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Y = 0 in second line. |
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Answer» The GIVEN CHARGE assembly can be represented using the three co-ordinate axes x, y and z as shown in figure. The charge -2q is placed at the origin O. One + q charge is place at (a,0, 0) and the other +q charge is placed at(0, a, 0). THUS the system has two dipoles along x-axis and y-axis respectively. As the electric dipole moment is directed from the negative to the positive charge HENCE the resultant dipole moment will be along OA where co-ordinates of point A are (a, a, 0). The magnitude of each dipole moment, , p=qa So, the magnitude of resultant dipole moment is P R
= p 2 +P 2
= (qa) 2 +(qa) 2
= 2
qa |
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