Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 26, Problem 40EAP
An infinitely long cylinder of radius R has linear charge density
the electric field outside the cylinder is
potential relative to the surface at a point that is distance r from
the axis, assuming r >R.
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Chapter 26 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 26 - l. FIGURE Q26.1 shows the x-component of E as a...Ch. 26 - Prob. 2CQCh. 26 - a. Suppose that E =0 V/m throughout some region of...Ch. 26 - Estimate the electric fields and at points 1 and 2...Ch. 26 - Estimate the electric fields and E2 t points 1 and...Ch. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - FIGURE Q26.8 shows a negatively charged...Ch. 26 - Prob. 9CQCh. 26 - FIGURE Q26.10 shows a 3 V battery with metal wires...
Ch. 26 - The parallel-plate capacitor in FIGURE Q26.11 is...Ch. 26 - Rank in order, from largest to smallest, the...Ch. 26 - I. What is the potential difference between xi= 10...Ch. 26 - Il What is the potential difference between yi= —5...Ch. 26 - Il FIGURE EX26.3 is a graph of Ex. What is the...Ch. 26 - Il FIGURE EX26.4 is a graph of Ex The potential at...Ch. 26 - Prob. 5EAPCh. 26 - Prob. 6EAPCh. 26 - Prob. 7EAPCh. 26 - I What are the magnitude and direction of the...Ch. 26 - FIGURE EX26.9 shows a graph of V versus x in a...Ch. 26 - Prob. 10EAPCh. 26 - Prob. 11EAPCh. 26 - FIGURE EX26.12 is a graph of V versus x. Draw the...Ch. 26 - Prob. 13EAPCh. 26 - Prob. 14EAPCh. 26 - Prob. 15EAPCh. 26 - Prob. 16EAPCh. 26 - How much work does the charge escalator do to move...Ch. 26 - How much charge does a 9.0 V battery transfer from...Ch. 26 - How much work does the electric motor of a Van de...Ch. 26 - Prob. 20EAPCh. 26 - Two 3.0cm diameter aluminum electrodes are spaced...Ch. 26 - What is the capacitance of the two metal spheres...Ch. 26 - Prob. 23EAPCh. 26 - Prob. 24EAPCh. 26 - 25. A capacitor, a capacitor, and a capacitor
...Ch. 26 - Prob. 26EAPCh. 26 - What is the equivalent capacitance of the three...Ch. 26 - What is the equivalent capacitance of the three...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - To what potential should you charge a 1.0F...Ch. 26 - 50pJ of energy is stored in a 2.0cm2.0cm2.0cm...Ch. 26 - A 2.0-cm-diameter parallel-plate capacitor with a...Ch. 26 - The capacitor in a defibrillator unit supplies an...Ch. 26 - Prob. 35EAPCh. 26 - Prob. 36EAPCh. 26 - A typical cell has a layer of negative charge on...Ch. 26 - The electric field in a region of space is...Ch. 26 - Ill The electric field in a region of space is...Ch. 26 - An infinitely long cylinder of radius R has linear...Ch. 26 - Prob. 41EAPCh. 26 - Prob. 42EAPCh. 26 - a. Use the methods of Chapter 25 to find the...Ch. 26 - Prob. 44EAPCh. 26 - Engineers discover that the electric potential...Ch. 26 - The electric potential in a region of space is...Ch. 26 - Prob. 47EAPCh. 26 - Prob. 48EAPCh. 26 - Prob. 49EAPCh. 26 - Prob. 50EAPCh. 26 - Prob. 51EAPCh. 26 - Prob. 52EAPCh. 26 - Prob. 53EAPCh. 26 - Two 2.0 cm × 2.0 cm metal electrodes are spaced...Ch. 26 - Find expressions for the equivalent capacitance of...Ch. 26 - What are the charge on and the potential...Ch. 26 - What are the charge on and the potential...Ch. 26 - Prob. 58EAPCh. 26 - Prob. 59EAPCh. 26 - Six identical capacitors with capacitance C are...Ch. 26 - Prob. 61EAPCh. 26 - A battery with an emf of 60 V is connected to the...Ch. 26 - Prob. 63EAPCh. 26 - Prob. 64EAPCh. 26 - Prob. 65EAPCh. 26 - Prob. 66EAPCh. 26 - Prob. 67EAPCh. 26 - Prob. 68EAPCh. 26 - Prob. 69EAPCh. 26 - Prob. 70EAPCh. 26 - Prob. 71EAPCh. 26 - Prob. 72EAPCh. 26 - Prob. 73EAPCh. 26 - Prob. 74EAPCh. 26 - In Problems 75 through 77 you are given the...Ch. 26 - Prob. 76EAPCh. 26 - Prob. 77EAPCh. 26 -
78. Two 5.0-cm-diameter metal disks separated by...Ch. 26 - Prob. 79EAPCh. 26 - Charge is uniformly distributed with charge...Ch. 26 - Consider a uniformly charged sphere of radius R...Ch. 26 - Prob. 82EAPCh. 26 - Prob. 83EAP
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- A metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?arrow_forwardThe charge density on a disk of radius R = 12.0 cm is given by = ar, with a = 1.40 C/m3 and r measured radially outward from the origin (Fig. P26.45). What is the electric potential at point A, a distance of 40.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration.arrow_forwardA small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?arrow_forward
- Two large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere, (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?arrow_forwardHow 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_forwardA filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm, carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?arrow_forward
- The surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.arrow_forwardA filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm. carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?arrow_forwardFigure P26.44 shows a rod of length = 1.00 m aligned with the y axis and oriented so that its lower end is at the origin. The charge density on the rod is given by = a + by, with a = 2.00 C/m2 and b = 1.00 C /m2. What is the electric potential at point P with coordinates (0, 25.0 cm)? A table of integrals will aid you in solving this problem.arrow_forward
- A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder, (b) Find the electric potential inside and outside the cylinder, (c) Plot electric field and electric potential as a function of distance from the center of the rod.arrow_forward(a) Find x L limit of the potential of a finite uniformly charged rod and show that it coincides with that of a point charge formula, (b) Why would you expect this result?arrow_forwardAt a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?arrow_forward
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