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The number density of free electrons in copper is nearly 8×10²⁸ m⁻³. A copper wire has its area of cross section =2×10⁻⁶ m² and is carrying a current of 3.2 A. The drift speed of the electrons is ______ ×10⁻⁶ m s⁻¹.

Asked in JEE Main 8th April 2nd Shift 2023 · Drift velocity, mobility and current density

Answer: 125

Step-by-step solution

v_d=I/(neA).

neA=8×10²⁸×1.6×10⁻¹⁹×2×10⁻⁶=2.56×10⁴.

v_d=(3.2)/(2.56×10⁴)=1.25×10⁻⁴=125×10⁻⁶ m/s.

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