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 current of \(2\,\text{A}\) flows through a resistor for \(10\) minutes. What is the total charge that passes through the resistor?
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Always convert time into seconds when using the relation \(Q = It\), since current in amperes corresponds to coulombs per second.
Updated On: Apr 30, 2026
- \(600\,\text{C}\)
- \(1200\,\text{C}\)
- \(200\,\text{C}\)
- \(2400\,\text{C}\)
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The Correct Option is B
Solution and Explanation
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
• \(Q\) = total charge (in Coulombs)
• \(I\) = electric current (in Amperes)
• \(t\) = time (in seconds) This formula helps determine how much charge flows through a conductor when a steady current passes for a certain time.
Step 1: Convert the given time into seconds. \[ 10 \text{ minutes} = 10 \times 60 = 600 \text{ seconds} \]
Step 2: Apply the formula \(Q = It\). \[ Q = 2 \times 600 \] \[ Q = 1200 \,\text{C} \] Thus, the total charge flowing through the resistor is: \[ Q = 1200 \,\text{C} \]
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