Two points charges \( +q \) and \( -q \) are held fixed at \( (-d, ...

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Two points charges \( +q \) and \( -q \) are held fixed at \( (-d, 0) \) and \( (d, 0) \) respectively of a \( (X, Y) \) coordinate system. Then
(1) \( E \) at all point on the Y-axis is along \( \hat{i} \)
(2) The direction field \( \vec{E} \) at all point on the \( x \)-axis has the same direction
(3) Dipole moments is \( 2 q d \) directed along \( \hat{i} \)
(4) Work has to be done in bringing a test charge from infinity to the origin
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