Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 23, Problem 57PQ
How many electrons are in a 1.00-g electrically neutral steel paper clip? The molar mass of steel is approximately that of iron, or 55.845 g/mol, and a neutral iron atom has 26 electrons.
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Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?
The number of electrons needed to go from -1.5 μC to -2.1 μC would be ______________? The charge on an electron is 1.6 x 10^-19 C.
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function:
E = αe-r/a0 + β/r + b0
where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance.
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
Calculating the antiderivative or indefinite integral ,
Vab = (-αa0e-r/a0 + β + b0 )
By definition, the capacitance C is related to the charge and potential difference by:
C = /
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q / ( (e-rb/a0 - e-ra/a0) + β ln() + b0 () )
Chapter 23 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 23.2 - Initially a glass rod and a piece of silk are...Ch. 23.3 - a. In Figure 23.8, why are there three plus signs...Ch. 23.3 - When wool is rubbed against amber, the wool...Ch. 23.3 - Prob. 23.4CECh. 23.4 - The following scenarios involve a metal ball and a...Ch. 23.4 - Prob. 23.6CECh. 23 - What is the difference between a contact force and...Ch. 23 - Many textbooks claim Franklin decided that moving...Ch. 23 - An object has a charge of 35 nC. How many excess...Ch. 23 - As part of a demonstration, a physics professor...
Ch. 23 - A single coulomb represents a large amount of...Ch. 23 - A sphere has a net charge of 8.05 nC, and a...Ch. 23 - A glass rod is initially neutral. After it is...Ch. 23 - After an initially neutral glass rod is rubbed...Ch. 23 - A 50.0-g piece of aluminum has a net charge of...Ch. 23 - Prob. 10PQCh. 23 - A silk scarf is rubbed against glass, and a wool...Ch. 23 - CASE STUDY A person in Franklins time may have...Ch. 23 - Prob. 13PQCh. 23 - Prob. 14PQCh. 23 - A charge of 36.3 nC is transferred to a neutral...Ch. 23 - Prob. 16PQCh. 23 - Prob. 17PQCh. 23 - An electrophorus is a device developed more than...Ch. 23 - Prob. 19PQCh. 23 - An electroscope is a device used to measure the...Ch. 23 - Two particles with charges of +5.50 nC and 8.95 nC...Ch. 23 - Particle A has a charge of 34.5 nC, and particle B...Ch. 23 - Prob. 23PQCh. 23 - Prob. 24PQCh. 23 - Particle A has charge qA and particle B has charge...Ch. 23 - Two charged particles are placed along the y axis....Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - Two particles with charges q1 and q2 are separated...Ch. 23 - An electron with charge e and mass m moves in a...Ch. 23 - Two electrons in adjacent atomic shells are...Ch. 23 - Two small, identical metal balls with charges 5.0...Ch. 23 - Two identical spheres each have a mass of 5.0 g...Ch. 23 - One end of a light spring with force constant k =...Ch. 23 - Two 25.0-g copper spheres are placed 75.0 cm...Ch. 23 - Three charged particles lie along a single line....Ch. 23 - Given the arrangement of charged particles shown...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Three charged metal spheres are arrayed in the xy...Ch. 23 - Charges A, B, and C are arrayed along the y axis,...Ch. 23 - Three identical conducting spheres are fixed along...Ch. 23 - Charges A, B, and C are arranged in the xy plane...Ch. 23 - Prob. 44PQCh. 23 - A particle with charge q is located at the origin,...Ch. 23 - Figure P23.46 shows four identical conducting...Ch. 23 - Prob. 47PQCh. 23 - Two metal spheres of identical mass m = 4.00 g are...Ch. 23 - Figure P23.49 shows two identical small, charged...Ch. 23 - Two small spherical conductors are suspended from...Ch. 23 - Four equally charged particles with charge q are...Ch. 23 - Four charged particles q, q, q, and q are Fixed...Ch. 23 - A metal sphere with charge +8.00 nC is attached to...Ch. 23 - Prob. 54PQCh. 23 - Three small metallic spheres with identical mass m...Ch. 23 - How does a negatively charged rubber balloon stick...Ch. 23 - How many electrons are in a 1.00-g electrically...Ch. 23 - Prob. 58PQCh. 23 - Prob. 59PQCh. 23 - Prob. 60PQCh. 23 - Three charged particles are arranged in the xy...Ch. 23 - A We saw in Figure 23.16 that a neutral metal can...Ch. 23 - Prob. 63PQCh. 23 - A Figure P23.65 shows two identical conducting...Ch. 23 - Two helium-filled, spherical balloons, each with...Ch. 23 - Two small metallic spheres, each with a mass of...Ch. 23 - A Two positively charged spheres with charges 4e...Ch. 23 - Prob. 69PQCh. 23 - Three charged spheres are at rest in a plane as...Ch. 23 - Prob. 71PQCh. 23 - Three particles with charges of 1.0 C, 1.0 C, and...Ch. 23 - A Two positively charged particles, each with...Ch. 23 - Prob. 74PQCh. 23 - Eight small conducting spheres with identical...Ch. 23 - Prob. 76PQCh. 23 - Prob. 77PQCh. 23 - Prob. 78PQCh. 23 - Prob. 79PQ
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