`q_(1),q_(2),q_(3)` and `q_(4)` are point charges located at point as shown in the figure and `S` is a spherical Gaussian surface of radius `R`. Which of the following is true according to the Gauss's law

Options

A. `oint(vecE_1 +vecE_2+vecE_3).dvecA =(q_1+q_2+q_3)/(2epsilon_0)`
B. `oint(vecE_1 +vecE_2+vecE_3).dvecA =((q_1+q_2+q_3))/(epsilon_0)`
C. `oint(vecE_1 +vecE_2+vecE_3).dvecA =((q_1+q_2+q_3+q_4))/(epsilon_0)`
D. None of the above

Answer

B

Explanation

According to Gauss’s law
`phi=(q_("in"))/epsilon_0=((q_1+q_2+q_3))/(epsilon_0)`
`q_("in") rarr` Charge enclosed by the surface.