Question

Work done in carrying \[2\,C\] charge in a circular path of radius \[2\,m\] around a charge of \[10\,C\] is ?

Answer 1

Hint:The process of moving energy from one place to another or from one medium to another is referred to as work. The standard metric unit or SI unit for work is the Joule \[\left( J \right)\] , which is the same as energy.

Complete step by step answer:
The cumulative work performed by an external agent in taking a charge or system of charges from infinity to the current configuration without undergoing any acceleration is referred to as the electric potential energy of that charge or system of charges. Work \[W_1\] is done to carry a charge from infinity to point \[A\] , and work \[W_2\] is done to hit point \[B\] .

\[W_1\] and \[W_2\] could be hypothetical, but \[W_1 - W_2\] clearly indicates the amount of work involved in moving charge from point \[A\] to point \[B\] , which is significant. As a result, we can assume that the potential disparity is primarily a source of concern. By convention, we consider the earth's potential to be zero.

\[W\] is the work performed when \[W = qdv\] , where \[q\] is the charge moved, and \[dv\] is the potential difference between points. The total work done in bringing a \[2\,C\] charge in a \[2\,m\] circular orbit around a \[10C\] charge is estimated below. The improvement in overall potential is denoted by \[dv\] . Each point in the circular orbit of \[r\] potential is identical. That is, \[dv = 0\]. \[r\] has a value of \[2\,m\] . The value of \[dv = 0\] , which results in \[W = q \times 0 = 0\] .

Hence, the work done is zero.

Note: Remember the formula, \[W = qdv\]. Although the principle of electric potential is useful for understanding electrical phenomena, only potential energy differences can be measured.