A metal sphere with 1 m radius and a surface charge density

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A metal sphere with 1 m radius and a surface charge density of 10 coulomb/m2 is enclosed in a cube of 10 m side. The total outward electric displacement normal to the surface of the cube is—

1. 40 coulomb
2. 10 coulomb
3. 5 coulomb
4. None of the above

Correct Option: A

D = 4πr²q
= 4 π.1².10
= 40 π coulomb.