IGNOU BPHCT 133 2026 - State Gauss’s Law. What does spherically symmetric charge distri

Question

State Gauss’s Law. What does spherically symmetric charge distribution mean? Use Gauss’s Law to determine the electric field of a solid metallic sphere of radius R having volume charge density $\rho$ at a point outside the sphere.

19 Jan 2026

Answer :

Word Count : 447

Gauss’s Law is a fundamental principle in electromagnetism that relates the electric flux passing through a closed surface to the total electric charge enclosed by that surface. Mathematically, it is expressed as ∮ E · dA = Q_enclosed / ε₀, where E is the electric field vector, dA is an infinitesimal area vector on the closed surface, Q_enclosed is the total charge inside the surface, and ε₀ is the permittivity of free space. This law provides a powerful method to calculate electric fields for charge distributions with high symmetry, such as spherical, cylindrical, or planar configurations. A spherically symmetric charge distribution is one in which the charge density depends only on the distance from a central point, not on the angular

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