13) The total negative charge carried by a solid conducting sphere of radius R is -Q. This sphere is surrounded by an insulating shell of inner radius R and outer radius 2R. The uniform charge density of the insulating shell is p. What is the value of p that will make the net charge of the entire system zero? Find the magnitude of the electric field for R

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13/20
13)
The total negative charge carried by a solid conducting sphere of radius R is -Q.
This sphere is surrounded by an insulating shell of inner radius R and outer radius
2R. The uniform charge density of the insulating shell is p. What is the value of
p that will make the net charge of the entire system zero? Find the magnitude
of the electric field for R <r << 2R according to the p value found.
Qr
3Q
a) p=-28R3'
20
%3D
28πε, R3
Qr
30
b) p =
20
28R3
7περγ2
28περR 3|
Qr
30
E
14R3
4Q
c) p = -
14ne,R3
4Q
30
d) p =
Qr
14R3
7HE r2
14TE R3
90
3Qr
e) p =
E =
7nEgr
28nR3
28TE R3
Transcribed Image Text:13/20 13) The total negative charge carried by a solid conducting sphere of radius R is -Q. This sphere is surrounded by an insulating shell of inner radius R and outer radius 2R. The uniform charge density of the insulating shell is p. What is the value of p that will make the net charge of the entire system zero? Find the magnitude of the electric field for R <r << 2R according to the p value found. Qr 3Q a) p=-28R3' 20 %3D 28πε, R3 Qr 30 b) p = 20 28R3 7περγ2 28περR 3| Qr 30 E 14R3 4Q c) p = - 14ne,R3 4Q 30 d) p = Qr 14R3 7HE r2 14TE R3 90 3Qr e) p = E = 7nEgr 28nR3 28TE R3
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