Physics for Scientists and Engineers
9th Edition
ISBN: 9781133947271
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 24.51AP
A sphere of radius R = 1.00 m surrounds a particle with charge Q = 50.0 μC located at its center as shown in Figure P23.43. Find the electric flux through a circular cap of half-angle θ = 45.0°.
Figure P23.43
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In general it is best to conceptualize vectors as arrows in
space, and then to make calculations with them using
their components. (You must first specify a coordinate
system in order to find the components of each arrow.)
This problem gives you some practice with the
components.
Let vectors A = (1,0, -3), B = (-2, 5, 1), and
C = (3,1,1). Calculate the following, and express your
answers as ordered triplets of values separated by
commas.
In general it is best to conceptualize vectors as arrows in
space, and then to make calculations with them using
their components. (You must first specify a coordinate
system in order to find the components of each arrow.)
This problem gives you some practice with the
components.
Let vectors A = (1,0, −3), B = (-2, 5, 1), and
C = (3,1,1). Calculate the following, and express your
answers as ordered triplets of values separated by
commas.
Only Part C.) is necessary
Chapter 24 Solutions
Physics for Scientists and Engineers
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Ch. 24 - A solid insulating sphere of radius 5 cm carries...Ch. 24 - A cubical gaussian surface is bisected by a large...Ch. 24 - Rank the electric fluxes through each gaussian...Ch. 24 - Consider an electric field that is uniform in...Ch. 24 - A cubical surface surrounds a point charge q...Ch. 24 - A uniform electric field exists in a region of...Ch. 24 - If the total charge inside a closed surface is...Ch. 24 - Explain why the electric flux through a closed...Ch. 24 - If more electric field lines leave a gaussian...Ch. 24 - A person is placed in a large, hollow, metallic...Ch. 24 - Consider two identical conducting spheres whose...Ch. 24 - A common demonstration involves charging a rubber...Ch. 24 - On the basis of the repulsive nature of the force...Ch. 24 - The Sun is lower in the sky during the winter than...Ch. 24 - A flat surface of area 3.20 m2 is rotated in a...Ch. 24 - A vertical electric field of magnitude 2.00 104...Ch. 24 - A 40.0-cm-diameter circular loop is rotated in a...Ch. 24 - Consider a closed triangular box resting within a...Ch. 24 - An electric field of magnitude 3.50 kN/C is...Ch. 24 - A nonuniform electric field is given by the...Ch. 24 - An uncharged, nonconducting, hollow sphere of...Ch. 24 - Find the net electric flux through the spherical...Ch. 24 - The following charges are located inside a...Ch. 24 - The electric field everywhere on the surface of a...Ch. 24 - Four closed surfaces, S1 through S4 together with...Ch. 24 - A charge of 170 C is at the center of a cube of...Ch. 24 - In the air over a particular region at an altitude...Ch. 24 - A particle with charge of 12.0 C is placed at the...Ch. 24 - (a) Find the net electric flux through the cube...Ch. 24 - (a) A panicle with charge q is located a distance...Ch. 24 - An infinitely long line charge having a uniform...Ch. 24 - Find the net electric flux through (a) the closed...Ch. 24 - A particle with charge Q = 5.00 C is located at...Ch. 24 - A particle with charge Q is located at the center...Ch. 24 - A particle with charge Q is located a small...Ch. 24 - Figure P23.23 represents the top view of a cubic...Ch. 24 - In nuclear fission, a nucleus of uranium-238,...Ch. 24 - The charge per unit length on a long, straight...Ch. 24 - A 10.0-g piece of Styrofoam carries a net charge...Ch. 24 - Determine the magnitude of the electric field at...Ch. 24 - A large, flat, horizontal sheet of charge has a...Ch. 24 - Suppose you fill two rubber balloons with air,...Ch. 24 - Consider a thin, spherical shell of radius 14.0 cm...Ch. 24 - A nonconducting wall carries charge with a uniform...Ch. 24 - A uniformly charged, straight filament 7.00 m in...Ch. 24 - Assume the magnitude of the electric field on each...Ch. 24 - Consider a long, cylindrical charge distribution...Ch. 24 - A cylindrical shell of radius 7.00 cm and length...Ch. 24 - A solid sphere of radius 40.0 cm has a total...Ch. 24 - Review. A particle with a charge of 60.0 nC is...Ch. 24 - A long, straight metal rod has a radius of 5.00 cm...Ch. 24 - Why is the following situation impossible? A solid...Ch. 24 - A solid metallic sphere