A circuit has a current of 2 A flowing for 5 minutes. What is the total charge that has flowed through the circuit?
Understand the Problem
The question is asking us to calculate the total charge that has flowed through a circuit given the current and the duration of flow. We can use the formula Q = I × t, where Q is the charge, I is the current in amperes, and t is the time in seconds.
Answer
$Q = I \times t$
Answer for screen readers
$Q = I \times t$
Steps to Solve
- Identify the variables
From the problem, we need to identify the values of current ($I$) and time ($t$).
- Use the formula for charge
The formula to calculate the total charge ($Q$) is given by:
$$ Q = I \times t $$
Here, replace $I$ with the current value in amperes and $t$ with the time value in seconds.
- Perform the calculation
Substitute the identified values into the formula and calculate $Q$. For example, if $I = 2 , \text{A}$ (amperes) and $t = 5 , \text{s}$ (seconds), then:
$$ Q = 2 , \text{A} \times 5 , \text{s} = 10 , \text{C} $$
- State the final answer
After performing the calculation, write down the final value of $Q$ which represents the total charge that has flowed through the circuit.
$Q = I \times t$
More Information
The total charge, measured in coulombs (C), is the product of current (in amperes) and time (in seconds). This formula is foundational in understanding electrical circuits.
Tips
- Confusing the units: Ensure that current is in amperes and time is in seconds. If using different units, convert them appropriately.
- Forgetting to multiply: Make sure to correctly apply the multiplication of current and time.
AI-generated content may contain errors. Please verify critical information
