EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 25, Problem 25.42P
It is shown in Example 24.7 that the potential at a point P a distance a above one end of a uniformly charged rod of length ℓ lying along the x axis is
Use this result to derive an expression for the y component of the electric field at P.
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Chapter 25 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 25 - In Figure 24.1, two points and are located...Ch. 25 - The labeled points in Figure 24.4 are on a series...Ch. 25 - In Figure 24.8b, take q2, to be a negative source...Ch. 25 - In a certain region of space, the electric...Ch. 25 - In a certain region of space, the electric field...Ch. 25 - Consider the equipotential surfaces shown in...Ch. 25 - (i) A metallic sphere A of radius 1.00 cm is...Ch. 25 - The electric potential at x = 3.00 m is 120 V, and...Ch. 25 - Rank the potential energies of the lour systems of...Ch. 25 - In a certain region of space, a uniform electric...
Ch. 25 - Rank the electric potentials at the four points...Ch. 25 - An electron in an x-ray machine is accelerated...Ch. 25 - Rank the electric potential energies of the...Ch. 25 - Four particles are positioned on the rim of a...Ch. 25 - A proton is released from rest at the origin in a...Ch. 25 - A particle with charge -40.0 nC is on the x axis...Ch. 25 - A filament running along the x axis from the...Ch. 25 - In different experimental trials, an electron, a...Ch. 25 - A helium nucleus (charge = 2e. mass = 6.63 ...Ch. 25 - What determines the maximum electric potential to...Ch. 25 - Describe the motion of a proton (a) after it is...Ch. 25 - When charged particles are separated by an...Ch. 25 - Study Figure 23.3 and the accompanying text...Ch. 25 - Distinguish between electric potential and...Ch. 25 - Describe the equipotential surfaces for (a) an...Ch. 25 - Oppositely charged parallel plates are separated...Ch. 25 - A uniform electric field of magnitude 250 V/m is...Ch. 25 - (a) Calculate the speed of a proton that is...Ch. 25 - How much work is done (by a battery, generator, or...Ch. 25 - A uniform electric field of magnitude 325 V/m is...Ch. 25 - Starting with the definition of work, prove that...Ch. 25 - An electron moving parallel to the x axis has an...Ch. 25 - (a) Find the electric potential difference Ve...Ch. 25 - A particle having charge q = +2.00 C and mass m =...Ch. 25 - Review. A block having mass m and charge + Q is...Ch. 25 - An insulating rod having linear charge density =...Ch. 25 - (a) Calculate the electric potential 0.250 cm from...Ch. 25 - Two point charges are on the y axis. A 4.50-C...Ch. 25 - The two charges in Figure P25.14 are separated by...Ch. 25 - Three positive charges are located at the corners...Ch. 25 - Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC...Ch. 25 - Two particles, with charges of 20.0 11C and -20.0...Ch. 25 - The two charges in Figure P24.12 are separated by...Ch. 25 - Given two particles with 2.00-C charges as shown...Ch. 25 - At a certain distance from a charged particle, the...Ch. 25 - Four point charges each having charge Q are...Ch. 25 - The three charged particles in Figure P25.22 are...Ch. 25 - A particle with charge +q is at the origin. A...Ch. 25 - Show that the amount of work required to assemble...Ch. 25 - Two particles each with charge +2.00 C are located...Ch. 25 - Two charged particles of equal magnitude are...Ch. 25 - Four identical charged particles (q = +10.0 C) are...Ch. 25 - Three particles with equal positive charges q are...Ch. 25 - Five particles with equal negative charges q are...Ch. 25 - Review. A light, unstressed spring has length d....Ch. 25 - Review. Two insulating spheres have radii 0.300 cm...Ch. 25 - Review. Two insulating spheres have radii r1 and...Ch. 25 - How much work is required to assemble eight...Ch. 25 - Four identical particles, each having charge q and...Ch. 25 - In 1911, Ernest Rutherford and his assistants...Ch. 25 - Figure P24.22 represents a graph of the electric...Ch. 25 - The potential in a region between x = 0 and x =...Ch. 25 - An electric field in a region of space is parallel...Ch. 25 - Over a certain region of space, the electric...Ch. 25 - Figure P24.23 shows several equipotential lines,...Ch. 25 - The electric potential inside a