Derivative of current and voltage

In summary, there are physical quantities associated with the derivatives of current and voltage with respect to time in certain cases, such as in an inductor and a capacitor. However, this is a meaningless question without specifying the conditions and equations for current and voltage. The translation for "grandeza física" in English is "physical quantity". The first derivative of charge with respect to time results in current, and the second derivative results in another physical quantity. The same applies for the derivative of flux with respect to time.
  • #1
Jhenrique
685
4
Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?
 
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  • #2
Jhenrique said:
Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?

In an inductor dI/dt = V/L and in a capacitor dV/dt = I/C
 
  • #3
Jhenrique said:
Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?

This is a meaningless question. Current is a function of what is happening in the circuit and so is voltage. You have to find the equations for the current and voltage and then, sure, you can take the derivative. You have not specified any conditions, so there is nothing to take a derivative OF.

As Jhenrique pointed out, for the very limited cases of an inductor and a capacitor there are specific relationships among voltage/current/inductance and voltage/current/capacitance
 
  • #4
I don't know how the americans speak "grandeza física" (pt-br) in english. "Grandeza física" for me is: area A, volume V, voltage v, force F, work W, power P, velocity v, acceleration a, etc, etc. I think that the translate is "physical quantity". Anyway... the first derivative of the carge q(t) wrt time t results the current i(t), so, the 2nd derivative results another "physical quantity" ?(t) ?

Similarly, dΦ/dt = v(t), so d²Φ/dt² = ?(t)
 
  • #5


The derivative of current with respect to time is known as the rate of change of current, or the current's time derivative. This quantity is important in understanding the behavior of electric circuits and is often used in analyzing transient effects.

Similarly, the derivative of voltage with respect to time is known as the rate of change of voltage, or the voltage's time derivative. This quantity is also important in understanding the behavior of electric circuits, particularly in analyzing the response to varying inputs.

In both cases, the derivative with respect to time is a physical quantity that represents the rate of change of the respective electrical quantity. It can be measured experimentally and is crucial in understanding the dynamics of electric circuits.
 

1. What is a derivative of current and voltage?

A derivative of current and voltage is a mathematical concept that represents the rate of change of current or voltage with respect to time. It is used to measure how quickly these electrical quantities are changing over time.

2. How is a derivative of current and voltage calculated?

A derivative of current and voltage is calculated using calculus, specifically the derivative rule. This involves taking the limit of the change in current or voltage over a small change in time, as the time interval approaches zero.

3. What is the significance of a derivative of current and voltage?

The derivative of current and voltage is significant because it allows us to analyze electrical circuits and understand how currents and voltages are changing over time. It is also used in many practical applications, such as in the design of electronic devices.

4. Can a derivative of current and voltage be negative?

Yes, the derivative of current and voltage can be negative. This indicates a decreasing rate of change, meaning that the current or voltage is decreasing over time.

5. How is a derivative of current and voltage related to power?

The derivative of current and voltage is related to power through the power equation, P=IV. By taking the derivative of this equation, we can determine how the power output of a circuit is changing over time.

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