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q(1), q(2), q(3) and q(4) are point char...

`q_(1), q_(2), q_(3)` and `q_(4)` are point charges located at points 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 ?

A

`oint(vec(E_(1))+vec(E_(2))+vec(E_(3))).dvec(A)=(q_(1)+q_(2)+q_(3))/(epsilon_(0))`

B

`oint(vec(E_(1))+vec(E_(2))+vec(E_(3))+vec(E_(4)))dvec(A)=(q_(1)+q_(2)+q_(3))/(epsilon_(0))`

C

`oint(vec(E_(1))+vec(E_(2))+vec(E_(3))).dvec(A)=((q_(1)+q_(2)+q_(3)+q_(4)))/(epsilon_(0))`

D

`oint(vec(E_(1))+vec(E_(2))+vec(E_(3))+vec(E_(4))).dvecA=((q_(1)+q_(2)+q_(3)+q_(4)))/(epsilon_(0))`

Text Solution

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The correct Answer is:
B
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