A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface?

Question

G1 Physics · Accepted Answer

Step 1: Electric flux through a surface is Φ = ∫𝐄·d𝐀; for a uniform field and a plane, Φ = EA cosθ. Step 2: Determine the area vector from the given geometry and take the component of 𝐄 normal to the surface. Step 3: Multiplying the normal field component by the area gives the required flux. Final: D: πR²E.