The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m². Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z 0? A) 14 N ⋅ m²/C B) 11 N ⋅ m²/C C) 17 N ⋅ m²/C D) 20 N ⋅ m²/C E) 23 N ⋅ m²/C

Question

The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m². Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z > 0? A) 14 N ⋅ m²/C B) 11 N ⋅ m²/C C) 17 N ⋅ m²/C D) 20 N ⋅ m²/C E) 23 N ⋅ m²/C

Quizplus · Accepted Answer

The electric flux through the hemisphere (z > 0) is half of the total flux through the entire sphere. The total flux is given by Gauss's law: Φ = (σ * A) / ε₀, where σ is the surface charge density, A is the area of the sphere, and ε₀ is the permittivity of free space. For a sphere of radius 4 cm, A = 4πr². The flux through the hemisphere is half of this value.

The Xy Plane Is "Painted" with a Uniform Surface Charge