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Eight charges, $1 μ C, - 7 μ C, - 4 μ C, 10 μ C, 2 μ C, - 5 μ C, - 3 μC,and 6 μC$ are situated at the eight corners of a cube of side 20 cm. A spherical surface of radius 80 cm encloses this cube. The center of the sphere coincides with the center of the cube. Then, the total outgoing flux from the spherical surface (in units of Vm) is

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$36 π \times 10^{3}$

$684 π \times 10^{3}$

$z e r o$

$n o n e o f t h e s e$

answer is C.

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Detailed Solution

Sum of enclosed charges = 1-7-4+10+2-5-3+6=0

$ϕ = \frac{q_{e n}}{ε_{0}}$

Sum of all the charges is zero, so net flux is zero.

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