Integrate Physics: q(t) = 10.00t^2

In summary, the conversation discusses the function q(t) in physics, which represents the charge as a function of time. This function is derived from the equation q = It, where q is the charge, I is the current, and t is the time. It is commonly used in electrical engineering and physics to predict the charge in electric systems and can also be used in the study of electromagnetism and design of electrical circuits. The coefficient 10.00 in the equation represents the current and is important in determining the behavior of the system. However, this equation can only be used for systems where the current is directly proportional to the square of time.
  • #1
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|q|(t) = ∫|v|(t)dt

= ∫10.00t dt

How do i integrate this?
 
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  • #2
You have to ask yourself the question, 'what would I differentiate that would give me 10t?'
 

1. What is q(t) and what does it represent?

Q(t) is a function in physics that represents the charge as a function of time. In this case, it represents the charge at any given time t, where t is measured in seconds. The function q(t) = 10.00t^2 shows that the charge is directly proportional to the square of time.

2. How is this equation derived?

This equation is derived from the equation q = It, where q is the charge, I is the current, and t is the time. By using the equation q = It and substituting I = 10t, we get q(t) = 10.00t^2. This equation is derived from the relationship between current and charge in an electric system.

3. How is this equation used in real-world applications?

This equation is commonly used in electrical engineering and physics to predict the charge at any given time in an electric system. It can be used to calculate the total charge of a system over a certain period of time, or to analyze the behavior of a system as time progresses. It is also used in the study of electromagnetism and in the design of electrical circuits.

4. What is the significance of the coefficient 10.00 in the equation?

The coefficient 10.00 represents the current in the system. It shows that the current is directly proportional to the square of time. This means that as time increases, the current also increases at a faster rate. This coefficient is important in determining the behavior of the electric system and the resulting charge.

5. Can this equation be used for all electric systems?

No, this equation is specifically used for systems where the current is directly proportional to the square of time. In other systems, the relationship between current and charge may be different and therefore, a different equation would be used. It is important to understand the characteristics of the system before applying this equation.

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