
Explanation
Interpreting the drift current formula Steps: - Recall the standard equation for electric current in a wire: I = n A v q, where n is charge carrier density, A is cross-sectional area, q is charge per carrier, and v is drift speed. - Analyze the formula: current arises from the net flow of charges, determined by how many carriers (n), their charge (q), the wire's width (A), and their average speed (v). - Eliminate unrelated symbols: v cannot represent voltage (typically V) or volume (not in formula). - Confirm v matches the physical meaning: it denotes the slow, directed motion of carriers under electric field. Why A is correct: - In the drift current formula I = n q A v_d, v represents the average drift velocity, the net speed of charge carriers due to the applied field, as defined in Ohm's law derivations. Why the others are wrong: - B: Instantaneous velocity is random thermal motion, much faster than drift and averages to zero without field. - C: Voltage is denoted by V and drives the current but …
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