Question

A current of 5 A flows through a wire for 10 minutes. The total charge passed is: 

• A. 500 C
• B. 50 C
• C. 300 C
• D. 3000 C Correct Answer: (D) 3000 C Solution:

Hint:

Remember the basic relation: \[ Q=It \] One ampere means one coulomb of charge flows per second.

Answer 1

The Correct Option is D

Concept: Electric current is defined as the rate of flow of electric charge through a conductor. Mathematically, \[ I=\frac{Q}{t} \] where

• \(I\) = current (ampere)

• \(Q\) = charge (coulomb)

• \(t\) = time (second)
Rearranging the formula, \[ Q=It \] This relation is used to calculate the amount of charge flowing through a conductor when current and time are known.

Step 1: Write the given data. Current flowing through the wire: \[ I=5\,A \] Time: \[ t=10 \text{ minutes} \] Since SI units require time in seconds, \[ t=10\times 60=600 \text{ s} \]

Step 2: Apply the formula \(Q=It\). Substituting the values, \[ Q=(5)(600) \] \[ Q=3000 \] \[ Q=3000\,C \]

Step 3: State the result. Hence, the total charge passing through the wire is \[ \boxed{3000\,C} \] Therefore, the correct option is \(\boxed{(D)}\).