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(A) The number of electric field lines passing through a given surface area is defined as the electric flux $(\Phi_E)$.Mathematically, electric flux i

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The number of field lines is directly proportional to the area.

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(A) The number of electric field lines passing through a given surface area is defined as the electric flux $(\Phi_E)$.Mathematically, electric flux is given by the dot product of the electric field vector $(\vec{E})$ and the area vector $(\vec{A})$, expressed as $\Phi_E = \int \vec{E} \cdot d\vec{A}$.For a uniform electric field passing through a flat surface, this simplifies to $\Phi_E = EA \cos	heta$.Since the number of field lines is proportional to the electric flux, it follows that the number of field lines is directly proportional to the area $(A)$ of the surface, provided the electric field strength remains constant.

How does the number of electric field lines depend on the area?

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