Question

10 Ampere of current is passed through a metallic conductor. The charge flowing in one minute in coulomb will be:
A. 300C
B. 1C
C. 10C
D. 600C

Answer 1

Hint: Define current. Ampere is the unit of current given by the amount of charge flowing through a conductor in unit time. Obtain the mathematical expression for current flow. Put the given values to find the amount of charge.

Complete answer: Current through a conductor can be defined as the rate of electron flow through a point in a conductor which is connected to a complete electrical circuit. We can also define it as the charge flowing through a point in a circuit per unit time.
The SI unit of current is ampere which can be expressed as the charge per unit time. The current of value one ampere means that one coulomb of charge is flowing through a point in the circuit in one second.
Mathematically we can express the current as,
$I=\dfrac{Q}{t}$
Where, I is the current flowing through a conductor, Q is the amount of charge flowing through the conductor and t is the time for which the charge is flowing.
Given in the question that, the current passing through a point in a metallic conductor is, $I=10A$ .
The time for which the charge is flowing is, $t=1\text{minute}=60\text{seconds}$
So, putting these values in the mathematical expression for current, we will get that,

$\begin{align}
  & I=\dfrac{Q}{t} \\
 & 10=\dfrac{Q}{60} \\
 & Q=600C \\
\end{align}$
So, the charge flowing in one minute through the conductor is 600 C.
So, the correct answer is “Option D”.

Note:
Unit of charge is coulomb. The charge of one electron is approximately $1.6\times {{10}^{-19}}C$, so one coulomb of charge contains electrons. One coulomb can also be defined as the amount of charge flowing form a current of one ampere flowing for one second.