Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 23.86CP
Consider the charge distribution shown in Figure P23.85. (a) Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18keq/s2. (b) What is the direction of the electric field at the center of the top face of the cube?
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P9 E4
A square plate of copper with 50.0 cm sides has no net charge and is placed in a region of
uniform electric field of 80.0 kN/C directed perpendicularly to the plate. Find
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b) The total charge on each face.
A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis, as shown in Figure P23.35. Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has no x component and is given by E = 2ke λ sin θ0/y.
Chapter 23 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 23 - Three objects are brought close to each other, two...Ch. 23 - Three objects are brought close to one another,...Ch. 23 - Object A has a charge of +2 C, and object B has a...Ch. 23 - A test charge of +3 C is at a point P where an...Ch. 23 - Rank the magnitudes of the electric field at...Ch. 23 - A free electron and a free proton are released in...Ch. 23 - Prob. 23.2OQCh. 23 - A very small ball has a mass of 5.00 103 kg and a...Ch. 23 - An electron with a speed of 3.00 106 m/s moves...Ch. 23 - A point charge of 4.00 nC is located at (0, 1.00)...
Ch. 23 - A circular ring of charge with radius b has total...Ch. 23 - What happens when a charged insulator is placed...Ch. 23 - Estimate the magnitude of the electric field due...Ch. 23 - (i) A metallic coin is given a positive electric...Ch. 23 - Assume the charged objects in Figure OQ23.10 are...Ch. 23 - Three charged particles are arranged on corners of...Ch. 23 - Two point charges attract each other with an...Ch. 23 - Assume a uniformly charged ring of radius R and...Ch. 23 - An object with negative charge is placed in a...Ch. 23 - The magnitude of the electric force between two...Ch. 23 - (a) Would life be different if the electron were...Ch. 23 - A charged comb often attracts small bits of dry...Ch. 23 - A person is placed in a large, hollow, metallic...Ch. 23 - A student who grew up in a tropical country and is...Ch. 23 - If a suspended object A is attracted to a charged...Ch. 23 - Consider point A in Figure CQ23.6 located an...Ch. 23 - In fair weather, there is an electric field at the...Ch. 23 - Why must hospital personnel wear special...Ch. 23 - A balloon clings to a wall after it is negatively...Ch. 23 - Consider two electric dipoles in empty space. Each...Ch. 23 - A glass object receives a positive charge by...Ch. 23 - Find to three significant digits the charge and...Ch. 23 - (a) Calculate the number of electrons in a small,...Ch. 23 - Two protons in an atomic nucleus are typically...Ch. 23 - A charged particle A exerts a force of 2.62 N to...Ch. 23 - In a thundercloud, there may be electric charges...Ch. 23 - (a) Find the magnitude of the electric force...Ch. 23 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 23 - Nobel laureate Richard Feynman (19181088) once...Ch. 23 - A 7.50-nC point charge is located 1.80 m from a...Ch. 23 - (a) Two protons in a molecule are 3.80 10-10 m...Ch. 23 - Three point charges are arranged as shown in...Ch. 23 - Three point charges lie along a straight line as...Ch. 23 - Two small beads having positive charges q1 = 3q...Ch. 23 - Two small beads having charges q1 and q2 of the...Ch. 23 - Three charged panicles are located at the corners...Ch. 23 - Two small metallic spheres, each of mass m = 0.200...Ch. 23 - Review. In the Bohr theory of the hydrogen atom,...Ch. 23 - Particle A of charge 3.00 104 C is at the origin,...Ch. 23 - A point charge +2Q is at the origin and a point...Ch. 23 - Review. Two identical particles, each having...Ch. 23 - Two identical conducting small spheres are placed...Ch. 23 - Why is the following situation impossible? Two...Ch. 23 - What are the magnitude and direction of the...Ch. 23 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 23 - Four charged particles are at the corners of a...Ch. 23 - Three point charges lie along a circle of radius r...Ch. 23 - Two equal positively charged particles are at...Ch. 23 - Consider n equal positively charged particles each...Ch. 23 - In Figure P23.29, determine the point (other than...Ch. 23 - Three charged particles are at the corners of an...Ch. 23 - Three point charges are located on a circular arc...Ch. 23 - Two charged particles are located on the x axis....Ch. 23 - A small, 2.00-g plastic ball is suspended by a...Ch. 23 - Two 2.00-C point charges are located on the x...Ch. 23 - Three point charges are arranged as shown in...Ch. 23 - Consider the electric dipole shown in Figure...Ch. 23 - A rod 14.0 cm long is uniformly charged and has a...Ch. 23 - A uniformly charged disk of radius 35.0 cm carries...Ch. 23 - A uniformly charged ring of radius 10.0 cm has a...Ch. 23 - The electric field along the axis of a uniformly...Ch. 23 - Example 23.3 derives the exact expression for the...Ch. 23 - A uniformly charged rod of length L and total...Ch. