If the charges inside a sphere are $+2 \times 10^{-6} \ C$,$-5 \times 10^{-6} \ C$,$-3 \times 10^{-6} \ C$,and $+6 \times 10^{-6} \ C$,what is the total electric flux passing through the sphere?

  • A
    $0$
  • B
    $16 \pi \times 10^{-6} \ N \cdot m^2/C$
  • C
    $8 \pi \times 10^{-6} \ N \cdot m^2/C$
  • D
    $36 \pi \times 10^{-6} \ N \cdot m^2/C$

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$A$ closed surface passes through a spherical conductor as shown in the figure. If a negative charge $-Q$ is placed at point $P$,what will be the nature of the electric flux coming out of the closed surface?

An electric field is given by $\vec{E} = (6 \hat{i} + 5 \hat{j} + 3 \hat{k}) \ N/C$. The electric flux through a surface area $\vec{A} = 30 \hat{i} \ m^2$ (in $SI$ units) is:

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