charged spherical...Ch. 25 - It is shown in Example 24.7 that the potential at...Ch. 25 - Consider a ring of radius R with the total charge...Ch. 25 - A uniformly charged insulating rod of length 14.0...Ch. 25 - A rod of length L (Fig. P24.25) lies along the x...Ch. 25 - For the arrangement described in Problem 25,...Ch. 25 - A wire having a uniform linear charge density is...Ch. 25 - The electric field magnitude on the surface of an...Ch. 25 - How many electrons should be removed from an...Ch. 25 - A spherical conductor has a radius of 14.0 cm and...Ch. 25 - Electric charge can accumulate on an airplane in...Ch. 25 - Lightning can be studied with a Van de Graaff...Ch. 25 - Why is the following situation impossible? In the...Ch. 25 - Review. In fair weather, the electric field in the...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - The liquid-drop model of the atomic nucleus...Ch. 25 - On a dry winter day, you scuff your leather-soled...Ch. 25 - The electric potential immediately outside a...Ch. 25 - (a) Use the exact result from Example 24.4 to find...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - The electric potential everywhere on the xy plane...Ch. 25 - Why is the following situation impossible? You set...Ch. 25 - From Gauss's law, the electric field set up by a...Ch. 25 - A uniformly charged filament lies along the x axis...Ch. 25 - The thin, uniformly charged rod shown in Figure...Ch. 25 - A GeigerMueller tube is a radiation detector that...Ch. 25 - Review. Two parallel plates having charges of...Ch. 25 - When an uncharged conducting sphere of radius a is...Ch. 25 - An electric dipole is located along the y axis as...Ch. 25 - A solid sphere of radius R has a uniform charge...Ch. 25 - A disk of radius R (Fig. P24.49) has a nonuniform...Ch. 25 - Four balls, each with mass m, are connected by...Ch. 25 - (a) A uniformly charged cylindrical shell with no...Ch. 25 - As shown in Figure P25.76, two large, parallel,...Ch. 25 - A particle with charge q is located at x = R, and...
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- Two 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.arrow_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?arrow_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.arrow_forward
- (a) A uniformly charged cylindrical shell with no end caps has total charge Q, radius R, and length h. Determine the electric potential at a point a distance d from the right end of the cylinder as shown in Figure P24.51. Suggestion: Use the result of Example 24.5 by treating the cylinder as a collection of ring charges. (b) What If? Use the result of Example 24.6 to solve the same problem for a solid cylinder. Figure P24.51arrow_forwardFIGURE P26.14 Problems 14, 15, and 16. Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite?arrow_forwardProblems 72, 73, and 74 are grouped. 72. A Figure P26.72 shows a source consisting of two identical parallel disks of radius R. The x axis runs through the center of each disk. Each disk carries an excess charge uniformly distributed on its surface. The disk on the left has a total positive charge Q, and the disk on the right has a total negative charge Q. The distance between the disks is 3R, and point A is 2R from the positively charged disk. Find an expression for the electric potential at point A between the disks on the x axis. Approximate any square roots to three significant figures. FIGURE P26.72 Problems 72, 73, and 74.arrow_forward
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- A proton is released from rest at the origin in a uniform electric field in the positive x direction with magnitude 850 N/C. What is the change in the electric potential energy of the protonfield system when the proton travels to x = 2.50 m? (a) 3.40 1016 J (b) 3.40 1016 J (c) 2.50 1016 J (d) 2.50 1016 J (e) 1.60 1019 Jarrow_forwardA thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?arrow_forwardTwo charged particles with q1 = 5.00 C and q2 = 3.00 C are placed at two vertices of an equilateral tetrahedron whose edges all have length s = 4.20 m (Fig. P26.37). Determine what charge q3 should be placed at the third vertex so that the total electric potential at the fourth vertex is 2.00 kV. FIGURE P26.37arrow_forward
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