In both cases force is being applied?

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SUMMARY

The discussion centers on the behavior of electric charges and potential energy in systems involving positive and negative charges. When a positive charge is pushed towards another positive charge, the potential energy of the system increases due to the repulsive force. Conversely, when a negative charge attracts a positive charge, the system does not gain potential energy; instead, the work done is negative, indicating a loss in potential energy. The system becomes more stable as the negative charge approaches the positive charge, resulting in energy being stored in the system as the charges come together.

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Miraj Kayastha
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If a positive charge is pushed towards another positive charge then the potential energy of the system increases.

When negative charge attracts positive charge why doesn't the system gain potential energy?

In both cases force is being applied?
 
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The direction of the force is opposite, so the work done is opposite and therefore the change in potential energy is opposite.
 
Does negative work done mean loss in potential energy?
 
Or loss in KE, yes.
 
the system would be more stable if the negative charge was closer to the positive charge , so the work done * energy spent * was actually energy stored in the system that was released to pull the charges together
 

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