$q_1, q_2, q_3$ and $q_4$ are point charges located as shown in the figure,and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to Gauss's law?

  • A
    $\oint\limits_S {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right) \cdot d\vec A = \frac{{{q_1} + {q_2} + {q_3}}}{{2{\epsilon _0}}}}$
  • B
    $\oint\limits_S {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right) \cdot d\vec A = \frac{{{q_1} + {q_2} + {q_3}}}{{{\epsilon _0}}}}$
  • C
    $\oint\limits_S {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right) \cdot d\vec A = \frac{{{q_1} + {q_2} + {q_3} + {q_4}}}{{{\epsilon _0}}}}$
  • D
    None of the above

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