Question

A current of \( 2.0 \, \text{A} \) is passed through a conductor for \( 10 \, \text{minutes} \). How much charge passes through the conductor?

• A. \( 1.2 \times 10^3 \, \text{C} \)
• B. \( 1.0 \times 10^3 \, \text{C} \)
• C. \( 2.0 \times 10^3 \, \text{C} \)
• D. \( 3.0 \times 10^3 \, \text{C} \)

Hint:

The charge passing through a conductor is directly proportional to the current and the time, given by \( Q = I \times t \). Make sure to convert time into seconds when using this formula.

Answer 1

The Correct Option is A

The charge \( Q \) passing through a conductor is related to the current \( I \) and the time \( t \) by the equation: \[ Q = I \times t \] Where: - \( I = 2.0 \, \text{A} \) (current), - \( t = 10 \, \text{minutes} = 10 \times 60 = 600 \, \text{seconds} \) (time). Substitute the values: \[ Q = 2.0 \times 600 = 1200 \, \text{C} \] Thus, the charge passing through the conductor is \( 1.2 \times 10^3 \, \text{C} \).