Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 67P
To determine
The electric field, a small distance away from the surface on the negative x axis.
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Q.
A 5.0 nC point charge is embedded at the center of a nonconducting sphere (radius 2.0 cm) which has a
charge of-8 nC distributed uniformly throughout its volume. What is the magnitude of electric field (in N/C) at
a point that is 1.0 cm from the center of the sphere?
A
B
D
E
1.8x10 0.9x10 3.6x10* | 2.7x10° 7.2x10s
An insulating spherical shell has uniform charge 5.0 nC, inner radius a
radius b 20 cm. It is concentric with a conducting spherical shell with total charge -5.0 nC, inner radius
= 10 cm, and outer
c = 30 cm, and outer radius d = 40 cm.
a
C
p.
Find the magnitude of the electric field at the following three distances from the center: r = 5 cm, 25 cm,
and 50 cm.
Two small insulating spheres with radius 5.00×10−2 mm are separated by a large center-to-center distance of 0.505 mm . One sphere is negatively charged, with net charge -1.35 μCμC , and the other sphere is positively charged, with net charge 3.65 μCμC . The charge is uniformly distributed within the volume of each sphere.
What is the magnitude EEE of the electric field midway between the spheres?
Take the permittivity of free space to be ϵ0ϵ0epsilon_0 = 8.85×10−12 C2/(N⋅m2)C2/(N⋅m2) .
Chapter 22 Solutions
Physics for Scientists and Engineers
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10P
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- The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?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_forwardFIGURE P25.41 Problems 41 and 42. Two uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere.arrow_forward
- Two long, thin rods each have linear charge density = 6.0 C/m and lie parallel to each other, separated by 20.0 cm as shown in Figure P25.32. Determine the magnitude and direction of the net electric field at point P, a distance of 15.0 cm directly above the right rod. Figure P25.32arrow_forwardA 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_forwardThe nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?arrow_forward
- A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 11.0 × 107 N/C. Approximately, what is the net charge on the shell? Assume rs = 1 cm. Number i E (107 N/C) E 0 Units r's 2rs r (cm) I 3rs 4rs 5rsarrow_forwardA hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 15 cm. A charge Q = -25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 17 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.arrow_forwardA hollow sphere with a radius of 1.50 m has positive charge q uniformly distributed on its surface. At a point that is 0.6 m from outside from the surface of the sphere, the magnitude of the electric field is 40.0 N/C. What is the magnitude of the electric field at a point inside the sphere, at a distance of 0.7m from the center of the sphere?arrow_forward
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