`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_(s)(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)).dvec(A)=(q_(1)+q_(2)+q_(3))/(2epsilon_(0))`
B. `oint_(s)(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)).dvec(A)=((q_(1)+q_(2)+q_(3)))/(epsilon_(0))`
C. `oint_(s)(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)).dvec(A)=((q_(1)+q_(2)+q_(3)+q_(4)))/(2epsilon_(0))`
D. None of these

Answer

B

Explanation

By using `intvec(E ).vec(dA)= (1)/(epsilon_(0))(Q_(enc))`