1.

Two point charges q_(1)andq_(2) are located at vecrandvecr_(2) respectively in an external electric field E. Obtain the experession for the total work done in assembling this configuration .

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Solution :WORK DONE in briginging the charge `q_(1)` from infinity to position `r_(1)`
`W_(1)=q_(1)V(r_(1))` Work done in bringing charge `q_(2)` to the position `r_(2)`
`W_(2)=q_(2)V(r_(2))+(q_(1)q_(2))/(4piepsilon_(0)r_(12))`
Hence , total work done in assembling the two charges
`W=W_(1)+W_(2)`
`=q_(1)V(r_(1))+q_(2)V(r_(2))+(q_(1)q_(2))/(4piepsilon_(0)r_(12))`


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