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. \(2400\,\text{C}\)

Hint:

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

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The problem asks for the total electric charge transported through a resistor given a constant current and a specific time interval.
Step 2: Key Formula or Approach:
The fundamental relationship between charge (\(Q\)), current (\(I\)), and time (\(t\)) is defined by the formula:
\[ Q = I \times t \]
To obtain the result in Coulombs (the SI unit), the time must be expressed in seconds.
Step 3: Detailed Explanation:
First, convert the given time from minutes to seconds:
\[ t = 10 \text{ minutes} = 10 \times 60 = 600 \text{ seconds} \]
Now, substitute the values for current (\(I = 2\,\text{A}\)) and time into the formula:
\[ Q = 2 \times 600 \]
\[ Q = 1200 \,\text{C} \]
Step 4: Final Answer:
The total charge passing through the resistor is \(1200\,\text{C}\).