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what is the solution to these problems? The dome of a Van de Graaff generator re

ID: 1675371 • Letter: W

Question

what is the solution to these problems? The dome of a Van de Graaff generator receives a charge of5.0 X 10-4 C. Find thestrength of the electric field in the following situations. (Hint:See Section 15.6 to review properties of conductors inelectrostatic equilibrium. Also use the fact that the points on thesurface are outside a spherically symmetric charge distribution;the total charge may be considered as located at the center of thesphere.) (a) inside the dome
N/C
(b) at the surface of the dome, assuming it has a radius of3.0 m N/C
(c) 4.0 m from the center of thedome
N/C what is the solution to these problems? The dome of a Van de Graaff generator receives a charge of5.0 X 10-4 C. Find thestrength of the electric field in the following situations. (Hint:See Section 15.6 to review properties of conductors inelectrostatic equilibrium. Also use the fact that the points on thesurface are outside a spherically symmetric charge distribution;the total charge may be considered as located at the center of thesphere.) (a) inside the dome
N/C
(b) at the surface of the dome, assuming it has a radius of3.0 m N/C
(c) 4.0 m from the center of thedome
N/C (a) inside the dome
N/C
(b) at the surface of the dome, assuming it has a radius of3.0 m N/C
(c) 4.0 m from the center of thedome
N/C

Explanation / Answer

   a.   Electric field insidethe dome      E   =   0          As allthe charge resides on the surface.    b.   At thesurface      E3.0   =   (1/40)* q / R2
                                             =   9.0* 109 * 5.0 * 10-4 / 3.02                                              =   5.0* 105   N/C    c.   At       r   =   4.0   m          E4.0   =   (1/40)* q / r2                      =   9.0* 109 / 5.0 * 10-4 / 4.02                      =   2.81* 105   N/C                      =   2.81* 105   N/C