(13%) Problem 6: A hollow non-conducting spherical shell has inner radius R₂ = 7 cm and outer radius R₂ = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density o = Ar for R₁
(13%) Problem 6: A hollow non-conducting spherical shell has inner radius R₂ = 7 cm and outer radius R₂ = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density o = Ar for R₁
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![(13%) Problem 6: A hollow non-conducting spherical shell has inner radius R, = 7 cm and
outer radius R₂ = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a
spherically symmetric charge density g = Ar for R₁ <r < R₂ that increases linearly with radius,
where A = 24 µC/m4.
R₂
✓ 25% Part (a)_ Write an equation for the radial electric field in the region r < R₁ in terms of Q,r, and Coulomb's constant k. You may take the positive
direction as outward.
select part
Er < R₁ = (kQ)/r² ✓ Correct!
✓ 25% Part (b) What is the radial electric field at the point r = 0.5R₁? Given your answer in units of kN/C, and take the positive direction outwards.
E(0.5R₂) = -257
E(0.5R₂) = -257 ✓ Correct!
25% Part (c) What is the radial electric field at the point r = 0.5(R/+R₂)? Give your answer in units of kN/C.
E(0.5(R1+R₂)) = 10.32
E(0.5(R₁+R₂)) = -10.32 X Attempts Remain
▷ A 25% Part (d) What is the radial electric field at the point r = 2R₂? Give your answer in units of kN/C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b8502c6-77e6-4ad1-93a4-15893327988c%2Ff3b0a6c5-34f2-4fe7-8e44-58b409aab160%2Fiiv66g_processed.png&w=3840&q=75)
Transcribed Image Text:(13%) Problem 6: A hollow non-conducting spherical shell has inner radius R, = 7 cm and
outer radius R₂ = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a
spherically symmetric charge density g = Ar for R₁ <r < R₂ that increases linearly with radius,
where A = 24 µC/m4.
R₂
✓ 25% Part (a)_ Write an equation for the radial electric field in the region r < R₁ in terms of Q,r, and Coulomb's constant k. You may take the positive
direction as outward.
select part
Er < R₁ = (kQ)/r² ✓ Correct!
✓ 25% Part (b) What is the radial electric field at the point r = 0.5R₁? Given your answer in units of kN/C, and take the positive direction outwards.
E(0.5R₂) = -257
E(0.5R₂) = -257 ✓ Correct!
25% Part (c) What is the radial electric field at the point r = 0.5(R/+R₂)? Give your answer in units of kN/C.
E(0.5(R1+R₂)) = 10.32
E(0.5(R₁+R₂)) = -10.32 X Attempts Remain
▷ A 25% Part (d) What is the radial electric field at the point r = 2R₂? Give your answer in units of kN/C.
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