of radius a carries total...Ch. 24 - A positively charged panicle is at a distance R/2...Ch. 24 - A very large, thin, flat plate of aluminum of area...Ch. 24 - In a certain region of space, the electric field...Ch. 24 - Two identical conducting spheres each having a...Ch. 24 - A square plate of copper with 50.0-cm sides has no...Ch. 24 - A long, straight wire is surrounded by a hollow...Ch. 24 - A thin, square, conducting plate 50.0 cm on a side...Ch. 24 - A solid conducting sphere of radius 2.00 cm has a...Ch. 24 - Consider a plane surface in a uniform electric...Ch. 24 - Find the electric flux through the plane surface...Ch. 24 - A hollow, metallic, spherical shell has exterior...Ch. 24 - A sphere of radius R = 1.00 m surrounds a particle...Ch. 24 - A sphere of radius R surrounds a particle with...Ch. 24 - A very large conducting plate lying in the xy...Ch. 24 - A solid, insulating sphere of radius a has a...Ch. 24 - A solid insulating sphere of radius a = 5.00 cm...Ch. 24 - Two infinite, nonconducting sheets of charge are...Ch. 24 - For the configuration shown in Figure P24.45,...Ch. 24 - An insulating solid sphere of radius a has a...Ch. 24 - A uniformly charged spherical shell with positive...Ch. 24 - An insulating solid sphere of radius a has a...Ch. 24 - A slab of insulating material has a nonuniform...Ch. 24 - Prob. 24.62CPCh. 24 - A dosed surface with dimensions a = b= 0.400 111...Ch. 24 - A sphere of radius 2a is made of a nonconducting...Ch. 24 - A spherically symmetric charge distribution has a...Ch. 24 - A solid insulating sphere of radius R has a...Ch. 24 - An infinitely long insulating cylinder of radius R...Ch. 24 - A particle with charge Q is located on the axis of...Ch. 24 - Review. A slab of insulating material (infinite in...
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- Only Part B.) is necessaryarrow_forwardA (3.60 m) 30.0°- 70.0° x B (2.40 m)arrow_forwardIn general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forward
- fine the magnitude of the vector product express in sq meters what direction is the vector product in -z or +zarrow_forward4) Three point charges of magnitude Q1 = +2.0 μC, Q2 = +3.0 μС, Q3 = = +4.0 μС are located at the corners of a triangle as shown in the figure below. Assume d = 20 cm. (a) Find the resultant force vector acting on Q3. (b) Find the magnitude and direction of the force. d Q3 60° d Q1 60° 60° Q2 darrow_forwardThree point charges of magnitudes Q₁ = +6.0 μС, Q₂ = −7.0 μС, Qз = −13.0 μC are placed on the x-axis at x = 0 cm, x = 40 cm, and x = 120 cm, respectively. What is the force on the Q3 due to the other two charges?arrow_forward
- Two point charges of +30.0 μС and -9.00 μC are separated by a distance of 20.0 cm. What is the intensity of electric field E midway between these two charges?arrow_forwardTwo point charges of +7.00 μС and +10.0 μС are placed inside a cube of edge length 0.100 m. What is the net electric flux due to these charges?arrow_forwardA conducting hollow sphere has a charge density of σ = 12.2 μC/m². If the sphere has a radius of 25 cm, what net charge is on the sphere?arrow_forward
- 9) Consider an electric field right Ĕ = 21+3ĵ. What is the magnitude of the flux of this field through a 4.0 m² square surface whose corners are located at (x,y,z) = (0, 2, 1), (2, 2, 1), (2, 2, −1), (0, 2, −1)? Ꮓ ту x (0,2,1) Surface 2 Surface (2,2,1) y Ē (0,2,-1) (2,2,-1) 2 xarrow_forwardNo chatgpt pls will upvotearrow_forward2 聯梧桐紀 PAGENIN ERA 5 7 DOG FAMILY puppies C01: Physical Quantities, Units and Measurements 4 A student wanted to measure the diameter of a cylindrical water bottle. Which of the following gives the most accurate measurement? A B CD Take three measurements of the diameter using a rule before finding the average. Take three measurements of the diameter using a digital micrometer screw gauge, resetting to zero before every measurement before finding the average. Take three measurements of the diameter using the digital calipers, resetting to zero before every measurement before finding the average. Take three measurements of the diameter using the digital calipers without resetting to zero before every measurement before finding the average. The resultant force FR acting on an object is given by, FR = ma, where m is the mass of the object in kg and a is the acceleration of the object in m/s². Which unit is equivalent to the unit for force? A B с D kg ms² kg m²s kg m/s² kg m²/s² adt to…arrow_forward
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