College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 19, Problem 53PE
Find the capacitance of a parallel plate capacitor having plates of area 5.00 m2 that are separated by 0.100 mm of Teflon.
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Chapter 19 Solutions
College Physics
Ch. 19 - Voltage is the common word for potential...Ch. 19 - It the voltage between two points is zero, can a...Ch. 19 - What is the relationship between voltage and...Ch. 19 - Voltages are always measured between two points....Ch. 19 - How are units of volts and electron volts related?...Ch. 19 - Discuss how potential difference and electric...Ch. 19 - What is the strength of the electric field in a...Ch. 19 - Will a negative charge, initially at rest, move...Ch. 19 - In what region of space is the potential due to a...Ch. 19 - Can the potential of a non-uniformly charged...
Ch. 19 - What is an equipotential line? What is an...Ch. 19 - Explain in your own words why equipotential lines...Ch. 19 - Can different equipotential lines cross? Explain.Ch. 19 - Does the capacitance of a device depend on the...Ch. 19 - Use the characteristics of the of the Coulomb...Ch. 19 - Give the reason why a dielectric material...Ch. 19 - How does the polar character of water molecules...Ch. 19 - Sparks will occur between the plates of an air...Ch. 19 - Water has a large dielectric constant, but it is...Ch. 19 - Membranes ii living cells, including those in...Ch. 19 - If you wish to store a large amount of energy m a...Ch. 19 - How does the energy contained in a charged...Ch. 19 - What happens to the energy stored in a capacitor...Ch. 19 - Find the ratio of speeds of an electron and a...Ch. 19 - An evacuated tube uses an accelerating voltage of...Ch. 19 - A bare helium nucleus has two positive charges and...Ch. 19 - Integrated Concepts Singly charged gas ions are...Ch. 19 - Integrated Concepts The temperature near the...Ch. 19 - Integrated Concepts (a) What is the average power...Ch. 19 - Integrated Concepts A lightning bolt strikes a...Ch. 19 - Integrated Concepts: A 12.0 V battery-operated...Ch. 19 - Integrated Concepts A battery-operated car...Ch. 19 - Integrated Concepts Fusion probability is greatly...Ch. 19 - Unreasonable Results (a) Find the voltage near a...Ch. 19 - Construct Your Own Problem Consider a battery used...Ch. 19 - Show that units of Vim and N/C for electric field...Ch. 19 - What is the strength of the electric field between...Ch. 19 - The electric field strength between two parallel...Ch. 19 - How far apart are two conducting plates that have...Ch. 19 - (a) Will the electric field strength between two...Ch. 19 - The voltage across a membrane forming a cell wall...Ch. 19 - Membrane walls of living cells have surprisingly...Ch. 19 - Two parallel conducting plates are separated by...Ch. 19 - Find the maximum potential difference between two...Ch. 19 - A doubly charged ion is accelerated to an energy...Ch. 19 - An electron is to be accelerated in a uniform...Ch. 19 - A 0.500 cm diameter plastic sphere, used in a...Ch. 19 - What is the potential 0.530 x 10-10 m from a...Ch. 19 - (a) A sphere has a surface uniformly charged with...Ch. 19 - How far from a 1.00 C point charge will the...Ch. 19 - What are the sign and magnitude of a point charge...Ch. 19 - If the potential due to a point charge is 5.00 102...Ch. 19 - In nuclear fission. a nucleus splits roughly in...Ch. 19 - A research Van de Graaff generator has a 2.00-rn-...Ch. 19 - An electrostatic paint sprayer has a...Ch. 19 - In one of the classic nuclear physics experiments...Ch. 19 - (a) What is the potential between two points...Ch. 19 - Unreasonable Results (a) What is the final speed...Ch. 19 - (a) Sketch the equipotential lines near a point...Ch. 19 - Sketch the equipotential lines for the two equal...Ch. 19 - Figure 19.28 shows the electric field lines near...Ch. 19 - Sketch the equipotential lines a long distance...Ch. 19 - Sketch the equipotential lines in the vicinity of...Ch. 19 - Sketch the equipotential lines in the vicinity of...Ch. 19 - Sketch the equipotential lines surrounding the two...Ch. 19 - (a) Sketch the electric field lines in the...Ch. 19 - The naturally occurring charge on the ground on a...Ch. 19 - The lesser electric ray (Narcine bancroftii)...Ch. 19 - What charge is stored in a 180 F capacitor when...Ch. 19 - Find the charge stored when 5.50 V is applied to...Ch. 19 - What charge is stored in the capacitor in Example...Ch. 19 - Calculate the voltage applied to a 2.00 F...Ch. 19 - What voltage must be applied to an 8.00 nF...Ch. 19 - What capacitance is needed to store 3.00 C of...Ch. 19 - What is the capacitance of a large Van de Graaff...Ch. 19 - Find the capacitance of a parallel plate capacitor...Ch. 19 - (a) What is the capacitance of a parallel plate...Ch. 19 - Integrated Concepts A prankster applies 450 V to...Ch. 19 - Unreasonable Results (a) A certain parallel plate...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Suppose you want a capacitor bank with a total...Ch. 19 - What total capacitances can you make by connecting...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Unreasonable Results (a) An 8.00 F capacitor is...Ch. 19 - (a) What is the energy stored in the 10.0 F...Ch. 19 - In open heart surgery. a much smaller amount of...Ch. 19 - A 165 F capacitor is used in conjunction with a...Ch. 19 - Suppose you have a 9.00 V battery, a 2.00 F...Ch. 19 - A nervous physicist worries that the two metal...Ch. 19 - Show that for a given dielectric material the...Ch. 19 - Construct Your Own Problem Consider a heart...Ch. 19 - Unreasonable Results (a) On a particular day, it...
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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 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_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_forward
- When 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_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_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
- (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_forwardCheck 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 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
- A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. Tire inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor, (a) What is the capacitance of the capacitor? tb) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?arrow_forwardA 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_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
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