Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 25, Problem 50PQ
To determine
The sketch of the electric field in the region between the two sheets.
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1
An infinite slab of charge of thickness 2z, lies in the xy-plane between z
= -Zo and z = +zo. The charge density po(C/m³) is a constant.
a. Use Gauss's law to find an expression for the electric field strength
inside the slab(-zo< zS +zo).
b. Find an expression for the electric field strength above the slab
(zs +zo).
6.
In the xy plane is a thin square conducting plate of side 50 cm. The plate is charged with a total
charge of 4x10-8 C. Find
A) the charge density on each side of the plate (top and bottom plate surface),
B) the electric field just above the plate (at a distance from the plate much smaller than the plate
dimensions), and
C) the electric field just below the plate. You can consider that the charge density is everywhere
uniform.
Chapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 25.1 - a. List all the uppercase letters that have the...Ch. 25.2 - The terms electric force, electric field, and...Ch. 25.2 - Prob. 25.3CECh. 25.3 - Which of the following expressions are correct...Ch. 25.3 - Find the electric flux through the three Gaussian...Ch. 25.4 - Prob. 25.6CECh. 25.7 - Is it possible for the charged solid sphere in...Ch. 25 - Which word or name has the same symmetry as the...Ch. 25 - Prob. 2PQCh. 25 - Prob. 3PQ
Ch. 25 - Prob. 4PQCh. 25 - Prob. 5PQCh. 25 - Prob. 6PQCh. 25 - A positively charged sphere and a negatively...Ch. 25 - A circular hoop of radius 0.50 m is immersed in a...Ch. 25 - Prob. 9PQCh. 25 - If the hemisphere (surface C) in Figure 25.10...Ch. 25 - A Ping-Pong paddle with surface area 3.80 102 m2...Ch. 25 - Prob. 12PQCh. 25 - A pyramid has a square base with an area of 4.00...Ch. 25 - Prob. 14PQCh. 25 - Prob. 15PQCh. 25 - A circular loop with radius r is rotating with...Ch. 25 - A circular loop with radius r is rotating with...Ch. 25 - Prob. 18PQCh. 25 - What is the net electric flux through each of the...Ch. 25 - Prob. 20PQCh. 25 - The colored regions in Figure P25.21 represent...Ch. 25 - Prob. 22PQCh. 25 - Prob. 23PQCh. 25 - Three particles and three Gaussian surfaces are...Ch. 25 - A Using Gausss law, find the electric flux through...Ch. 25 - Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and...Ch. 25 - Prob. 27PQCh. 25 - A very long, thin wire fixed along the x axis has...Ch. 25 - Figure P25.29 shows a wry long tube of inner...Ch. 25 - Two very long, thin, charged rods lie in the same...Ch. 25 - Prob. 31PQCh. 25 - Two long, thin rods each have linear charge...Ch. 25 - Figure P25.33 shows a very long, thick rod with...Ch. 25 - A very long line of charge with a linear charge...Ch. 25 - Two infinitely long, parallel lines of charge with...Ch. 25 - An infinitely long wire with uniform linear charge...Ch. 25 - Prob. 37PQCh. 25 - Prob. 38PQCh. 25 - Prob. 39PQCh. 25 - Prob. 40PQCh. 25 - Two uniform spherical charge distributions (Fig....Ch. 25 - FIGURE P25.41 Problems 41 and 42. Two uniform...Ch. 25 - The nonuniform charge density of a solid...Ch. 25 - Prob. 44PQCh. 25 - What is the magnitude of the electric field just...Ch. 25 - Prob. 46PQCh. 25 - The infinite sheets in Figure P25.47 are both...Ch. 25 - Prob. 48PQCh. 25 - Prob. 49PQCh. 25 - Prob. 50PQCh. 25 - A very large, flat slab has uniform volume charge...Ch. 25 - FIGURE P25.41 Problems 51 and 52. Find the surface...Ch. 25 - Prob. 53PQCh. 25 - Prob. 54PQCh. 25 - If the magnitude of the surface charge density of...Ch. 25 - A spherical conducting shell with a radius of...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A rectangular plate with sides 0.60 m and 0.40 m...Ch. 25 - Prob. 62PQCh. 25 - Prob. 63PQCh. 25 - A uniform spherical charge distribution has a...Ch. 25 - A rectangular surface extends from x = 0 to x =...Ch. 25 - A uniform electric field E = 1.57 104 N/C passes...Ch. 25 - A solid plastic sphere of radius R1 = 8.00 cm is...Ch. 25 - Examine the summary on page 780. Why are...Ch. 25 - Prob. 69PQCh. 25 - Prob. 70PQCh. 25 - Prob. 71PQCh. 25 - A coaxial cable is formed by a long, straight wire...Ch. 25 - Prob. 73PQCh. 25 - Prob. 74PQCh. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A very large, horizontal conducting square plate...Ch. 25 - Prob. 78PQCh. 25 - A particle with charge q = 7.20 C is surrounded by...Ch. 25 - A sphere with radius R has a charge density given...
