A charge q_(0) is movedfrom point P to point q along the arc PQ with centre at O as shown in the figure near a long charged wire. The linear charge density of the wire is lambda and it in the same plane. Find the work done in the process.

A charge q_(0) is movedfrom point P to point q along the arc PQ with c

1.	A charge q_(0) is movedfrom point P to point q along the arc PQ with centre at O as shown in the figure near a long charged wire. The linear charge density of the wire is lambda and it in the same plane. Find the work done in the process.
Answer» Solution :We know that electric field is conservative. So work doen does not dependupon the PATH. `W_(P to Q) =W_(P to O) ( :. V_(0)=V_(Q))` `W_(P to Q) = -int_((r+D))^(D ) q barE . dbarr` `W= -q int_((r+D))^(D) (2lambda)/(4pi in_(0)) (dr)/(r ) =(lambdaq)/(2pi in_(0)) log_(e ) ((r+D)/(D)).`

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A charge q_(0) is movedfrom point P to point q along the arc PQ with centre at O as shown in the figure near a long charged wire. The linear charge density of the wire is lambda and it in the same plane. Find the work done in the process.

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