College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 17, Problem 5P
In ordinary laboratory circuits, charges in the µC and nC range are common. How many excess electrons must you add to an object to give it a charge of (a) −2.50 µC, (b) −2.50 nC?
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Flying insects such as bees may accumulate a small positive electric charge as they fly. In one experiment, the mean electric charge of 50 bees was measured to be ++(30 ±± 5) pCpC per bee. Researchers also observed the electrical properties of a plant consisting of a flower atop a long stem. The charge on the stem was measured as a positively charged bee approached, landed, and flew away. Plants are normally electrically neutral, so the measured net electric charge on the stem was zero when the bee was very far away. As the bee approached the flower, a small net positive charge was detected in the stem, even before the bee landed. Once the bee landed, the whole plant became positively charged, and this positive charge remained on the plant after the bee flew away. By creating artificial flowers with various charge values, experimenters found that bees can distinguish between charged and uncharged flowers and may use the positive electric charge left by a previous bee as a cue…
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 () )
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:
Chapter 17 Solutions
College Physics (10th Edition)
Ch. 17 - Bits of paper are attracted to an electrified comb...Ch. 17 - When you walk across a nylon rug and then touch a...Ch. 17 - What similarities does the electric force have to...Ch. 17 - In a common physics demonstration, a rubber rod is...Ch. 17 - A gold leaf electroscope, which is often used in...Ch. 17 - Show how it is possible for neutral objects to...Ch. 17 - Suppose you have a hollow spherical conductor. Is...Ch. 17 - If an electric dipole is placed in a uniform...Ch. 17 - Why do electric field lines point away from...Ch. 17 - A lightning rod is a pointed copper rod mounted on...
Ch. 17 - A rubber balloon has a single point charge in its...Ch. 17 - Explain how the electric force plays an important...Ch. 17 - Just after two identical point charges are...Ch. 17 - If the electric field is E at a distance d from a...Ch. 17 - Two unequal point charges are separated as shown...Ch. 17 - A spherical balloon contains a charge +Q uniformly...Ch. 17 - An electron is moving horizontally in a laboratory...Ch. 17 - Point P in Figure 17.40 is equidistant from two...Ch. 17 - A hollow conductor carries a net charge of +3Q. 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