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A lab assistant has a spherical shell of radius

R = 0.153

m and wishes to charge it by bringing in charges from a long distance away. Determine the amount of work (in J) that must be done in order to bring the sphere to a total charge of

Q = 119 µC.

### Problem Statement

A lab assistant has a spherical shell of radius \( R = 0.153 \, \text{m} \) and wishes to charge it by bringing in charges from a long distance away. Determine the amount of work (in joules, J) that must be done in order to bring the sphere to a total charge of \( Q = 119 \, \mu\text{C} \).

[Text Field for Input: Work in Joules]

### Explanation

In this problem, you are tasked with calculating the work required to charge a spherical shell to a specific charge. The spherical shell's radius and the final desired charge are provided. The work done on the shell can be calculated using principles of electrostatics, particularly focusing on the concept of potential energy related to charging a conductor.

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