University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 8, Problem 30P
, An empty parallel-plate capacitor has a capacitance of
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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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- 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_forwardWhat 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_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_forward
- What 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_forwardWhen a potential difference of 150. V is applied to the plates of an air-filled parallel-plate capacitor, the plates carry a surface charge density of 3.00 1010 C/cm2. What is the spacing between the plates?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
- 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_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_forwardAir breaks down and conducts charge as a spark if the electric field magnitude exceeds 3.00 106 V/m. (a) Determine the maximum charge Qmax that can be stored on an air-filled parallel-plate capacitor with a plate area of 2.00 104 m2. (b) A 75.0 F air-filled parallel-plate capacitor stores charge Qmax. Find the potential difference across its plates.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_forwardFour capacitors are connected as shown in Figure P20.45. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking Vab = 15.0 V. Figure P20.45arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P25.12 (page 686). 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 P25.12arrow_forward
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