A hollow non-conducting spherical shell has inner radius R;= 6 cm and outer radius R2 = 12 cm. A charge Q =-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R;

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A hollow non-conducting spherical shell has inner radius R1 = 6 cm and
outer radius R, = 12 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a
spherically symmetric charge density p = Ar for R1 <r<R2 that increases linearly with radius,
where A = 19 µC/m4.
R2
Write an equation for the radial electric field in the region r < R in terms of Q, r. and Coulomb's constant k. You may take the positive
direction as outward.
E, < R, =
a
8
9
HOME
a
A
5
d
k
* 1
m
END
-
R1
R2
vol BACKSPACE DEL CLEAR
What is the radial electric field at the point r = 0.5R,? Given your answer in units of kN/C, and take the positive direction outwards.
What is the radial electric field at the point r= 0.5(R+R2)? Give your answer in units of kN/C.
What is the radial electric field at the point r= 2R,? Give your answer in units of kN/C.
Transcribed Image Text:A hollow non-conducting spherical shell has inner radius R1 = 6 cm and outer radius R, = 12 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 <r<R2 that increases linearly with radius, where A = 19 µC/m4. R2 Write an equation for the radial electric field in the region r < R in terms of Q, r. and Coulomb's constant k. You may take the positive direction as outward. E, < R, = a 8 9 HOME a A 5 d k * 1 m END - R1 R2 vol BACKSPACE DEL CLEAR What is the radial electric field at the point r = 0.5R,? Given your answer in units of kN/C, and take the positive direction outwards. What is the radial electric field at the point r= 0.5(R+R2)? Give your answer in units of kN/C. What is the radial electric field at the point r= 2R,? Give your answer in units of kN/C.
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