A charge ' \( q \) ' is carried slowly from a point \( A\left(r, 13...

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A charge ' \( q \) ' is carried slowly from a point \( A\left(r, 135^{\circ}\right) \) to a point \( B\left(r, 45^{\circ}\right) \) following a path which is a quadrant of circle of radius ' \( r \) '. If the dipole moment is \( \vec{P} \), then find out the work done by external agent.
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