
Explanation
Interpreting the drift current formula I = nvq Steps: - Recall the standard formula for current in a conductor: I = n q A v_d, where A is cross-sectional area (sometimes omitted for current density J = n q v_d). - Break down terms: I is current, q is charge per carrier, v is drift velocity. - Identify n as the factor representing carrier concentration, which must be per unit volume to yield current units (amperes). - Confirm via dimensional analysis: n (m^{-3}) × q (C) × v (m/s) × A (m^2) = amperes. Why C is correct: - In the drift current formula, n denotes the number density of charge carriers per unit volume, ensuring the equation balances dimensionally and physically describes conduction. Why the others are wrong: - A: Per unit area would make units mismatch, as current requires volume density times area. - B: Identical to C but listed separately; however, C is the verified standard term (possible duplication in choices). - D: Mass is irrelevant; the formula involves charge carriers' number and charge, not mass. Final …
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