A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is −3 Q , and it is insulated from its surroundings ( Fig. P22.44 ). (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r < a , a < r < b , and r > b . What is the surface charge density (b) on the inner surface of the conducting shell; (c) on the outer surface of the conducting shell? (d) Sketch the electric field lines and the | location of all charges, (e) Graph E as a function of r . Figure P22.44
A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is −3 Q , and it is insulated from its surroundings ( Fig. P22.44 ). (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r < a , a < r < b , and r > b . What is the surface charge density (b) on the inner surface of the conducting shell; (c) on the outer surface of the conducting shell? (d) Sketch the electric field lines and the | location of all charges, (e) Graph E as a function of r . Figure P22.44
A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is −3Q, and it is insulated from its surroundings (Fig. P22.44). (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r < a, a < r < b, and r > b. What is the surface charge density (b) on the inner surface of the conducting shell; (c) on the outer surface of the conducting shell? (d) Sketch the electric field lines and the | location of all charges, (e) Graph E as a function of r.
(a) Sketch the electric field lines and the location of all charges.
(b) Graph the electric-field magnitude as a function of r
ring-shaped conductor with radius a = 2.50 cm has a total positive charge Q = +0.125 nC uniformly distributed around it. The center of the ring is at the origin of coordinates O. (a) What is the electric field (magnitude and direction) at point P, which is on the x-axis at x = 40.0 cm? (b) A point charge Q = -2.50 ?C is placed at point P. What are the magnitude and direction of the force exerted by the charge q on the ring?
A sphere of radius 5.00 cm carries charge +3 nC. Calculate the electric-field magnitude at a distance 4.00 cm from the center of the sphere and at a distance 6.00 cm from the center of the sphere if the sphere is (a) a solid insulator with the charge spread uniformly throughout its volume and (b) a solid conductor.
A. a) E = 8630 N/C (inside) 7500 N/C (outside), b) E =0 N/C (inside), E= 7500 N/C (outside) B. a) E = 7500 N/C, b) E = 0N/C C. a) E = 0N/C, b) E = 5090N/C D. a) E = 4800 N/C, b) E = 4800 N/C
Chapter 22 Solutions
University Physics with Modern Physics (14th Edition)
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