If the current through an electrical machine running on direct current is 15 A and the machine runs for 10 minutes, the charge that passes through the machine during this time is:

The correct answer is Option D based on the fundamental relationship between electric current, charge, and time. Electric current (I) is defined as the rate of flow of electric charge (Q) through a conductor per unit time (t). This is expressed by the formula:

Q = I × t

To find the charge in Coulombs (C), we must ensure all units are in the International System of Units (SI). Given in the question:

• Current (I) = 15 A
• Time (t) = 10 minutes

First, convert the time from minutes to seconds: 10 minutes = 10 × 60 seconds = 600 seconds.

Now, substitute the values into the formula:

Q = 15 A × 600 s = 9000 C

Thus, the total charge that passes through the electrical machine during this period is 9000 C.