What is the potential energy of the pair?

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SUMMARY

The potential energy of the pair of point charges, Q1 = +5.00 nC and Q2 = -3.00 nC, separated by 35.0 cm, is calculated using the formula U = ke * (Q1 * Q2) / r, resulting in U = -3.85 x 10-7 Nm. The negative sign indicates that the interaction between the charges is attractive, meaning work must be done to separate them. Additionally, the electric potential at a point midway between the charges is calculated to be 102.611 V, confirming the attractive nature of the force between the charges.

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Can someone check this for me?

Two point charges, Q1 = + 5.00 nC and Q2 = -3.00 nC, are separated by 35.0 cm. (a) What is the potential energy of the pair? What is the significance of the algebraic sign of your answer? (b) What is the electric potential at a point midway between the charges?

(a)
U = ke * (5*10-9) * (-3*10-9) / .35
U = -3.85*10-7 Nm
I have no idea what the significance of the algebraic sign is.

(b)
V1 + V2 = ke/.175 * (5-3)*10-9
V1 + V2 = 102.611
 
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Seems correct- ve sign shows that the electrostatic potential energy of the system is negative so the interaction force is that of attraction and to make energy i.e. to separate the two charges to very large distance we have to supply the energy or we have to do work.
 

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