Current as a function of time

In summary, "Current as a function of time" refers to the relationship between the flow of electric charge and the passage of time. It can be measured using instruments such as an ammeter or data logger, and is affected by factors such as circuit resistance and voltage. Understanding this concept is important in science for analyzing circuit behavior and designing more efficient systems. It also has practical applications in areas such as electronics and renewable energy.
  • #1

jst

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Homework Statement



Given an equation for charge passing through a point in a circuit versus time: q = 3t^3 – t^2. Which is the correct equation for current as a function of time?

Homework Equations


The Attempt at a Solution



Would it be: q', which would be 9t^2 - 2t

Thanks a lot,

Jason
 
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  • #2
yeah that's right you take the derivitive of q(t) with respect to t
 
  • #3
Much thanks!
 

1. What is "Current as a function of time"?

Current as a function of time refers to the relationship between the flow of electric charge, known as current, and the passage of time. It is a fundamental concept in the study of electricity and is often used to describe how the flow of current changes over a period of time.

2. How is "Current as a function of time" measured?

The measurement of current as a function of time can be done using a variety of instruments such as an ammeter or a data logger. These devices measure the flow of electric charge over a specific period of time and provide data that can be used to plot a current vs. time graph.

3. What factors can affect "Current as a function of time"?

There are several factors that can affect current as a function of time, including the resistance of the circuit, voltage, and the type of material used in the circuit. Changes in these factors can cause fluctuations in the flow of current over time.

4. Why is understanding "Current as a function of time" important in science?

Understanding current as a function of time is crucial in science because it allows us to analyze the behavior of electric circuits and devices. By studying how the flow of current changes over time, scientists can make predictions, troubleshoot issues, and design more efficient electrical systems.

5. How can "Current as a function of time" be used in practical applications?

Current as a function of time is used in many practical applications, including electronics, power distribution, and renewable energy systems. For example, by studying the current vs. time graph of a solar panel, we can determine its efficiency and make improvements to maximize its energy output.

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