Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in...

Five charges

+q,+5 q,-2 q,+3 q

and

-4 q

are situated as shown in the figure, The electric flux due to this configuration through the surface S is : Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure, The electric flux due to this

Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure, The electric flux due to this

Options

A $\frac{5 q}{\epsilon_0}$
B $\frac{4 q}{\epsilon_0}$
C $\frac{3 q}{\epsilon_0}$
D $\frac{q}{\epsilon_0}$

Correct answer

B. $\frac{4 q}{\epsilon_0}$

Step-by-step solution

Using Gauss's law,

\phi=\frac{q}{\epsilon_0}

Here,

\mathrm{q}=

charge inside the closed surface

\therefore \phi=\frac{q+(-2 q)+5 q}{\epsilon_0}\Rightarrow \phi=\frac{4 q}{\epsilon_0}

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