In a GaAs sample the electrons are moving under an electric

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In a GaAs sample the electrons are moving under an electric field of 5 kV/cm and the carrier concentration is uniform at 10¹⁶ cm^{– 3}. The electron velocity is the saturated velocity of 10⁷ cm/s. The drift current density is—

1. 1.6 × 10⁴ A/cm²
2. 2.4 × 10⁴ A/cm²
3. 1.6 × 10⁸ A/cm²
4. 2.4 × 10⁸ A/cm²

Correct Option: A

Given data, E = 5 kV/ cm = 5000 V/ cm
n = 10¹⁶ cm^–3
ν _d = 10⁷ cm/s
J_drift =?
J_drift = 9 µ_n. n. E = 9. n. ν_d (˙.˙ ν_d = µ_n. E)
= 1.6 × 10^–19 × 10¹⁶ × 10⁷
= 1.6 × 10⁴ A/ cm2