A charge +q is carried from point `A( r, 135^(@))` to point `B(r, 45^(@))` following a path, which is a quadrant of circle of radius r ( Fig. 3.97). If the dipole moment is P, find the work done by the external agent (assume short dipole). .A. `0`B. `(1)/(4pi epsilon_(0))(qp)/(r^(2))`C. `(1)/(4pi epsilon_(0))(sqrt(2)qp)/(r^(2))`D. `(1)/(4pi epsilon_(0))(qp)/(r )`

A charge +q is carried from point `A( r, 135^(@))` to point `B(r, 45^(

1.	A charge +q is carried from point `A( r, 135^(@))` to point `B(r, 45^(@))` following a path, which is a quadrant of circle of radius r ( Fig. 3.97). If the dipole moment is P, find the work done by the external agent (assume short dipole). .A. `0`B. `(1)/(4pi epsilon_(0))(qp)/(r^(2))`C. `(1)/(4pi epsilon_(0))(sqrt(2)qp)/(r^(2))`D. `(1)/(4pi epsilon_(0))(qp)/(r )`
Answer» Correct Answer - C `V_(A) = (kp cos 135^(@))/(r^(2))` `V_(B) = (kp cos 45^(@))/(r^(2))` work done `= q (V_(B) - V_(A))` `= (1)/(4pi epsilon_(0)) (sqrt(2) pq)/(r^(2))`

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