College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 19, Problem 10PE
Integrated Concepts
Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei toward one another. (a) Calculate the potential energy of two singly charged nuclei separated by 1 .00 × 10-12 m by finding the voltage of one at that distance and multiplying by the charge of the other. (b) At what temperature will atoms of a gas have an average kinetic energy equal to this needed electrical potential energy?
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CSM.10 One way to measure nuclear radii is to determine
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Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion
must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei
toward one another.
(a) Calculate the potential energy (in J) of two singly charged nuclei separated by 1.53 × 10¬12
of one at that distance and multiplying by the charge of the other.
m by finding the voltage
(b) At what temperature (in K) will atoms of a gas have an average kinetic energy equal to this needed electrical
potential energy?
K
An electric field does 1.99 ✕ 103 eV of work on a carbon nucleus of charge 6 e. Find the change in electric potential through which the nucleus has moved and the change in the nucleus' electric potential energy in joules. (Note that the charge on the nucleus is exact in terms of multiples of e.)
a) change in electric potential (v)
b) change in electric potential energy (in joules)
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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