A potential difference of 6 V is applied across a conductor of length 12 cm. If the mobility of electrons is $5.6 × 10^{-6} m^2/Vs$, their drift velocity will be:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $2.8 × 10^{-4} m/s$
Given:
Potential difference: $V = 6 \, \text{V}$
Length of conductor: $L = 12 \, \text{cm} = 0.12 \, \text{m}$
Electron mobility: $\mu = 5.6 \times 10^{-6} \, \text{m}^2/\text{Vs}$
Electric field: $E = \frac{V}{L} = \frac{6}{0.12} = 50 \, \text{V/m}$
Drift velocity: $v_d = \mu E = (5.6 \times 10^{-6}) \cdot 50 = 2.8 \times 10^{-4} \, \text{m/s}$
Answer: $v_d = 2.8 \times 10^{-4} \, \text{m/s}$