(a) The electric potential produced by a point charge can be found from the formula:
V=krQ,here, k is the Coulomb's constant, Q is the point charge, r is the distance from the point charge.
So, the total electric potential produced by two point charges at the midway is the sum of the electric potential produced by 5.00 nC charge and the electric potential produced by -3.00 nC charge:
V=V1+V2=krQ1+krQ2=rk(Q1+Q2),V=0.175 m8.99⋅109 NC2m2(5⋅10−9 C+(−3⋅10−9 C))=103 V.(b) We can find the potential energy of the pair of charges from the formula:
PE=rkQ1Q2,PE=0.35 m8.99⋅109 NC2m2⋅5⋅10−9 C⋅(−3⋅10−9 C)=−3.85⋅10−7 J.Answer:
(a) V=103 V.
(b) PE=−3.85⋅10−7 J.
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