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When the two charges are of same polarity then field becomes zero on its axial line but in between the two charges. If they are of opposite polarity then at points outside not in between there will be one point where the net electric field becomes zero. That point will be nearer to the weaker charge ie closer to the weaker and far from the stronger one.

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Q: Where on the axis other than at an infinite distance is there a point at which their net electic field is zero between the charges to their left or to their right explain?
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