alleryFor a charge distribution with volume density ρ, the total charge Q equals
A∫∫∫ ρ dV
B∫ ρ dr
C∫∫ ρ dA
Dρ × surface area
Answer & Solution
Correct answer: A. ∫∫∫ ρ dV
1. Volume charge density ρ has units C/m³.
2. Total charge is obtained by integrating ρ over the entire volume.
3. Q = ∫∫∫ ρ dV.
4. For a uniform distribution ρ × V; for varying ρ the full integral is needed.
_Source: syllabus Physics, Ch 1 "Electric Charges and Fields", §1.14_
Keep practising Electromagnetism
Browse all Electromagnetism questions for JEE Advanced, or explore more Physics topics.
Related questions
The electric flux through a closed surface enclosing a charge of +5 μC is (ε₀ = 8.85 × 10⁻The electric field on the axial line of a short electric dipole at distance r isAn electric dipole consists of two equal and opposite point charges ±q separated by distanGauss's law states that the total electric flux through a closed surface equalsThe electric field just outside a uniformly charged infinite plane with surface charge denThe electric field of an infinite line of charge with linear charge density λ at perpendicThe electric field at distance r from an isolated point charge q isTwo point charges of +2 μC each are placed 3 m apart in vacuum. The force between them is