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- A very large, flat slab has uniform volume charge density and thickness 2t. A side view of the cross section is shown in Figure P25.51. a. Find an expression for the magnitude of the electric field inside the slab at a distance x from the center. b. If = 2.00 C/m3 and 2t = 8.00 cm, calculate the magnitude of the electric field at x = 300 FIGURE P25.41 Problems 51 and 52.arrow_forwardA 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_forward
- FIGURE 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_forwardAn infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The electric field at the curved surface of the cylinder is measured to have magnitude E1 = 9.4 x 103 N/C. A solid sphere with radius R1 = 30 cm has the same charge density p. Determine the electric field E2 at the sphere's surface in terms of E1, R1, and R2.arrow_forwardThe electric flux through a square-shaped area of side 3 cm near a large charged sheet is found to be 6.8 x 10-5 N m²/C when the area is parallel to the plate. What is the charge density on the sheet? Hint The charge density on the sheet is o = Submit Question # 3 E D 54 $ R F % G Search or type URL 5 T G pC/m². 6 MacBook Pro Y & 7 H U * 00 8 J ( 9 K ) 0arrow_forward
- A slab of insulating material has a nonuniform positive charge density ρ = Cx2, where x is measured from the center of the slab as shown and C is a constant. The slab is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (|x| > d/2) and (b) the interior region of the slab (-d/2 < x < d/2).arrow_forwardThe electric field on the axis of a uniformly charged ring has magnitude 400 kN/C at a point 6 cm from the ring center. The magnitude 15 cm from the center is 125 kN/C; in both cases the field points away from the ring. a. Find the rings radius b. find the rings chargearrow_forwardIn the figure, a = 6.00 cm, b = 12.0 cm, and c = 18.0 cm. The electric field at a point 9.00 cm from the center is measured to be 4.20 × 103 N/C radially inward while the electric field at a point 36.0 cm from the center is 3.00 × 102 N/C radially outward. a)What is the charge on the insulating sphere? b)What is the net charge on the hollow conducting sphere? c)What are the charges on the inner and outer surfaces of the hollow conducting sphere? Karrow_forward
- A solid rod 2.54 cm in diameter and 1.50 m long carries a uniform volume charge density. The electric field inside the rod, halfway between its axis and its surface but not near either end, has magnitude 681 kN/C and points radially outward. a. Find the rod’s total charge. b. Find the electric field at the surface of the rod.arrow_forward+ a + A hollow sphere has a uniform volume charge density of 1.46 nC/m3. The inner radius is a = 11.7 cm and the outer radius is b = 46.8 cm. What is the magnitude of the electric field at 4.68 cm from the center of the sphere? What is the magnitude of the electric field at 145 cm from the center of the sphere?arrow_forwardSince we have two circles, should we multiply the AREA by 2 or not? And why?arrow_forward
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