Rankers Physics

Relation between Current and Drift Velocity: Practice Problem & Solution

A charged particle having drift velocity of $7.5 \times 10^{-4} \text{ m s}^{-1}$ in an electric field of $3 \times 10^{-10} \text{ Vm}^{-1}$, has a mobility in $\text{m}^2 \text{ V}^{-1} \text{ s}^{-1}$ of : (2020)
$2.5 \times 10^6$
$2.5 \times 10^{-6}$
$2.25 \times 10^{-15}$
$2.25 \times 10^{15}$

Solution Explained:

To solve this problem, we apply the core principles of Relation between Current and Drift Velocity. Understanding the underlying formula is key to arriving at the correct answer below:

Mobility $\mu = \frac{v_d}{E}$. Substituting the given values, $\mu = \frac{7.5 \times 10^{-4}}{3 \times 10^{-10}} = 2.5 \times 10^6 \text{ m}^2 \text{ V}^{-1} \text{ s}^{-1}$.

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