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - A thin rod of length and uniform charge per unit...Ch. 23 - A uniformly charged insulating rod of length 14.0...Ch. 23 - (a) Consider a uniformly charged, thin-walled,...Ch. 23 - A negatively charged rod of finite length carries...Ch. 23 - A positively charged disk has a uniform charge per...Ch. 23 - Figure P23.49 shows the electric field lines for...Ch. 23 - Three equal positive charges q are at the corners...Ch. 23 - A proton accelerates from rest in a uniform...Ch. 23 - A proton is projected in the positive x direction...Ch. 23 - An electron and a proton are each placed at rest...Ch. 23 - Protons are projected with an initial speed vi =...Ch. 23 - The electrons in a particle beam each have a...Ch. 23 - Two horizontal metal plates, each 10.0 cm square,...Ch. 23 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 23 - Three solid plastic cylinders all have radius 2.50...Ch. 23 - Consider an infinite number of identical...Ch. 23 - A particle with charge 3.00 nC is at the origin,...Ch. 23 - A small block of mass m and charge Q is placed on...Ch. 23 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 23 - A line of charge starts at x = +x0 and extends to...Ch. 23 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 23 - A uniform electric field of magnitude 640 N/C...Ch. 23 - Two small silver spheres, each with a mass of 10.0...Ch. 23 - A charged cork ball of mass 1.00 g is suspended on...Ch. 23 - A charged cork ball of mass m is suspended on a...Ch. 23 - Three charged particles are aligned along the x...Ch. 23 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 23 - A line of positive charge is formed into a...Ch. 23 - Four identical charged particles (q = +10.0 C) are...Ch. 23 - Two small spheres hang in equilibrium at the...Ch. 23 - Why is the following situation impossible? An...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Three identical point charges, each of mass m =...Ch. 23 - Show that the maximum magnitude Emax of the...Ch. 23 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 23 - Two identical beads each have a mass m and charge...Ch. 23 - Two small spheres of mass m are suspended from...Ch. 23 - Review. A negatively charged particle q is placed...Ch. 23 - Review. A 1.00-g cork ball with charge 2.00 C is...Ch. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - Eight charged panicles, each of magnitude q, are...Ch. 23 - Consider the charge distribution shown in Figure...Ch. 23 - Review. An electric dipole in a uniform horizontal...Ch. 23 - Inez is putting up decorations for her sisters...Ch. 23 - A line of charge with uniform density 35.0 nC/m...Ch. 23 - A particle of mass m and charge q moves at high...Ch. 23 - Two particles, each with charge 52.0 nC, are...
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- A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61arrow_forwardIf the magnitude of the surface charge density of the plates in Figure P25.55 is = 99.5 nC/m2, what is the magnitude of the electric field between the plates? If an electron is placed between the plates, what is the magnitude of the electric force on it? FIGURE P25.55arrow_forwardAssume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_forward
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- A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?arrow_forwardThree identical charges (q = 5.0 C.) lie along a circle of radius 2.0 m at angles of 30, 150, and 270, as shown in Figure P15.33 (page 524). What is the resultant electric field at the center of the circle? Figure P15.33arrow_forwardA long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.arrow_forward
- A pyramid has a square base with an area of 4.00 m2 and a height of 3.5 m. Its walls are four isosceles triangles. The pyramid is in a uniform electric field of 655 N/C pointing downward (Fig. P25.13). What is the electric flux through the square base?arrow_forwardA charge q = +5.80 C is located at the center of a regular tetrahedron (a four-sided surface) as in Figure P15.48. Find (a) the total electric flux through the tetrahedron and (b) the electric flux through one face of the tetrahedron. Figure P15.48arrow_forwardFIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would produce the same electric field as that of a very large flat slab of uniform charge density = 2.00 C/m3 and thickness 2t = 5.00 cm (Fig. P25.51).arrow_forward
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