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Chapter 4: Q16DQ (page 777)

A conducting sphere is to be charged by bringing in positive charge a little at a time until the total charge is Q. The total work required for this process is alleged to be proportional to . Is this correct? Why or why not?

Short Answer

Expert verified

the relation is correct The Work required for the process is directly proportional to the square of the total charge

Step by step solution

01

Determine The total work required for this process is alleged to be proportional to

Solution:

In order to evaluate the potential of the conducting sphere, We use the following relation:

Where Q is the total charge after the capacitor completely ?lled and C is the capacitance.

In order to evaluate the Work done that required for the process, we use the following relation

Therefore , the relation is correct The Work required for the process is directly proportional to the square of the total charge

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