Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 25P
To determine
The potential difference between the point at the center of the ring and a point on its axis a distance 2R from the center.
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Principles of Physics: A Calculus-Based Text
Ch. 20.1 - In Figure 20. 1, two points and are located...Ch. 20.2 - The labeled points in Figure 20.4 are on a series...Ch. 20.3 - A spherical balloon contains a positively charged...Ch. 20.3 - In Active Figure 20.8a, take q1 to be a negative...Ch. 20.4 - In a certain region of space, the electric...Ch. 20.7 - A capacitor stores charge Q at a potential...Ch. 20.8 - Prob. 20.7QQCh. 20.9 - Prob. 20.8QQCh. 20.10 - If you have ever tried to hang a picture or a...Ch. 20 - A parallel-plate capacitor is charged and then is...
Ch. 20 - Prob. 2OQCh. 20 - A proton is released from rest at the origin in a...Ch. 20 - By what factor is the capacitance of a metal...Ch. 20 - Prob. 5OQCh. 20 - Rank the potential energies of the four systems of...Ch. 20 - Prob. 7OQCh. 20 - In a certain region of space, a uniform electric...Ch. 20 - Prob. 9OQCh. 20 - Prob. 10OQCh. 20 - Prob. 11OQCh. 20 - A parallel-plate capacitor is connected to a...Ch. 20 - Rank the electric potential energies of the...Ch. 20 - Four particles are positioned on the rim of a...Ch. 20 - Prob. 15OQCh. 20 - A filament running along the x axis from the...Ch. 20 - An electronics technician wishes to construct a...Ch. 20 - Prob. 18OQCh. 20 - Prob. 19OQCh. 20 - A parallel-plate capacitor filled with air carries...Ch. 20 - Prob. 21OQCh. 20 - Prob. 1CQCh. 20 - Prob. 2CQCh. 20 - Prob. 3CQCh. 20 - Prob. 4CQCh. 20 - Prob. 5CQCh. 20 - Prob. 6CQCh. 20 - Prob. 7CQCh. 20 - Prob. 8CQCh. 20 - Why is it dangerous to touch the terminals of a...Ch. 20 - Prob. 10CQCh. 20 - Prob. 11CQCh. 20 - Prob. 12CQCh. 20 - A uniform electric field of magnitude 325 V/m is...Ch. 20 - Prob. 2PCh. 20 - Calculate the speed of a proton that is...Ch. 20 - Prob. 4PCh. 20 - An electron moving parallel to the x axis has an...Ch. 20 - (a) Find the potential at a distance of 1.00 cm...Ch. 20 - Prob. 8PCh. 20 - Given two particles with 2.00-C charges as shown...Ch. 20 - Three particles with equal positive charges q are...Ch. 20 - The three charged particles in Figure P20.11 are...Ch. 20 - Prob. 12PCh. 20 - Prob. 13PCh. 20 - Review. A light, unstressed spring has length d....Ch. 20 - Review. Two insulating spheres have radii 0.300 cm...Ch. 20 - Review. Two insulating spheres have radii r1 and...Ch. 20 - Two particles each with charge +2.00 C are located...Ch. 20 - Prob. 18PCh. 20 - Two particles, with charges of 20.0 nC and 20.0...Ch. 20 - At a certain distance from a charged particle, the...Ch. 20 - A particle with charge +q is at the origin. A...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - A rod of length L (Fig. P20.26) lies along the x...Ch. 20 - For the arrangement described in Problem 26,...Ch. 20 - A wire having a uniform linear charge density is...Ch. 20 - A uniformly charged insulating rod of length 14.0...Ch. 20 - How many electrons should be removed from an...Ch. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - (a) How much charge is on each plate of a 4.00-F...Ch. 20 - Two conductors having net charges of +10.0 C and...Ch. 20 - Prob. 35PCh. 20 - A spherical capacitor consists of a spherical...Ch. 20 - Prob. 37PCh. 20 - A variable air capacitor used in a radio tuning...Ch. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - (a) Regarding the Earth and a cloud layer 800 m...Ch. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - (a) Find the equivalent capacitance between points...Ch. 20 - Four capacitors are connected as shown in Figure...Ch. 20 - Prob. 46PCh. 20 - According to its design specification, the timer...Ch. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Three capacitors are connected to a battery as...Ch. 20 - Find the equivalent capacitance between points a...Ch. 20 - Consider the circuit shown in Figure P20.52, where...Ch. 20 - Prob. 53PCh. 20 - A parallel-plate capacitor has a charge Q and...Ch. 20 - Prob. 55PCh. 20 - Prob. 56PCh. 20 - Prob. 57PCh. 20 - Prob. 58PCh. 20 - Prob. 59PCh. 20 - Prob. 60PCh. 20 - A uniform electric field E = 3 000 V/m exists...Ch. 20 - Prob. 62PCh. 20 - Prob. 63PCh. 20 - Prob. 64PCh. 20 - Prob. 65PCh. 20 - A parallel-plate capacitor in air has a plate...Ch. 20 - Lightning can be studied with a Van de Graaff...Ch. 20 - Prob. 68PCh. 20 - Prob. 69PCh. 20 - Prob. 70PCh. 20 - Prob. 71PCh. 20 - Prob. 72PCh. 20 - Prob. 73PCh. 20 - Prob. 74PCh. 20 - Prob. 75PCh. 20 - Prob. 76PCh. 20 - Prob. 77PCh. 20 - Prob. 78PCh. 20 - Prob. 79PCh. 20 - Prob. 80PCh. 20 - Prob. 81PCh. 20 - Prob. 82PCh. 20 - A 10.0-F capacitor is charged to 15.0 V. It is...Ch. 20 - Two large, parallel metal plates, each of area A,...Ch. 20 - A capacitor is constructed from two square,...Ch. 20 - Two square plates of sides are placed parallel to...Ch. 20 - Determine the equivalent capacitance of the...
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- A particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?arrow_forwardA point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.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
- 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?arrow_forwardFrom Gauss's law, the electric field set up by a uniform line of charge is E=(20r)r where r is a unit vector pointing radially away from the line and is the linear charge density along the line. Derive an expression for the potential difference between r = r1, and r = r2.arrow_forwardA CD disk of radius (R = 3.0 cm) is sprayed with a charged paint so that the charge varies continually with radial distance r from the center in the following manner =(6.0C/m)r/R ?. Find the potential at a point 4 cm above the center.arrow_forward
- How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?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_forwardThe three charged particles in Figure P25.22 are at the vertices of an isosceles triangle (where d = 2.00 cm). Taking q = 7.00 C, calculate the electric potential at point A, the midpoint of the base.arrow_forward
- Problems 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_forwardA disk of radius R (Fig. P24.49) has a nonuniform surface charge density = Cr, where C is a constant and r is measured from the center of the disk to a point on the surface of the disk. Find (by direct integration) the electric potential at P. Figure P24.49arrow_forwardA proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.arrow_forward
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