Question

The electric flux through a closed surface area S enclosing charge Q is ϕ. if the surface area is doubled, then the flux is ? a. 2 ϕ b. ϕ/4 c. ϕ/2 d. ϕ

Answer 1

OPTION D.

The electric flux through a closed surface area enclosing charge Q remains constant even if the surface area is doubled, as it only depends on the charge enclosed.

Step-by-step explanation:

The electric flux ϕ through a closed surface area S enclosing charge Q does not depend on the size of the surface but only on the amount of charge enclosed. According to Gauss's Law, the electric flux through a closed surface is equal to the charge Q enclosed by the surface divided by the permittivity of free space (ε₀). If the surface area is doubled, the electric flux remains the same because the enclosed charge has not changed. Therefore, the correct answer is d. ϕ.

Answer 2

The correct answer is option a. 2ϕ. The electric flux through a closed surface area is determined by the enclosed charge and the surface area. If the surface area is doubled while the enclosed charge remains the same, the flux will also double.

Step-by-step explanation:

The electric flux through a closed surface area is determined by the enclosed charge and the surface area. According to Gauss's Law, the flux is proportional to the amount of charge enclosed by the surface. If the surface area is doubled while the enclosed charge remains the same, the flux will also double.

Therefore, the correct answer is option a. 2ϕ.