8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm? I

8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm? I

University Physics Volume 2

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ISBN:9781938168161

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Chapter6: Gauss's Law

Section: Chapter Questions

Problem 55P: The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
|
9+
b

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Step 3: Calculation of the electric field at r=2.2 cm = 0.022 m

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If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributed throughout its volume, what is its: a) volume charge density? b) What is the magnitude of the electric field at 10 cm c) 65 cm from the center of the sphere.
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49 In Fig. 23-54, a solid sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner ra- dius b = 2.00a and outer radius c= 2.40a. The sphere has a net uniform charge q = +5.00 fC; the shell has a net charge q2 = -q1. What is the mag- nitude of the electric field at radial distances (a) r = 0, (b) r = al2.00, (c) T= a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? Figure 23-54 Problem 49.
30 In Fig. 23-43, short sections of two very long parallel lines of charge are shown, fixed in place, Line 1 separated by L= 8.0 cm. The uni- form linear charge densities are +6.0 µC/m for line 1 and -2.0 µC/m for line 2. Where along the x axis shown is the net electric field from the two lines zero? Line 2 L/2 | L/2 Figure 23-43 Problem 30.
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-24 Figure 23-40 shows a section of a long, thin-walled metal tube of radius R= 3.00 cm, with a charge per unit length of A = 2.00 x 10-8 C/m. What is the magnitude E of the electric field at radial distance (a) r= R2.00 and (b) r= 2.00R? (c) Graph E versus r for the range r = 0 to 2.00R.
65 In Fig. 22-64a, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Fig. 22-64b, that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 0. The charge on the arc pro- +Q/e/2 duces an electric field e/2 of magnitude Eare at its cen- ter of curvature P. For what value of e does Eare 0.500Epart? (Hint: You will probably resort to a graphi- cal solution.) (a) (6) Figure 22-64 Problem 65.
Figure 22-53 Problem 30. *31 SSM ILW www In Fig. 22-54, a nonconducting rod of length L = 8.15 cm has a charge -q = -4.23 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magni- tude and (c) direction (relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 12.0 cm from the rod? What is the electric field magnitude produced at distance a =50 m by (d) the rod and (e) a particle of charge -q = -4.23 fC that we use to replace the rod? (At that distance, the rod "looks" like a particle.) -4 -x- Figure 22-54 Problem 31.