Question
What is electric current ? Explain about it.

Answer

To understand electric current, imagine a small area held normal (Perpendicular) to the direction of flow of charges.
Both the positive and the negative charges may flow forward and backward across the area.
Let $q_{+}$be the net amount of positive charge that flows in the forward direction across the area Similarly, let $q_{-}$be the net amount of negative charge flowing across the area in the forward direction.
The net amount of charge flowing across the area in the forward direction in the time interval t , is
$q=q_{+}-q_{-}$
For steady current, electric charge is proportional to time. so,
$\begin{array}{l}
\therefore q \propto t \\
\therefore I =\frac{q}{t}
\end{array}$
→Electric current : "The amount of electric charge passing perpendicularly through the cross-section of a conductor per unit time is called electric current."
An electric current which does not change with time is called steady current.
Currents are not always steady. In that case, average value or instantaneous value of current has to be considered.
Let $\Delta Q$ be the net charge flowing across $a ^{\prime}$ cross- section of a conductor during the time interval $\Delta t$, then the average current flowing through the conductor is
$< I >=\frac{\Delta Q }{\Delta t}$
The current at time $t$ across the cross- section of the conductor is defined as the value of the ratio of $\Delta Q$ to $\Delta t$ in the limit of $\Delta t$ tending to zero. So, instantaneous current
$\begin{aligned}
I & =\lim _{\Delta t \rightarrow 0} \frac{\Delta Q }{\Delta t} \\
\therefore I & =\frac{d Q }{d t}
\end{aligned}$
The unit of electric current is ampere (A) and current is a scalar quantity.
An ampere is typically the order of magnitude of currents in domestic appliances.
An average lighting carries currents of the order of tens of thousands of amperes $\left(\sim 10^4 A\right.$ ).
Currents in nerves of our body are in the order of microamperes. $\left(\sim 10^{-6} A\right)$

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