Question

A current of \(2\,\text{A}\) flows through a resistor for \(10\) minutes. What is the total charge that passes through the resistor?

• A. \(600\,\text{C}\)
• B. \(1200\,\text{C}\)
• C. \(200\,\text{C}\)
• D. \(2400\,\text{C}\) \bigskip

Hint:

Always convert time into \textbf{seconds} when using the relation \(Q = It\), since current in amperes corresponds to coulombs per second.

Answer 1

The Correct Option is B

Concept: Electric current is defined as the rate of flow of electric charge. The relation between charge, current, and time is given by: \[ Q = It \] where \begin{itemize} \item \(Q\) = total charge (in Coulombs) \item \(I\) = electric current (in Amperes) \item \(t\) = time (in seconds) \end{itemize} This formula helps determine how much charge flows through a conductor when a steady current passes for a certain time. Step 1: {\color{red}Convert the given time into seconds.} \[ 10 \text{ minutes} = 10 \times 60 = 600 \text{ seconds} \] Step 2: {\color{red}Apply the formula \(Q = It\).} \[ Q = 2 \times 600 \] \[ Q = 1200 \,\text{C} \] Thus, the total charge flowing through the resistor is: \[ Q = 1200 \,\text{C} \] \bigskip