For a charge distribution with volume density ρ, the total charge Q equals
A{'text': '∫∫∫ ρ dV', 'label': 'A'}
B{'text': '∫ ρ dr', 'label': 'B'}
C{'text': '∫∫ ρ dA', 'label': 'C'}
D{'text': 'ρ × surface area', 'label': 'D'}
Answer & Solution
Correct answer: A. {'text': '∫∫∫ ρ dV', 'label': 'A'}
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: NCERT Class 12 Physics, Ch 1 "Electric Charges and Fields", §1.14_
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