Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 51P
A charge +Q lies at the origin and −3Q at x = a. Find two points on the x-axis where V = 0.
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A charge +Q lies at the origin and -3Q at x = a. Find two points on the x axis where V = 0.
Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis
with one end at the origin. The rod carries a uniformly distributed
charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the
positive x-axis a distance a = 0.45 m from the origin. Refer to the figure.
dy
y
X
a
Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of
the force on the point charge due to the charge on this thin slice?
MultipleChoice :
1) Along the positive x-axis
2) Above the negative x-axis
3) Below the positive x-axis
4) Not enough information to determine
5) There is no force between the point charge and the slice of the rod
6) Above the positive x-axis
7) Below the negative x-axis
Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod.
SchematicChoice :
kQ1Q2ady
Q1Q2ady
kQ,Q2ady dF
dF, =
L(a² + y²)
dFx
3
3
L(a² + y²)ž
L(a² + y²)ž
kQ1Q2ydy
kQ,Qzydy…
Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin.
Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod?
Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.
Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.
Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…
Chapter 22 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 22.1 - What would happen to the potential difference Vab...Ch. 22.1 - (1) A proton (charge e), (2) an alpha particle...Ch. 22.1 - The figure shows three straight paths AB of the...Ch. 22.2 - You measure a potential difference of 50 V between...Ch. 22.2 - The figure shows three paths from infinity to a...Ch. 22.3 - The figure shows cross sections through two...Ch. 22 - Why can a bird perch on a high-voltage power line...Ch. 22 - One proton is accelerated from rest by a uniform...Ch. 22 - Would a free electron move toward higher or lower...Ch. 22 - The electric Field at the center of a uniformly...
Ch. 22 - Must the potential be zero at any point where the...Ch. 22 - Must the electric field he zero at any point where...Ch. 22 - The potential is constant throughout an entire...Ch. 22 - In considering the potential of an infinite flat...Ch. 22 - Cherry picker trucks for working on power lines...Ch. 22 - Can equipotential surfaces intersect? Explain.Ch. 22 - Is the potential at the center of a hollow,...Ch. 22 - A solid sphere contains positive charge uniformly...Ch. 22 - Two equal hut opposite charges form a dipole....Ch. 22 - The electric potential in a region increases...Ch. 22 - How much work does it take to move a 50-C charge...Ch. 22 - The potential difference between the two sides of...Ch. 22 - It takes 45 J to move a 15-mC charge from point A...Ch. 22 - Show that 1 V/m is the same as 1 N/C.Ch. 22 - Find the magnitude of the potential difference...Ch. 22 - A charge of 3.1 C moves from the positive to the...Ch. 22 - A proton, an alpha particle (a bare helium...Ch. 22 - The potential difference across a typical cell...Ch. 22 - An electric field is given by E= E0, where E0 is a...Ch. 22 - The classical picture of the hydrogen atom has the...Ch. 22 - The potential at the surface of a 10-cm-radius...Ch. 22 - Youre developing a switch for high-voltage power...Ch. 22 - A 3.5-cm-diameter isolated metal sphere carries...Ch. 22 - In a uniform electric field, equipotential planes...Ch. 22 - Figure 22.22 shows a plot of potential versus...Ch. 22 - figure 22.23 shows some equipotentials in the x-y...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Dielectric breakdown of air occurs at fields of 3...Ch. 22 - Youre an automotive engineer working on the...Ch. 22 - A large metal sphere has three times the diameter...Ch. 22 - Two points A and B lie 15 cm apart in a uniform...Ch. 22 - The electric field within a cell membrane is...Ch. 22 - Whats the potential difference between the...Ch. 22 - Whats the charge on an ion that gains 1.61015 J...Ch. 22 - Two Hat metal plates are a distance d apart, where...Ch. 22 - An electron passes point A moving at 6.5 Mm/s. At...Ch. 22 - A 5.0-g object carries 3.8 C. It acquires speed v...Ch. 22 - Points A and B lie 32.0 cm apart on a line...Ch. 22 - A sphere of radius R carries negative charge of...Ch. 22 - Proton-beam therapy can be preferable to X rays...Ch. 22 - A thin spherical shell has radius R and total...Ch. 22 - A solid sphere of radius R carries charge Q...Ch. 22 - Find the potential as a function of position in...Ch. 22 - Your radio station needs a new coaxial cable to...Ch. 22 - The potential difference between the surface of a...Ch. 22 - Three equal charges q form an equilateral triangle...Ch. 22 - A charge +Q lies at the origin and 3Q at x = a....Ch. 22 - Two identical charges q lie on the x-axis at a....Ch. 22 - A dipole of moment p = 2.9 nC m consists of two...Ch. 22 - A thin plastic rod 20 cm long carries 3.2 nC...Ch. 22 - A thin ring of radius R carries charge 3Q...Ch. 22 - The potential at the center of a uniformly charged...Ch. 22 - The annulus shown in Fig. 22.25 carries a uniform...Ch. 22 - The potential in a region is given by V = axy,...Ch. 22 - Use Equation 22.6 to calculate the electric field...Ch. 22 - Use the result of Example 22.6 to determine the...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Two metal spheres each 1.0 cm in radius are far...Ch. 22 - Two 5.0-cm-diameter conducting spheres are 8.0 m...Ch. 22 - A 2.0-cm-radius metal sphere carries 75 nC and is...Ch. 22 - A sphere of radius R carries a nonuniform but...Ch. 22 - The potential as a function of position in a...Ch. 22 - A conducting sphere 5.0 cm in radius carries 60...Ch. 22 - INTERPRET Ibis problem deals with the electric...Ch. 22 - The potential on the axis of a uniformly charged...Ch. 22 - A uranium nucleus (mass 238 u, charge 92e) decays,...Ch. 22 - The Taser, an ostensibly nonlethal weapon used by...Ch. 22 - Using the dipole potential at points far from a...Ch. 22 - Measurements of the potential at points on the...Ch. 22 - Find an equation describing the V = 0...Ch. 22 - A thin rod of length L carries charge Q...Ch. 22 - For the rod of the preceding problem, (a) find an...Ch. 22 - A disk of radius a carries nonuniform surface...Ch. 22 - An open ended cylinder of radius a and length 2a...Ch. 22 - A line charge extends along the x-axis from L/2 to...Ch. 22 - Repeat Problem 79 for the charge distribution =...Ch. 22 - Youre sizing a new electric transmission line, and...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...
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