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

Question

Eight charges, 1 μ C ,-7 μ C ,-4 μ C , 10 μ C , 2 μ C , -5 μ C,-3 μ C and 6 μ C are situated at the eight corners of a cube of side 20 cm. A spherical surface of radius 80 cm encloses this cube. The centre of the sphere coincides with the centre of the cube. Then the total outgoing flux from the spherical surface (in unit of volt meter) is : (A) 36 π × 103 (B) 684 π × 103 (C) Zero (D) None of the above

Tardigrade Admin · Accepted Answer

Total flux enclosed by surface =(Q text inclosed /ε0) =(1-7-4+10+2-5-3+6/ε0) × 10-6 =0

$36 π \times 1 0^{3}$

$684 π \times 1 0^{3}$

Zero

None of the above

Total flux enclosed by surface $= \frac{Q _{inclosed}}{ε _{0}}$
$= \frac{1 - 7 - 4 + 10 + 2 - 5 - 3 + 6}{ε _{0}} \times 1 0^{- 6}$
$= 0$

36π×103

684π×103

Zero

None of the above

Total flux enclosed by surface =ε0​Qinclosed ​​ =ε0​1−7−4+10+2−5−3+6​×10−6 =0

$36 π \times 1 0^{3}$

$684 π \times 1 0^{3}$

Total flux enclosed by surface $= \frac{Q _{inclosed}}{ε _{0}}$
$= \frac{1 - 7 - 4 + 10 + 2 - 5 - 3 + 6}{ε _{0}} \times 1 0^{- 6}$
$= 0$