College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 15, Problem 7CQ
Positive charge Q is located at the center of a hollow,
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Positive charge Q is located at the center of a hollow, conducting spherical shell. (a) Is the induced charge Qinner on the inner surface of the shell positive or negative? Answer P for positive, or N for negative. (b) Is the induced charge Qouter on the outer surface of the shell positive or negative? Answer P, or N. (c) Determine the ratio Qinner /Q and (d) the ratio Qouter /Q .
Inside a long metal hollow thick-walled cylinder with an inner radius
R1 = 2 cm and an outer radius R2 = 5 cm, along the axis, there is a thin wire
carrying a charge with a linear densityt = 6 - 10-4µC / m. Find the distribution of
the strength E (r) along the r axis, perpendicular to the cylinder axis with the
origin on this axis.
How will the result change if the wire is displaced until it touches the inner
surface of the cylinder?
Charge is distributed uniformly along the entire y-axis with a density λy and along the positive x-axis from x = a to x = b with a density λx. What is the force between the two distributions?
Chapter 15 Solutions
College Physics
Ch. 15.1 - A suspended object A is attracted to a neutral...Ch. 15.2 - Object A has a charge of +2 C, and object B has a...Ch. 15.3 - A test charge of + 3 C is at a point P where the...Ch. 15.3 - A circular ring of charge of radius b has a total...Ch. 15.3 - A free electron and a free proton are placed in an...Ch. 15.4 - Rank the magnitudes of the electric field at...Ch. 15.8 - Calculate the magnitude of the flux of a constant...Ch. 15.8 - Suppose the electric field of Quick Quiz 15.7 is...Ch. 15.8 - Find the electric flux through the surface in...Ch. 15.8 - For a closed surface through which the net flux is...
Ch. 15 - A glass object receives a positive charge of +3 nC...Ch. 15 - The fundamental charge is e = 1.60 1019 C....Ch. 15 - Each of the following statements is related to...Ch. 15 - Two uncharged, conducting spheres are separated by...Ch. 15 - Four concentric spheres S1, S2, S3, and S4 are...Ch. 15 - IF a suspended object A is attracted to a charged...Ch. 15 - Positive charge Q is located at the center of a...Ch. 15 - Consider point A in Figure CQ15.8 located an...Ch. 15 - A student stands on a thick piece of insulating...Ch. 15 - In fair weather, there is an electric field at the...Ch. 15 - A charged comb often attracts small bits of dry...Ch. 15 - Why should a ground wire be connected to the metal...Ch. 15 - There are great similarities between electric and...Ch. 15 - A spherical surface surrounds a point charge q....Ch. 15 - If more electric field lines leave a Gaussian...Ch. 15 - A student who grew up in a tropical country and is...Ch. 15 - What happens when a charged insulator is placed...Ch. 15 - A 7.50-nC charge is located 1.80 m from a 4.20-nC...Ch. 15 - A charged particle A exerts a force of 2.62 N to...Ch. 15 - Rocket observations show that dust particles in...Ch. 15 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 15 - The nucleus of 8Be, which consists of 4 protons...Ch. 15 - A molecule of DNA (deoxyribonucleic acid) is 2.17...Ch. 15 - Two uncharged spheres are separated by 2.00 in. If...Ch. 15 - Four point charges are at the corners of a square...Ch. 15 - Two small identical conducting spheres are placed...Ch. 15 - Calculate the magnitude and direction of the...Ch. 15 - Three charges are arranged as shown in Figure...Ch. 15 - A positive charge q1 = 2.70 C on a frictionless...Ch. 15 - Three point charges are located at the corners of...Ch. 15 - Two identical metal blocks resting on a...Ch. 15 - Two small metallic spheres, each of mass m = 0.20...Ch. 15 - Panicle A of charge 3.00 104 C is at the origin,...Ch. 15 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 15 - (a) Determine the electric field strength at a...Ch. 15 - An electric field of magnitude 5.25 105 N/C...Ch. 15 - An electron is accelerated by a constant electric...Ch. 15 - Charge q1 = 1.00 nC is at x1 = 0 and charge q2 =...Ch. 15 - A small sphere of charge q = +68 C and mass m =...Ch. 15 - A proton accelerates from rest in a uniform...Ch. 15 - (a) Find the magnitude and direction of the...Ch. 15 - Four point charges are located at the corners of a...Ch. 15 - A helium nucleus of mass m = 6.64 