- 30 Figure 5: 6. 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. Using Gauss Law [r2 = x2 + y? + z²]: (a) 4ar² E = Qenc (radially outward) 0

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Figure 5:
6. 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. Using Gauss Law [r2 = x2 + y? + z²]:
(a)
4ar² E =
Qenc
(radially outward)
0 <r < a
(True, False)
E =
%3D
€0
€0
4r€or2
(b)
4ar² E =
Q+(-Q)
E = 0
a <r <b
(True, False)
= 0
€0
4ar² E = Qenc
€0
Q+(-Q)+(+Q)+(-3Q)
-2Q
4r€or2
(c)
E =
(radially inward)
b < r < ∞
(True, False)
€0
(d)
Charge induced at r=a is -Q
(True, False)
(e)
Charge induced at r=b is +Q
(True, False)
Transcribed Image Text:- 30 Figure 5: 6. 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. Using Gauss Law [r2 = x2 + y? + z²]: (a) 4ar² E = Qenc (radially outward) 0 <r < a (True, False) E = %3D €0 €0 4r€or2 (b) 4ar² E = Q+(-Q) E = 0 a <r <b (True, False) = 0 €0 4ar² E = Qenc €0 Q+(-Q)+(+Q)+(-3Q) -2Q 4r€or2 (c) E = (radially inward) b < r < ∞ (True, False) €0 (d) Charge induced at r=a is -Q (True, False) (e) Charge induced at r=b is +Q (True, False)
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