Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 22, Problem 52P
Two identical charges q lie on the x-axis at ± a. (a) Find an expression for the potential at all points in the x-y plane, (b) Show that your result reduces to the potential of a point charge for distances large compared with a.
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Chapter 22 Solutions
Essential University Physics (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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