A current of 10 A flows through aconductor for two minutes.(i) Calculate the amount of charge passingthrough the conductor

1. Break Down the Problem

To solve this problem, we need to determine the total charge (Q) that passes through a conductor when a current (I) flows for a specific time (t). The relationship between current, charge, and time can be expressed with the formula: $Q = I \times t$ Where:

• $Q$ is the charge in coulombs (C)
• $I$ is the current in amperes (A)
• $t$ is the time in seconds (s)

2. Relevant Concepts

The relevant concepts we need to consider are:

• The definition of current (I) as the rate of flow of charge.
• The conversion of time from minutes to seconds since the standard unit of time in this context is seconds.

3. Analysis and Detail

1. Given current $I = 10 \, \text{A}$.
2. Time is given as 2 minutes. We need to convert this to seconds: $t = 2 \, \text{minutes} \times 60 \, \text{seconds/minute} = 120 \, \text{seconds}$
3. Now, substitute these values into the formula: $Q = I \times t = 10 \, \text{A} \times 120 \, \text{s} = 1200 \, \text{C}$

4. Verify and Summarize

The calculations were carried out step-by-step using the appropriate formula. The time was converted correctly, and the substitution into the charge formula was executed properly.

Final Answer

The amount of charge passing through the conductor is $1200 \, \text{C}$.