Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
4th Edition
ISBN: 9780134564234
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 23, Problem 67EAP
A rod of length L lies along the y-axis with its center at the origin. The rod has a nonuniform linear charge density
a. Draw a graph of
b. Determine the constant a in terms of L and the rod's total charge Q.
c. Find the electric field strength of the rod at distance x on the x-axis.
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A charged rod is placed on the x-axis between
x = d and x = d + L. Its charge density is not
uniform, and is given by 1 = cx, where c is a
positive constant.
a. What are the Sl units of c?
b. Calculate the total charge of the rod (hint:
Q =/dg).
c. Calculate the electric field at x = 0.
d. Suppose L = 2d. If the rod is replaced by a
point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same
electric field at x = 0 as for the rod.
e. A proton is placed at x = 0 and is released
from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
A pair of parallel conducting plates are given charges of equal magnitude but opposite sign to create a uniform electric field with magnitude 38 N/C. A rectangular surface with dimensions 4.2cm×1.2cm is located in the gap between the parallel plates.
a. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if it is parallel to the charged plates?
b. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if it is perpendicular to the charged plates?
c. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if the angle between its normal and the electric field is 25∘?
8.
A small thin plastic rod of length L lies along the x-axis from x = 0 to x = L and has a
charge distribution described by the expression
λ(x)=
where x is measured in meters and a > 0.
a. What are the SI units of a?
= ax
b. Determine the total charge Q on the rod.
c. Determine an expression for the magnitude and direction of the electric field at
point P, which is on the x-axis at a distance x = 2L from the origin.
Extra Credit (5 pts): An infinite plane of surface charge to is placed closely
underneath the rod. Determine an expression for the mass of the rod that will
cause the rod to levitate above the plane. Your answer should include: a, L, σ, &o,
and g.
Chapter 23 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
Ch. 23 - l. You've been assigned the task of determining...Ch. 23 - Reproduce FIGURE Q23.2 on your paper. For each...Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A small segment of wire in FIGURE Q23.4 contains...Ch. 23 - An electron experiences a force of magnitude F...Ch. 23 - FIGURE Q23.6 shows a hollow soda straw that has...Ch. 23 - The irregularly shaped area of charge in FIGURE...Ch. 23 - A circular disk has surface charge density 8...Ch. 23 - A sphere of radius R has charge Q . The electric...Ch. 23 - The ball in FIGURE Q23.10 is suspended from a...
Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A parallel-plate capacitor consists of two square...Ch. 23 - A small object is released at point 3 in the...Ch. 23 - A proton and an electron are released from rest in...Ch. 23 - Three charges are placed at the comers of the...Ch. 23 - l. What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - An electric dipole is formed from two charges, q ,...Ch. 23 - An electric dipole is formed from ± 1.0 nC charges...Ch. 23 - An electret is similar to a magnet, but rather...Ch. 23 - The electric field strength 10.0 cm from a very...Ch. 23 - A 10-cm-long thin glass rod uniformly charged to...Ch. 23 - Two 10-cm-long thin glass rods uniformly charged...Ch. 23 - A small glass bead charged to + 6.0 nC is in the...Ch. 23 - The electric field 5.0 cm from a very long charged...Ch. 23 - A 12-cm-long thin rod has the nonuniform charge...Ch. 23 - Two charged rings face each other, 20 cm apart....Ch. 23 - Two 10-cm-diameter charged rings face each other,...Ch. 23 - Two charged disks face each other, 20 cm apart....Ch. 23 - The electric field strength 2.0 cm from the...Ch. 23 - A 20cm20cm cm horizontal metal electrode is...Ch. 23 - Two 2.0-cm-diameter insulating spheres have a 6.0...Ch. 23 - You've hung two very large sheets of plastic...Ch. 23 - A 2.0m X 4.0m flat carpet acquires a uniformly...Ch. 23 - Two circular disks spaced 0.50 mm apart form a...Ch. 23 - A parallel-plate capacitor is formed from two...Ch. 23 - Air "breaks down" when the electric field strength...Ch. 23 - Two parallel plates 1.0 cm apart are equally and...Ch. 23 - a. What is the electric field strength between the...Ch. 23 - Honeybees acquire a charge while flying due to...Ch. 23 - An electron traveling parallel to a uniform...Ch. 23 - The surface charge density on an infinite charged...Ch. 23 - An electron in a vacuum chamber is fired with a...Ch. 23 - A 1.0m -diameter oil droplet (density 900 kg/m3)...Ch. 23 - The permanent electric dipole moment of the water...Ch. 23 - A point charge Q is distance r from a dipole...Ch. 23 - An ammonia molecule (NH3) has a permanent electric...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - Prob. 38EAPCh. 23 - Prob. 39EAPCh. 23 - Derive Equation 23.11 for the field Edipolein the...Ch. 23 - FIGURE P23.41 is a cross section of two infinite...Ch. 23 - FIGURE P23.42 is a cross section of two infinite...Ch. 23 - Prob. 43EAPCh. 23 - Prob. 44EAPCh. 23 - Prob. 45EAPCh. 23 - Prob. 46EAPCh. 23 - Prob. 47EAPCh. 23 - A plastic rod with linear charge density ? is bent...Ch. 23 - An infinite plane of charge with surface charge...Ch. 23 - A sphere of radius R and surface charge density ?...Ch. 23 - Prob. 51EAPCh. 23 - An electron is launched at a 45 angle and a speed...Ch. 23 - The two parallel plates in FIGURE P23.53 are 2.0...Ch. 23 - Prob. 54EAPCh. 23 - Prob. 55EAPCh. 23 - 56. Your physics assignment is to figure out a way...Ch. 23 - Prob. 57EAPCh. 23 - Prob. 58EAPCh. 23 - Prob. 59EAPCh. 23 - Prob. 60EAPCh. 23 - Prob. 61EAPCh. 23 - Prob. 62EAPCh. 23 - In Problems 63 through 66 you are given the...Ch. 23 - Prob. 64EAPCh. 23 - Prob. 65EAPCh. 23 - Prob. 66EAPCh. 23 - A rod of length L lies along the y-axis with its...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - Prob. 70EAPCh. 23 - Prob. 71EAPCh. 23 - 72. A proton orbits a long charged wire, making ...Ch. 23 - Prob. 73EAP
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