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A Small 4.0μC4.0 - \mu C Charge and a Small 1.5μC1.5 - \mu C

Question 42

Multiple Choice

A small 4.0μC4.0 - \mu C charge and a small 1.5μC1.5 - \mu C charge are initially very far apart. How much work does it take to bring them to a final configuration in which the 4.0μC4.0 - \mu \mathrm { C } charge is at the point x=1.0x = 1.0 mm,y=1.0 mm\mathrm { mm } , y = 1.0 \mathrm {~mm} , and the 1.5μC1.5 - \mu \mathrm { C } charge is at the point x=1.0 mm,y=3.0 mmx = 1.0 \mathrm {~mm} , y = 3.0 \mathrm {~mm} ? (k=1/4πε0=8.99\left( k = 1 / 4 \pi \varepsilon _ { 0 } = 8.99 \right. ×109 Nm2/C2\times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } )


A) 13.5 kJ13.5 \mathrm {~kJ}
B) 27 J27 \mathrm {~J}
C) 13.5 J13.5 \mathrm {~J}
D) 54 J54 \mathrm {~J}

Correct Answer:

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