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Exercise 23.25 A thin spherical shell with radius R4.00 cm is concentric with a

ID: 1493352 • Letter: E

Question

Exercise 23.25 A thin spherical shell with radius R4.00 cm is concentric with a larger thin spherical shell with radius 6.00 cm. Both shells are made of insulating material. The smaller shell has charge q1 = +6.00 nC distributed uniformly over its surface, and the larger shell has charge q2- 9.00 nC distributed uniformly over its surface. Take the electric potential to be zero at an infinite distance from both shells Part A What is the electric potential due to the two shells at the following distance from their common center r = 0? Express your answer with the appropriate units V- Value Units alne Submit My Answers Give Up Part B What is the electric potential due to the two shells at the following distance from their common center r = 5.00 cm ? Express your answer with the appropriate units. V- Value Units alne Submit My Answers Give Up Part C What is the electric potential due to the two shells at the following distance from their common center r = 7.00 cm ? Express your answer with the appropriate units. V- Value Units alne Submit My Answers Give Up

Explanation / Answer


A)

V = v1 + v2

v = k*q1/R1 + k*q2/R2


v = (9*10^9*6*10^-9)/0.04 - (9*10^9*9*10^-9)/0.06

v = 0          


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(B)

r > R1


r < R2

V = k*q1/r + k*q2/R2

v = (9*10^9*6*10^-9)/0.05 - (9*10^9*9*10^-9)/0.06 = -270 V    

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(c)

r > R1

r > R2


V = k*q1/r + k*q2/r

v = (9*10^9*6*10^-9)/0.07 - (9*10^9*9*10^-9)/0.07 = -385.7 V   

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(D)

dV = V1 - V2

dV = k*q1/R1 - k*q2/R2


dV = (9*10^9*6*10^-9)/0.04 + (9*10^9*9*10^-9)/0.06 = 2700 V

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Part E)inner shell has higher potential