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Start form the result of part (a), problem 71, Ch 25, 8th edition, which is the potential of an electric dipole, find the expression of

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Start form the result of part (a), problem 71, Ch 25, 8th edition, which is the potential of an electric dipole, find the expression of the electric field produced by the dipole, in terms of the vectors r and p (the dipole moment). Do not leave the result in component forms. You can see the expression for the potential V of an electric dipole from this link (Eq. 18) : https:/physicscatalyst.com/elec/electric-potential-dipole.php Challenge Problems An electric dipole is located along the y axis as shown in Figure P25.71. The magnitude of its electric dipole moment is defined as p = 2aq. (a) At a point P, which is far from the dipole (r >> a), show that the electric potential is - k. pcos b P y2 |f we consider the case where r==a then o225 an 4@0? again since pcosB= p-r" where, r" is the unit vector along the vector OR then electric potential of dipole is . R as) 4?:5'0?2 for =>a From above equation we can see that potential due to electric dipole is inversly proportional to r2 not 1/r which is the case for potential due to single charge. Potential due to electric dipole does not only depends on r but also depends on angle between position vector r and dipole moment p

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