Understanding Electric Current and Charge Flow

This question asks us to calculate the amount of electric charge that flows through the filament of an electric bulb. We are given the electric current flowing through the filament and the duration for which the current flows.

Electric current is defined as the rate of flow of electric charge. In simple terms, it tells us how much charge passes a point in a circuit per unit time. The relationship between electric current, charge, and time is fundamental in physics.

Key Concepts and Formula

The relationship between current ($I$), electric charge ($Q$), and time ($t$) is given by the formula:

\( I = \frac{Q}{t} \)

Where:

• \( I \) is the electric current, usually measured in Amperes (A).
• \( Q \) is the electric charge, usually measured in Coulombs (C).
• \( t \) is the time, usually measured in seconds (s).

To find the amount of electric charge (\( Q \)), we can rearrange the formula:

\( Q = I \times t \)

Applying the Formula to the Problem

We are given the following information:

• Electric current (\( I \)) = 1.0 A
• Time (\( t \)) = 10 minutes

Before calculating the charge, we need to ensure all units are consistent with the SI system. The current is in Amperes (A), which is the SI unit. However, the time is given in minutes, which is not the standard SI unit for time in this context. The SI unit for time is seconds (s).

Converting Time to Seconds

To convert minutes to seconds, we use the conversion factor: 1 minute = 60 seconds.

So, 10 minutes can be converted as follows:

\( t = 10 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} \)

\( t = 600 \text{ seconds} \)

Calculating the Electric Charge

Now that we have the current in Amperes and the time in seconds, we can use the formula \( Q = I \times t \) to calculate the electric charge.

\( Q = 1.0 \text{ A} \times 600 \text{ s} \)

\( Q = 600 \text{ C} \)

Therefore, the amount of electric charge that flows through the circuit in 10 minutes is 600 Coulombs.

Summary of Calculation Steps

The calculated amount of electric charge is 600 C.

Revision Table: Electric Charge Calculation

Additional Information on Current and Charge

Electric current is a scalar quantity, but its direction is conventionally taken as the direction of flow of positive charge. In most conductors, like the filament of a bulb, the current is due to the flow of negatively charged electrons, which move in the opposite direction of the conventional current.

One Coulomb (1 C) of charge is the amount of charge transported by a constant current of one Ampere (1 A) in one second (1 s). This unit is named after Charles-Augustin de Coulomb, a French physicist.

The Ampere (A) is defined based on the force between two parallel current-carrying conductors. It is one of the seven base units of the International System of Units (SI).

Understanding the relationship \( Q = I \times t \) is crucial for solving many problems involving electric circuits and quantifying the amount of charge moved over time by a steady current.