QJEEM19Ph1785: JEE Main 2019 Physics - Class 12 JEEM19Ph1785 Solution: Four equal point charges Q each are placed in the xy plane at…

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QJEEM19Ph1785: JEE Main 2019 Physics - Class 12 JEEM19Ph1785 Solution: Four equal point charges Q each are placed in the xy plane at…

Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to put a fifth charge Q at the origin of the coordinate system will be -

Multiple Choice Options

A ${{{Q_2}} \over {4\pi {\varepsilon _0}}}$
B ${{{Q^2}} \over {2\sqrt 2 \pi {\varepsilon _0}}}$
C ${{{Q_2}} \over {4\pi {\varepsilon _0}}}\left( {1 + {1 \over {\sqrt 3 }}} \right)$
D ${{{Q_2}} \over {4\pi {\varepsilon _0}}}\left( {1 + {1 \over {\sqrt 5 }}} \right)$