected to a...Ch. 8 - A parallel-plate capacitor has square plates that...Ch. 8 - A capacitor is made from two flat parallel plates...Ch. 8 - An air-filled (empty) parallel-plate capacitor is...Ch. 8 - Suppose that the capacitance of a variable...Ch. 8 - Earth can be considered as a spherical capacitor...Ch. 8 - A 4.00F capacitor and a 6.00F capacitor are...Ch. 8 - Three capacitors having capacitances of 8.40,...Ch. 8 - A parallel-plate capacitor with capacitance 5.0F...Ch. 8 - (a) How much energy is stored in the electrical...Ch. 8 - Three capacitors having capacitances 8.4, 8.4, and...Ch. 8 - (a) An 8.00/F capacitor is connected in parallel...Ch. 8 - (a) On a particular day, it takes 9.60103 J of...Ch. 8 - (a) A certain parallel-plate capacitor has plates...Ch. 8 - A prankster applies 450 V to an 80.0F capacitor...Ch. 8 - A spherical capacitor is formed from two...Ch. 8 - The network of capacitors shown below are all...Ch. 8 - Electronic flash units for cameras contain a...Ch. 8 - A spherical capacitor is formed from two...Ch. 8 - Prob. 81CPCh. 8 - A parallel-plate capacitor is filled with two...Ch. 8 - A parallel-plate capacitor is filled with two...Ch. 8 - A capacitor has parallel plates of area 12 cm2...
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- A parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does the stored energy change when the plate separation is then doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It stays the same. (d) It becomes one-half as large. (e) It becomes one-fourth as large.arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46arrow_forward(a) Regarding (lie Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km2 and the air between the cloud and the ground is pure and dry'. Assume charge builds up on the cloud and on the ground until a uniform electric field of 3.00 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt, (b) What is the maximum charge the cloud can hold?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_forwardA parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0 separated by distance d0. The potential difference across the plates is V0. If the capacitor is attached to a battery and the charge is doubled to 2Q0, what are the ratios (a) Cnew/C0 and (b) Vnew/V0? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A0. If given a charge of Q0, what are the ratios (c) Cnew/C0 and (d) Vnew/V0? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d0. If the third capacitor is then given a charge of Q0, what are the ratios (e) Cnew/C0 and (f) Vnew/V0?arrow_forwardAn arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.arrow_forward
- A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0 separated by distance d0. The potential difference across the plates is V0. If the capacitor is attached to a battery and the charge is doubled to 2Q0, what are the ratios (a) Cnew/C0 and (b) Vnew/V0? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A0. If given a charge of Q0, what are the ratios (c) Cnew/C0 and (d) Vnew/V0? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d0. If the third capacitor is then given a charge of Q0, what are the ratios (e) Cnew/C0 and (f) Vnew/V0?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_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P20.44. Take C1 = 5.00 F, C2 = 10.0 F, and C3 = 2.00 F. (b) What charge is stored on C3 if the potential difference between points a and b is 60.0 V? Figure P20.44arrow_forward
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