Question

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

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

Step-by-step solution

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