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A charge q is moved from A to B in the r...

A charge q is moved from A to B in the region of a fixed ideal dipole p. Find the work done on the charge (Assume gravity free space ).

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`W= DeltaU = q( pcos(pip - theta))/(4pi epsilon_(0)r^(2))-q(pcos theta)/(4pi epsilon_(0)r^(2))`
`= ( - 2pq cos theta)/( 4pi epsilon_(0)r^(2)) = - ( pq cos theta)/( 2 pi epsilon_(0)r^(2))`
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