Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780133953145
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 26, Problem 9EAP
FIGURE EX26.9 shows a graph of V versus x in a region of space. The potential is independent of y and z. What is Ex at (a) x = —2 cm, (b) x = 0 cm, and (c) x = 2 cm?
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First two digits : 11
The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 3.2 V/m2, b = 12 V/m, and c = 14.5 V.
a. Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction.
b. What is the magnitude of the electric field, in volts per meter, at x = 1.0 m?
c. What is the magnitude of the electric field, in volts per meter, at x = 5.0 m?
Chapter 26 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (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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- At 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_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_forwardA Consider a thin rod of total charge Q and length L (Fig. P26.43). Show that the electric potential at point P, a distance x from the end of the rod, is given by V(x)=kQLln(x+Lx) FIGURE P26.43 Problems 43 and 54.arrow_forward
- An arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.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_forwardFigure P26.71 shows three charged particles arranged at the vertices of an isosceles triangle with base b = 1.00 m. What is the electric potential due to the particles at point P, which is at the midpoint of the base? FIGURE P26.71arrow_forward
- An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?arrow_forward(a) Find the potential at a distance of 1.00 cm from a proton. (b) What is the potential difference between two points that are 1.00 cm and 2.00 cm from a proton? (c) Repeat parts (a) and (b) for an electron.arrow_forwardGiven the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.arrow_forward
- The electric potential is given by V = 4x2z + 2xy2 8yz2 in a region of space, with x, y, and z in meters and V in volts. a. What are the x, y, and z components of the electric field in this region? b. What is the magnitude of the electric field at the coordinates (2.00 m, 2.00 m, 1.00 m)?arrow_forwardFind the electric potential at the origin given the arrangement of charged particles shown in Figure P26.7. FIGURE P26.7 Problems 7 and 28.arrow_forwardIn three regions of space, the electric potential is given by V(r)=0forrRV(r)=V04R2r2forRr2RV(r)=V0forr2R a. Plot V as a function of r. b. Find expressions for the electric field in all three regions. c. Plot E versus r in all three regions.arrow_forward
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