1027 kg and...Ch. 15 - A charged dust particle at rest in a vacuum is...Ch. 15 - A particle of mass 1.00 109 kg and charge 3.00 pC...Ch. 15 - Two equal positive charges are at opposite corners...Ch. 15 - Three point charges are located on a circular are...Ch. 15 - In Figure P15.31, determine the point (other than...Ch. 15 - Three charges are at the corners of an equilateral...Ch. 15 - Three identical charges (q = 5.0 C.) lie along a...Ch. 15 - Figure P15.31 shows the electric held lines for...Ch. 15 - (a) Sketch the electric field lines around an...Ch. 15 - (a) Sketch the electric field pattern around two...Ch. 15 - Two point charges are a small distance apart. (a)...Ch. 15 - Three equal positive charges are at the corners of...Ch. 15 - Refer 10 Figure 15.20. The charge lowered into the...Ch. 15 - The dome of a Van de Graaff generator receives a...Ch. 15 - If the electric field strength in air exceeds 3.0 ...Ch. 15 - In the Millikan oil-drop experiment illustrated in...Ch. 15 - A Van de Graaff generator is charged so that a...Ch. 15 - A uniform electric field of magnitude E = 435 N/C...Ch. 15 - An electric field of intensity 3.50 kN/C is...Ch. 15 - The electric field everywhere on the surface of a...Ch. 15 - Four closed surfaces, S1 through S4, together with...Ch. 15 - A charge q = +5.80 C is located at the center of a...Ch. 15 - Figure P15.49 shows a closed cylinder with...Ch. 15 - A charge of q = 2.00 109 G is spread evenly on a...Ch. 15 - A point charge q is located at the center of a...Ch. 15 - A charge of 1.70 102 C is at the center of a cube...Ch. 15 - Suppose the conducting spherical shell of Figure...Ch. 15 - A very large nonconducting plate lying in the...Ch. 15 - In deep spare, two spheres each of radius 5.00 m...Ch. 15 - A nonconducting, thin plane sheet of charge...Ch. 15 - Three point charges are aligned along the x-axis...Ch. 15 - A small plastic ball of mass m = 2.00 g is...Ch. 15 - A proton moving at v0 = 1.50 106 m/s enters the...Ch. 15 - The electrons in a particle beam each have a...Ch. 15 - A point charge +2Q is at the origin and a point...Ch. 15 - A 1.00-g cork ball having a positive charge of...Ch. 15 - Two 2.0-g spheres are suspended by 10.0-cm-long...Ch. 15 - a point charge of magnitude 5.00 C is at the...Ch. 15 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 15 - Prob. 66APCh. 15 - A solid conducting sphere of radius 2.00 cm has a...Ch. 15 - Three identical point charges, each of mass m =...Ch. 15 - Each of the electrons in a particle beam has a...Ch. 15 - Protons are projected with an initial speed v0 = 9...
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- (a) Figure (a) shows a nonconducting rod of length L-5.20 cm and uniform linear charge density A= +5.99 pC/m. Take V = 0 at infinity. What is Vat point P at distance d = 8.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 5.99 pC/m. With V 0 at infinity, what is Vat P? L/2 L/2 –L/2 L/2- (a) (b) (a) Number Units V (b) Number Units Varrow_forward(a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ = +4.87 pC/m. Take V = 0 at infinity. What is Vat point P at distance d= 7.50 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.87 pC/m. With V=0 at infinity, what is Vat P? L/2 (a) -L/2 L/21/2- (b)arrow_forwardA uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. Write an equation for the electric field dE at point P due to the thin slice of the rod dx. Give the answer is terms of the variables Q, L, x, a, dx, and coulombs constant k. Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q = 8.5 μC and a = 1.1m.arrow_forward
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- (a) Figure (a) shows a nonconducting rod of length L = 8.00 cm and uniform linear charge density λ = +1.21 pc/m. Take V = 0 at infinity. What is V at point P at distance d = 7.40 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 1.21 pc/m. With V = 0 at infinity, what is V at P? 1/2 L/2- L/2 1/2 - (a) (b)arrow_forward(a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/2arrow_forwardThe Earth has an inwardly directed electric field that varies slightly depending on location and altitude. Make the simplifying assumption that this field is a constant 135 N/C and directed toward Earth’s center. What is the net charge, in Coulombs, on the Earth’s surface?arrow_forward
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