Question
Derive an expression for a current generated due to flow of charged particles
✓
Answer
$i.$ Consider an imaginary gas of both negatively and positively charged particles moving randomly in various directions across a plane $P.$
$ii.$ In a time interval $t,$ let the amount of positive charge flowing in the forward direction be $q^+$ and the amount of negative charge flowing in the forward direction be $q^–.$ Thus, the net charge flowing in the forward direction is $q = q^+ – q^{–}$
$iii.$ Let I be the current varying with time. Let $\Delta q$ be the amount of net charge flowing across the plane $P$ from time $t$ to $t+A t$, i.e. during the time interval $\Delta t$.
$iv.$ Then the current is given by
$I ( t )=\lim _{\Delta t \rightarrow 0} \frac{\Delta q }{\Delta t }$
Flere, the current is expressed as the limit of the ratio $(\Delta q / \Delta t)$ as $\Delta t$ tends to zero.
$ii.$ In a time interval $t,$ let the amount of positive charge flowing in the forward direction be $q^+$ and the amount of negative charge flowing in the forward direction be $q^–.$ Thus, the net charge flowing in the forward direction is $q = q^+ – q^{–}$
$iii.$ Let I be the current varying with time. Let $\Delta q$ be the amount of net charge flowing across the plane $P$ from time $t$ to $t+A t$, i.e. during the time interval $\Delta t$.
$iv.$ Then the current is given by
$I ( t )=\lim _{\Delta t \rightarrow 0} \frac{\Delta q }{\Delta t }$
Flere, the current is expressed as the limit of the ratio $(\Delta q / \Delta t)$ as $\Delta t$ tends to zero.
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