What is the value of the electrostatic potential at point H?

σ / ε₀ [(a² + H²)¹/² - H]
σ / ε₀ [(a² + H²)¹/² + H]
σ / 2ε₀ [(a² + H²)¹/² - H]
σ / 2ε₀ [(a² + H²)¹/² + H]

Correct answer: σ / 2ε₀ [(a² + H²)¹/² - H]

Solution

The electrostatic potential at a point is derived by integrating the electric field due to a charged surface. For a point at height H, the potential depends on the geometry of the system, leading to the given expression involving σ, ε₀, and the distance terms.

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