University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 8, Problem 77CP
A spherical capacitor is formed from two concentric spherical
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Chapter 8 Solutions
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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- An electronics technician wishes to construct a parallel plate capacitor using rutile ( = 100) as the dielectric. The area of the plates is 1.00 cm2. What is the capacitance if the rutile thickness is 1.00 mm? (a) 88.5 pF (b) 177 pF (c) 8.85 F (d) 100 F (e) 35.4 Farrow_forwardA 60.0-pF vacuum capacitor has a plate area of 0.010 m2. What is the separation between its plates?arrow_forwardBy what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b) 31/3 (c) 1 (d) 31/3 (e) 13arrow_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 spherical capacitor consists of a spherical conducting shell of radius b and charge 2Q that is concentric with a smaller conducting sphere of radius a and charge +Q (Fig. P20.36). (a) Show that its capacitance is C=abke(ba) (b) Show that as b approaches infinity, the capacitance approaches the value a/ke = 40a. Figure P20.36arrow_forwardFind an expression for the electric field between the two conducting disks in Figure P27.61. Make sure your expression is general enough to include the possibility of a dielectric between the disks. Check your answer using the information given in Section 27-8. Figure P27.61arrow_forward
- What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.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_forwardA uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains an energy equal to 1.00 107 J? Express your answer in cubic meters and in liters.arrow_forward
- Earth can be considered as a spherical capacitor with two plates, where the negative plate is the surface of Earth and the positive plate is the bottom of the ionosphere, which is located at an altitude of approximately 70 km. The potential difference between Earth’s surface and the ionosphere is about 350,000 V. (a) Calculate the capacitance of this system, (b) Find the total charge on this capacitor, (c) Find the energy stored in this system.arrow_forwardAn air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each plate is 8.0cm2. (a) What is the capacitance of this set of plates? (b) If the region between the plates is filled with a material whose dielectric constant is 6.0, what is the new capacitance?arrow_forwardA 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.arrow_forward
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